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Call number: | 9783319520452:ONLINE Show nearby items on shelf |
Title: | Information Geometry and Population Genetics The Mathematical Structure of the Wright-Fisher Model |
Author(s): |
Julian Hofrichter |
Date: | 2017 |
Size: | 1 online resource (XII, 320 p. 3 illus., 2 illus. in color p.) |
Contents: | 1. Introduction -- 2. The Wright–Fisher model -- 3. Geometric structures and information geometry -- 4. Continuous approximations -- 5. Recombination -- 6. Moment generating and free energy functionals -- 7. Large deviation theory -- |
8. The forward equation -- 9. The backward equation -- 10.Applications -- Appendix -- A. Hypergeometric functions and their generalizations -- Bibliography | |
ISBN: | 9783319520452 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Human genetics , Mathematical analysis , Analysis (Mathematics) , Geometry , Probabilities , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistical Theory and Methods , Human Genetics , Analysis , Geometry , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-2016-9783319320434:ONLINE Show nearby items on shelf |
Title: | The Mathematics Behind Biological Invasions |
Author(s): |
Mark A Lewis |
Date: | 2016 |
Size: | 1 online resource (19 p.) |
Note: | 10.1007/978-3-319-32043-4 |
Contents: | Introduction.-Dynamics of Biological Invasions.-Reaction-Diffusion Models: Single Species -- Invasion in a Multispecies System -- Long-Distance Dispersal and Spread -- A User’s Guide to Integrodifference Models for Invasive Spread -- Stochasticit y and Invasion Dynamics -- Stochastic Spread -- Assessing Invasion Risk -- Responding to invasions: Detection, control, and adaptation -- Appendix.-References.-Index |
ISBN: | 9783319320434 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 44 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Partial differential equations , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Genetics and Population Dynamics , Dynamical Systems and Ergodic Theory , Partial Differential Equations |
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Call number: | SPRINGER-2016-9783319242989:ONLINE Show nearby items on shelf |
Title: | Recent Trends in Combinatorics |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (14 p.) |
Note: | 10.1007/978-3-319-24298-9 |
Contents: | Section 1: Extremal and Probabilistic Combinatorics -- Problems Related to Graph Indices in Trees -- The edit distance in graphs: methods, results and generalizations -- Repetitions in graphs and sequences -- On Some Extremal Problems for Cycles in Graphs -- A survey of Turan problems for expansions -- Survey on matching, packing and Hamilton cycle problems on hypergraphs -- Rainbow Hamilton cycles in random graphs and hypergraphs -- Further applications of the Container Method -- Independent transv ersals and hypergraph matchings - an elementary approach -- Giant components in random graphs -- Infinite random graphs and properties of metrics -- Nordhaus-Gaddum Problems for Colin de Verdière Type Parameters, Variants of Tree-width, and Related Param eters -- Algebraic aspects of the normalized Laplacian -- Poset-free Families of Subsets.- Mathematics of causal sets -- Section 2: Additive and Analytic Combinatorics -- Lectures on Approximate groups and Hilbert's 5th Problem -- Character |
sums and arithmetic combinatorics -- On sum-product problem -- Ajtai-Szemerédi Theorems over quasirandom groups -- Section 3: Enumerative and Geometric Combinatorics -- Moments of orthogonal polynomials and combinatorics -- The combinatorics of kno t invariants arising from the study of Macdonald polynomials -- Some algorithmic applications of partition functions in combinatorics -- Partition Analysis, Modular Functions, and Computer Algebra -- A survey of consecutive patterns in permutations -- Uni modality Problems in Ehrhart Theory -- Face enumeration on simplicial complexes -- Simplicial and Cellular Trees -- Parametric Polyhedra with at least k Lattice Points: Their Semigroup Structure and the k-Frobenius Problem.- Dynamical Algebraic Combinator ics and the Homomesy Phenomenon | |
ISBN: | 9783319242989 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | The IMA Volumes in Mathematics and its Applications: 159 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Functional analysis , Convex geometry , Discrete geometry , Combinatorics , Biomathematics , Mathematics , Combinatorics , Convex and Discrete Geometry , Dynamical Systems and Ergodic Theory , Functional Analysis , Genetics and Population Dynamics |
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Call number: | SPRINGER-2014-9783662441404:ONLINE Show nearby items on shelf |
Title: | Theory and Applications of Difference Equations and Discrete Dynamical Systems [electronic resource] : ICDEA, Muscat, Oman, May 26 - 30, 2013 |
Author(s): |
Ziyad AlSharawi Jim M Cushing Saber Elaydi |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices inthe theory and appli cations of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular,mathematical biology, ecology, and epidemi ology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear differenceequations, chaos and wild chaos in Lorenz-type systems, advances in peri odic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of differenceequations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications. |
Contents: | Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu |
Benford solutions of linear difference equations: Arno Berger and Gideon Eshun | |
Harvesting and dynamics in some one | |
dimensional population models: Eduardo Liz and Frank M. Hilker | |
Chaos and wild chaos in Lorenz | |
type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer | |
Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas | |
Advances in periodic difference equations with open problems: Ziyad A | |
ISBN: | 9783662441404 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v102 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differentiable dynamical systems , Genetics Mathematics |
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Call number: | SPRINGER-2014-9783642390104:ONLINE Show nearby items on shelf |
Title: | Stochastic Foundations in Movement Ecology [electronic resource] : Anomalous Diffusion, Front Propagation and Random Searches |
Author(s): |
Vicen Mndez Daniel Campos Frederic Bartumeus |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lvy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitativelydescribing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies. Adopting a self-contained, textbook-style approach, the authors provide the elements of statisticalphysics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicitdefinition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems. Including numerous exercises (with solutions), this text isaimed at graduate students and newcomers in this field at the interface of theoretical ecology, ma thematical biology and physics |
Contents: | Elements of Probability Theory |
Introduction to Stochastic Processes | |
Microscopic, Mesoscopic and Macroscopic Descriptions of Dispersal | |
Continuous | |
Time Random Walks and Anomalous Diffusion | |
Reaction | |
Dispersal Models and Front Propagation | |
Stochastic Optimal Foraging Theory | |
Cell Motion and Chemotaxis | |
Host | |
Pathogen Interactions | |
Biological Invasions | |
Random Search in Model Organisms | |
ISBN: | 9783642390104 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Series in Synergetics, 0172-7389 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Ecology , Genetics Mathematics , Engineering |
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Call number: | SPRINGER-2014-9783319042145:ONLINE Show nearby items on shelf |
Title: | Analysis and Topology in Nonlinear Differential Equations [electronic resource] : A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday |
Author(s): |
Djairo G Figueiredo Joo Marcos do Carlos Tomei |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in Joo Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60thbirthday, is perceptibl e throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novelapplications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fullynonlinear equations and systems with different nonlinearities, at sub - and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusionproblems in mathematical genetics and finance and evolution equations related to electromechanic al devices |
Contents: | Preface |
Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains | |
Multiplicity of Positive Solutions for an Obstacle Problem in R | |
Elliptic Problems in Unbounded Cylinders | |
Basic Properties of Ultra functions | |
Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator | |
Equivariant Bifurcation in Geometric Variational Problems | |
And many more | |
ISBN: | 9783319042145 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Progress in Nonlinear Differential Equations and Their Applications : v85 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mathematical optimization , Topology |
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Call number: | SPRINGER-2013-9783642331312:ONLINE Show nearby items on shelf |
Title: | Quasi-Stationary Distributions [electronic resource] : Markov Chains, Diffusions and Dynamical Systems |
Author(s): |
Pierre Collet Servet Martnez Jaime San Martn |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present theQSDs as the ones that al low describing the long-term behavior conditioned to not being killed. Studies in this research area started with Kolmogorov and Yaglom and in the last few decades have received a great deal of attention. Theauthors provide the exponential distribution pr operty of the killing time for QSDs, present the more general result on their existence and study the process of trajectories that survive forever. For birth-and-death chains anddiffusions, the existence of a single or a continuum of QSDs is described. Th ey study the convergence to the extremal QSD and give the classification of the survival process. In this monograph, the authors discuss Gibbs QSDs forsymbolic systems and absolutely continuous QSDs for repellers. The findings described are relevant to re searchers in the fields of Markov chains, diffusions, potential theory, dynamical systems, and in areas where extinction is acentral concept. The theory is illustrated with numerous examples. The volume uniquely presents the distribution behavior of indiv iduals who survive in a decaying population for a very long time. It also provides the background forapplications in mathematical ecology, statistical physics, computer sciences, and economics |
Note: | Springer eBooks |
Contents: | 1.Introduction |
2.Quasi | |
stationary Distributions: General Results | |
3.Markov Chains on Finite Spaces | |
4.Markov Chains on Countable Spaces | |
5.Birth and Death Chains | |
6.Regular Diffusions on [0,) | |
7.Infinity as Entrance Boundary | |
8.Dynamical Systems | |
References | |
Index | |
Table of Notations | |
Citations Index. | |
ISBN: | 9783642331312 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Probability and Its Applications, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential equations, partial , Genetics Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9781461472766:ONLINE Show nearby items on shelf |
Title: | Mathematics for the Life Sciences [electronic resource] : Calculus, Modeling, Probability, and Dynamical Systems |
Author(s): |
Glenn Ledder |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presentsmathematics in biological cont exts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as aone-chapter primer that is suitable for readers who have not stud ied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling thatbegins with discussions of biological data and the basic principles of modeling. The rem ainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empiricalmodeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ide as and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticatedviewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and it s applications to inferential statistics and three chapters on discrete and continuousdynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population d ynamics, predator-prey relationships, epidemiology, andimmunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate se ction, allowing readers togradually develop complete investigations from understanding the biological assumptions to a complete analysis |
Note: | Springer eBooks |
Contents: | A Brief Summary of Calculus |
Mathematical Modeling | |
Probability Distributions | |
Working with Probability | |
Dynamics of Single Populations | |
Discrete Dynamical Systems | |
Continuous Dynamical Systems | |
Index | |
ISBN: | 9781461472766 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Life sciences , Differentiable dynamical systems |
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Call number: | SPRINGER-2012-9783642299827:ONLINE Show nearby items on shelf |
Title: | Stochastic Analysis and Related Topics [electronic resource] : In Honour of Ali Sleyman stnel, Paris, June 2010 |
Author(s): |
Laurent Decreusefond Jamal Najim |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Since the early eighties, Ali Sleyman stnel has been one of the main contributors to the field of Malliavin calculus. In a workshop held in Paris, June 2010 several prominent researchers gave exciting talks in honor of his60th birthday. The present v olume includes scientific contributions from this workshop. Probability theory is first and foremost aimed at solving real-life problems containing randomness. Markov processes are one of the key tools formodeling that plays a vital part concerning such p roblems. Contributions on inventory control, mutation-selection in genetics and public-private partnerships illustrate several applications in this volume. Stochastic differentialequations, be they partial or ordinary, also play a key role in stochastic m odeling. Two of the contributions analyze examples that share a focus on probabilistic tools, namely stochastic analysis and stochastic calculus. Three otherpapers are devoted more to the theoretical development of these aspects. The volume addresses grad uate students and researchers interested in stochastic analysis and its applications |
Note: | Springer eBooks |
Contents: | 1.Boubacar Bah, Etienne Pardoux and Ahmadou Bamba Sow: A lookdown model with selection |
2.Alain Bensoussan: Control of Inventories with Markov Demand | |
3.Zdzisaw Brzezniak and Annie Millet: On the splitting method for some complex | |
valued quasilinear evolution equations | |
4. Caroline Hillairet and Monique Pontier: A Modelisation of Public Private Parternships with failure time | |
5.Joseph Najnudel, Daniel Stroock and Marc Yor: On a flow of transformations of a Wiener space | |
6.Nicolas Privault: Measure invariance on the Lie | |
Wiener path space | |
7.Denis Talay: Derivatives of Solutions | |
ISBN: | 9783642299827 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v22 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Genetics Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2012-9783034802864:ONLINE Show nearby items on shelf |
Title: | For Better or For Worse? Collaborative Couples in the Sciences [electronic resource] |
Author(s): |
Annette Lykknes Donald L Opitz Brigitte Van Tiggelen |
Date: | 2012 |
Publisher: | Basel : Springer Basel : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In this volume, a distinguished set of international scholars examine the nature of collaboration between life partners in the sciences, with particular attention to the ways in which personal and professional dynamics can fosteror inhibit scientific practice. Breaking from traditional gender analyses which focus on divisions of labor and the assignment of credit, the studies scrutinize collaboration as a variable process between partners living in thenineteenth and twentieth centuries who were marri ed and divorced, heterosexual and homosexual, aristocratic and working-class and politically right and left. The contributors analyze cases shaped by their particular geographicallocations, ranging from retreat settings like the English countryside and Wo ods Hole, Massachusetts, to university laboratories and urbancenters in Berlin, Stockholm, Geneva and London. The volume demonstrates how the terms andmeanings of collaboration, variably shaped by disciplinary imperatives, cultural mores, and the agency o f the collaborators themselves, illuminate critical intellectual and institutional developments in the modern sciences |
Note: | Springer eBooks |
Contents: | Foreword, by S.G. Kohlstedt |
1. Introduction | |
2. The Making of a Bestseller: Alexander and Jane Marcets Conversations on Chemistry, by J | |
J. Dreifuss and N.T. Sigrist | |
3. Not merely wifely devotion: Collaborating in the Construction of Science at Terling Place, by D.L. Opitz | |
4. The Mystery of the Nobel Laureate and His Vanishing Wife, by J. Harvey | |
5. Married for Science, Divorced for Love: Success and Failure in the Collaboration between Astrid Cleve and Hans von Euler | |
Chelpin, by K. Espmark and C. Nordlund | |
6. Ida and Walter Noddack through Better and Worse: An Arbeitsge | |
ISBN: | 9783034802864 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Science Networks. Historical Studies : v44 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science History , Chemistry , Plant breeding , Animal genetics |
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Call number: | SPRINGER-2012-9781461442110:ONLINE Show nearby items on shelf |
Title: | Methods of Optimization and Systems Analysis for Problems of Transcomputational Complexity [electronic resource] |
Author(s): |
Ivan V Sergienko |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This work presents lines of investigation and scientific achievements of the Ukrainian school of optimization theory and adjacent disciplines. These include the development ofapproaches to mathematical theories, methodologies,methods, and application systems for the solution of applied problems in economy, finances, energy saving, agriculture, biology, genetics, environmental protection, hardware and software engineering, information protection, decisionmaking, pattern recognition, self-adapting cont rol of complicated objects, personnel training, etc. The methods developed include sequential analysis of variants, nondifferential optimization, stochastic optimization, discreteoptimization, mathematical modeling, econometric modeling, solution of extre mum problems on graphs, construction of discrete images and combinatorial recognition, etc. Some of these methods became well known in the world's mathematicalcommunity and are now known as classic methods |
Note: | Springer eBooks |
Contents: | Preface |
1. Science Was the Meaning of His Life | |
2. Optimization Methods and Their Efficient Use | |
3.Mathematical Modeling and Analysis of Complex Processes on Supercomputer Systems | |
4. Problems of Modeling and Analysis of Processes in Economic Cybernetics | |
5. Problems of Solving Complicated Combinatorial Problems | |
Afterward | |
References | |
Index | |
ISBN: | 9781461442110 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v72 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Computer vision , Mathematical optimization |
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Call number: | SPRINGER-2012-9780817648015:ONLINE Show nearby items on shelf |
Title: | Parametric Statistical Change Point Analysis [electronic resource] : With Applications to Genetics, Medicine, and Finance |
Author(s): |
Jie Chen Arjun K Gupta |
Date: | 2012 |
Edition: | Second Edition |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Overall, the book gives a clear and systematic presentation of models and methods. It will be an excellent source for theoretical and applied statisticians who are interested in research on change-point analysis and itsapplications to many areas. Mat hematical Reviews (Review of the First Edition) Revised and expanded, Parametric Statistical Change Point Analysis, Second Edition is an in-depth study of the change point problem from a generalpoint of view, and a deeper look at change point analysis of the most commonly used statistical models. For some time, change point problems have appeared throughout the sciences in such disciplines as economics, medicine, psychology,signal processing, and geology more recently, they havealso been found extensively in applications related to biomedical imaging data, array Comparative Genomic Hybridization (aCGH) data, and gene expression data. These areas ofinterestnew and oldhave motivated substantial research on change point problems and led to a significant body of literature in the field. The present monograph stands as a valuable contribution to this literature. Key featuresand topics: * Clear and systematic exposition with a great deal of introductory material included * Different models in each chapter, incl uding gamma and exponential models, rarely examined thus far in the literature *Extensive examples to emphasize key concepts and different methodologies used, namely the likelihood ratio criterion as well as the Bayesian and information criterion approach es * An up-to-date comprehensive bibliography and twoindices. New to the Second Edition: * New examples of change point analysis in modern molecular biology and other fields such as finance and air traffic control * Two new sections of applications of the underlying change pointmodels in analyzing the array Comparative Genomic Hybridization (aCGH) data for DNA copy number changes * A new chapter on change points in the |
Note: | Springer eBooks |
Contents: | Preface |
Preliminaries | |
Introduction | |
Univariate Normal Model | |
Multivariate Normal Model | |
Regression Model | |
Gamma Model | |
Exponential Model | |
Change Point Model for the Hazard Function | |
Discrete Models | |
Other Models | |
Bibliography | |
Author Index | |
Subject Index | |
ISBN: | 9780817648015 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematics , Distribution (Probability theory) , Mathematical statistics , Economics Statistics |
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Call number: | SPRINGER-2011-9789400701717:ONLINE Show nearby items on shelf |
Title: | Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems [electronic resource] |
Author(s): |
Masanori Ohya I Volovich |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm,functional analysis, prob ability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on thetheory of entropy in C*-dynamical systems, spa ce-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usualquantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 Algorithms and Computation | |
3 Basics of Classical Probability | |
4 Basics of Infinite Dimensional Analysis | |
5 Basics of Quantum Mechanics | |
6 Fundamentals of Classical Information Theory | |
7 Fundamentals of Quantum Information | |
8 Locality and Entanglement | |
9 Quantum Capacity and Coding | |
10 Information Dynamics and Adaptive Dynamics | |
11 Mathematical Models of Quantum Computer | |
12 Quantum Algorithms I | |
13 Quantum Algorithms II | |
14 Quantum Algorithms III | |
15 Quantum Error Correction | |
16 Quantum Field Theory | |
Locality and Entanglement | |
17 Quantum Cry | |
ISBN: | 9789400701717 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Theoretical and Mathematical Physics, 1864-5879 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Bioinformatics , Mathematics , Quantum theory |
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Call number: | SPRINGER-2011-9783034801225:ONLINE Show nearby items on shelf |
Title: | The Mathematics of Darwins Legacy [electronic resource] |
Author(s): |
Fabio A. C. C Chalub Jos Francisco Rodrigues |
Date: | 2011 |
Publisher: | Basel : Springer Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book presents a general overview of mathematical models in the context of evolution. It covers a wide range of topics such as population genetics, population dynamics, speciation, adaptive dynamics, game theory, kinselection, and stochastic proce sses. Written by leading scientists working at the interface between evolutionary biology and mathematics the book is the outcome of a conference commemorating Charles Darwin's 200th birthday, and the150th anniversary of the first publication of his book On the origin of species. Its chapters vary in format between general introductory and state-of-the-art research texts in biomathematics, in this way addressing both studentsand researchers in mathematics, biology and related fields. Mathematicians lookin g for new problems as well as biologists looking for rigorous description of population dynamics will find this book fundamental |
Note: | Springer eBooks |
Contents: | Preface |
What changes has mathematics made to the Darwinian theory? by Warren J. Ewens | |
The mathematics of Darwins theory of evolution: 1859 and 150 years later by Peter Schuster | |
Some Mathematical Models in Evolutionary Genetics by Reinhard Brger | |
Extinction, Persistence, and Evolution by Peter Jagers | |
Group Theory in Homogeneous Populations (Rescuing Darwin from the mud) by Peter Taylor | |
Evolutionary dynamics of collective action by Jorge M. Pacheco, Francisco C. Santos, Max O. Souza and Brian Skyrms | |
On kin and group selection, and the haystack model by Vincent A. A. Jans | |
ISBN: | 9783034801225 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Biosciences in Interaction |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics |
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Call number: | SPRINGER-2011-9781461407973:ONLINE Show nearby items on shelf |
Title: | Graphs and Cubes [electronic resource] |
Author(s): |
Sergei Ovchinnikov |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. This branch of graphtheory has developed r apidly during the past three decades, producing exciting results and establishing links to other branches of mathematics. Currently, Graphs and Cubes is the only book available on the market that presents acomprehensive coverage of cubical graph and part ial cube theories. Many exercises, along with historical notes, are included at the end of every chapter, and readers are encouraged to explore the exercises fully, and use them as abasis for research projects. The prerequisites for this text include fam iliarity with basic mathematical concepts and methods on the level of undergraduate courses in discrete mathematics, linear algebra, group theory, and topologyof Euclidean spaces. While the book is intended for lower-division graduate students in mathemat ics, it will be of interest to a much wider audience because of their rich structural properties, partial cubes appear in theoreticalcomputer science, coding theory, genetics, and even the political and social sciences |
Note: | Springer eBooks |
Contents: | Preface |
1 Graphs | |
2 Bipartite Graphs | |
3 Cubes | |
4 Cubical Graphs | |
5 Partial Cubes | |
6 Lattice Embeddings | |
7 Hyperplane Arrangements | |
8 Token Systems | |
Notation | |
References | |
Index | |
ISBN: | 9781461407973 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2011-9780857291158:ONLINE Show nearby items on shelf |
Title: | A Short History of Mathematical Population Dynamics [electronic resource] |
Author(s): |
Nicolas Bacar |
Date: | 2011 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much moremodest but has recentl y grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology anddemography---where mathematics has brought si gnificant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy the development ofstochastic models, from Mendel's laws and the question of extinction of fa mily names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of thisbook will see, from a different perspective, the problems that scientists face when governments as k for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread ofgenetically modified organisms) or anticipate demographic evolutions such as aging. |
Note: | Springer eBooks |
Contents: | The Fibonacci sequence (1202) |
Halleys life table (1693) | |
Euler and the geometric growth of populations (17481761) | |
Daniel Bernoulli, dAlembert and the inoculation of smallpox (1760) | |
Malthus and the obstacles to geometric growth (1798) | |
Verhulst and the logistic equation (1838) | |
Bienaym, Cournot and the extinction of family names (18451847) | |
Mendel and heredity (1865) | |
Galton, Watson and the extinction problem (18731875) | |
Lotka and stable population theory (19071911) | |
The HardyWeinberg law (1908) | |
Ross and malaria (1911) | |
Lotka, Volterra and the | |
ISBN: | 9780857291158 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Biology Mathematics , Mathematics_$xHistory |
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Call number: | SPRINGER-2011-9780817680893:ONLINE Show nearby items on shelf |
Title: | Advances in Dynamic Games [electronic resource] : Theory, Applications, and Numerical Methods for Differential and Stochastic Games |
Author(s): |
Michle Breton Krzysztof Szajowski |
Date: | 2011 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. The selectedcontributions, written by expert s in their respective disciplines, are outgrowths of presentations originally given at the 13th International Symposium of Dynamic Games and Applications held in Wrocaw. The book covers a variety oftopics, ranging from theoretical developments in game the ory and algorithmic methods to applications, examples, and analysis in fields as varied as environmental management, finance and economics, engineering, guidance and control, andsocial interaction. The book is thematically organized into five parts: * The oretical developments in differential and dynamic games * Pursuit-evasion and guidance games * Evolutionary games * Stability and time consistency incooperative games * Applications and numerical approaches in environmental and renewable resource manageme nt, finance, insurance and economics, supply chains, and telecommunications. Featured throughout are useful tools and valuableresources for researchers, practitioners, and graduate students interested in dynamic games and their applications in applied mat hematics, engineering, economics, and management science. Also included in the volume is a special tributeto Arik Melikyan, honoring his memory and the many contributions he made to the field of dynamic games |
Note: | Springer eBooks |
Contents: | Preface |
Contents | |
A Tribute to Arik Melikyan | |
Part I: Dynamic Games: Theoretical Developments | |
Part II: Pursuit Evasion Games | |
Part III: Evolutionary Games | |
Part IV: Cooperative Games | |
Part V: Applications and Numerical Approaches | |
ISBN: | 9780817680893 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Annals of the International Society of Dynamic Games : v11 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Engineering mathematics , Economics, Mathematical |
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Call number: | SPRINGER-2010-9783642114434:ONLINE Show nearby items on shelf |
Title: | Reaction-Transport Systems [electronic resource] : Mesoscopic Foundations, Fronts, and Spatial Instabilities |
Author(s): |
Werner Horsthemke Sergei Fedotov Vicenc Mendez |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simplyclassical diffusion ( Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties. Topics addressed include transport withinertia, described by persistent random walks an d hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular subdiffusion, where the mean square displacement grows sublinearly with time. In particularreaction-diffusion systems are studied where the medium is in turn eit her spatially inhomogeneous, compositionally heterogeneous or spatially discrete. Applications span a vast range of interdisciplinary fields and the systemsconsidered can be as different as human or animal groups migrating under external influences, popul ation ecology and evolution, complex chemical reactions, or networks of biological cells. Several chapters treat these applications indetail |
Note: | Springer eBooks |
Contents: | Reaction Kinetics |
Reactions and Transport: Diffusion Inertia, and Subdiffusion | |
Random Walks and Mesoscopic Reaction | |
Transport Equations | |
Reaction | |
Diffusion Fronts | |
Reaction | |
Transport Fronts Propagating into Unstable States | |
Reaction | |
Diffusion Fronts in Complex Structures | |
Ecological Applications | |
Biomedical Applications | |
Persistence and Extinction of Populations in Finite Domains | |
Turing Instabilities in Homogeneous Systems | |
Turing Instabilities in Reaction | |
Diffusion Systems With Temporally or Spatially Varying Parameters | |
Chemical and Biological Applications of Turing | |
ISBN: | 9783642114434 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Synergetics, 0172-7389 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Chemical engineering , Ecology , Genetics Mathematics |
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Call number: | SPRINGER-2010-9783642111945:ONLINE Show nearby items on shelf |
Title: | The Poisson-Dirichlet Distribution and Related Topics [electronic resource] Models and Asymptotic Behaviors |
Author(s): |
Shui Feng |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Poisson-Dirichlet distribution is an infinite dimensional probability distribution. It was introduced by Kingman over thirty years ago, and has found applications in a broad range of areas including Bayesian statistics,combinatorics, differential geometry, economics, number theory, physics, and population genetics. This monograph provides a comprehensive study of this distribution and some related topics, with particular emphasis on recent progressesin evolutionary dynamics and asymptotic behavio rs. One central scheme is the unification of the Poisson-Dirichlet distribution, the urn structure, the coalescent, the evolutionary dynamics through the grand particle system of Donnellyand Kurtz. It is largely self-contained. The methods and techniques used in it appeal to researchers in a wide variety of subjects |
Note: | Springer eBooks |
Contents: | Preface |
Part I: Models | |
1. Introduction | |
2. The PoissonDirichlet Distribution | |
3. The Two | |
Parameter PoissonDirichlet Distribution | |
4. The Coalescent | |
5. Stochastic Dynamics | |
6. Particle Representation | |
Part II: Asymptotic Behaviors | |
7. Fluctuation Theorems | |
8. Large Deviations for the PoissonDirichlet Distribution | |
9. Large Deviations for the Dirichlet Processes | |
A. Poisson Process and Poisson Random Measure | |
A.1. Definitions | |
A.2. Properties | |
B. Basics of Large Deviations | |
References | |
Index | |
ISBN: | 9783642111945 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Probability and its Applications, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2010-9781441971654:ONLINE Show nearby items on shelf |
Title: | Applied Probability [electronic resource] |
Author(s): |
Kenneth Lange |
Date: | 2010 |
Edition: | Second |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduatestudents in applied ma thematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, andelementary probability theory. Chapter 1 revi ews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilisticapplications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented withappropriate sections from Chapters 1 and 2, there is sufficient material for a traditional se mester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, anddiffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besidesthe two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion ofbasic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientist s from a variety of backgrounds will find Applied Probability useful as areference. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Gene |
Note: | Springer eBooks |
Contents: | Basic Notions of Probability Theory |
Calculation of Expectations | |
Convexity, Optimization, and Inequalities | |
Combinatorics | |
Combinatorial Optimization | |
Poisson Processes | |
Discrete | |
Time Markov Chains | |
Continuous | |
Time Markov Chains | |
Branching Processes | |
Martingales | |
Diffusion Processes | |
Asymptotic Methods | |
Numerical Methods | |
Poisson Approximation | |
Number Theory | |
Appendix: Mathematical Review | |
ISBN: | 9781441971654 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X : v0 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer science , Computer simulation , Biology Mathematics , Computer science Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2010-9781441958235:ONLINE Show nearby items on shelf |
Title: | Selected Works of C.C. Heyde [electronic resource] |
Author(s): |
Ross Maller Ishwar Basawa Peter Hall Eugene Seneta |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume is dedicated to the memory of the late Professor C.C. (Chris) Heyde (1939-2008), distinguished statistician, mathematician and scientist. Chris worked at a time when many of the foundational building blocks ofprobability and statistics we re being put in place by a phalanx of eminent scientists around the world. He contributed significantly to this effort and took his place deservedly among the top-most rank of researchers. Throughout hiscareer, Chris maintained also a keen interest in app lications of probability and statistics, and in the history of the subject. The magnitude of his impact on his chosen area of research, both in Australia and internationally, was wellrecognised by the abundance of honours he received within and without th e profession. The book is comprised of a number of Chriss papers covering each one of four major topics to which he contributed. These papers are reproducedherein. The topics, and the papers in them, were selected by four of Chriss friends and collaborato rs: Ishwar Basawa, Peter Hall, Ross Maller (overall Editor of the volume) and Eugene Seneta. Each topic is provided with an overviewby the selecting editor. The topics cover a range of areas to which Chris made especially important contributions: Inferenc e in Stochastic Processes, Rates of Convergence in the Central Limit Theorem, the Law of the Iterated Logarithm,and Branching Processes and Population Genetics. The Editor and the other contributors to the volume include well known researchers in probabil ity and statistics. The collection begins with an authors pick of a number of hispapers which Chris considered most interesting and significant, chosen by him shortly before his death. A biography of Chris by his close friend and collaborator, Joe Gani, i s also included. An introduction by the Editor and acomprehensive bibliography of Chriss publications complete the volume. The book will be of especial interest to researchers in proba |
Note: | Springer eBooks |
Contents: | Commentary: Authors Pick, by C. C. Heyde |
Commentary: Chris Heydes Contribution to Inference in Stochastic Processes, by Ishwar Basawa | |
Commentary: Chris Heydes Work on Rates of Convergence in the Central Limit Theorem, by Peter Hall | |
Commentary: Chris Heydes Work in Probability Theory, with an Emphasis on the LIL, by Ross Maller | |
Commentary: Chris Heyde on Branching Processes and Population Genetics, by Eugene Seneta | |
C. C. Heyde. On a property of the lognormal distribution. J. R. Stat. Soc. Ser. B Stat. Methodol. , 25:392393, 1963. Reprinted with permission of the Ro | |
ISBN: | 9781441958235 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Selected Works in Probability and Statistics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Biology Mathematics , Finance , Distribution (Probability theory) , Mathematical statistics , Econometrics |
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Call number: | SPRINGER-2010-9781441957801:ONLINE Show nearby items on shelf |
Title: | Fundamentals of Probability: A First Course [electronic resource] |
Author(s): |
Anirban DasGupta |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is a text encompassing all of the standard topics in introductory probability theory, together with a significant amount of optional material of emerging importance. The emphasis is on a lucid and accessible writing style,mixed with a large numb er of interesting examples of a diverse nature. The text will prepare students extremely well for courses in more advanced probability and in statistical theory and for the actuary exam. The book coverscombinatorial probability, all the standard univariat e discrete and continuous distributions, joint and conditional distributions in the bivariate and the multivariate case, the bivariate normal distribution, moment generatingfunctions, various probability inequalities, the central limit theorem and the law s of large numbers, and the distribution theory of order statistics. In addition, the book gives a complete and accessible treatment of finite Markovchains, and a treatment of modern urn models and statistical genetics. It includes 303 worked out examples and 810 exercises, including a large compendium of supplementary exercises for exam preparation and additional homework. Eachchapter has a detailed chapter summary. The appendix includes the important formulas for the distributions in common use and impo rtant formulas from calculus, algebra, trigonometry, and geometry. Anirban DasGupta is Professor ofStatistics at Purdue University, USA. He has been the main editor of the Lecture Notes and Monographs series, as well as the Collections series of the Insti tute of Mathematical Statistics, and is currently the Co-editor of the SelectedWorks in Statistics and Probability series, published by Springer. He has been an associate editor of the Annals of Statistics, Journal of the American Statistical Association, Journal of Statistical Planning and Inference,International Statistical Review, Sankhya, and Metrika. He is the author of Asymptotic Theory of Statistics and Probability, 2008, and of 70 refereed artic |
Note: | Springer eBooks |
Contents: | Introducing probability |
The birthday and matching problems | |
Conditional probability and independence | |
Integer | |
valued and discrete random variables | |
Generating functions | |
Standard discrete distributions | |
Continuous random variables | |
Some special continuous distributions | |
Normal distribution | |
Normal approximations and the Central Limit Theorem | |
Multivariate discrete distributions | |
Multidimensional densities | |
Convolutions and transformations | |
Markov chains and applications | |
Urn models in physics and genetics | |
Appendix I: Supplementary homework and practice problems | |
ISBN: | 9781441957801 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2010-9780817646059:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems with Applications using Maple [electronic resource] |
Author(s): |
Stephen Lynch |
Date: | 2010 |
Edition: | 2 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoysome of the interactive a spects of studying dynamics using Maple. UK Nonlinear News (Review of First Edition) The book will be useful for all kinds of dynamical systems courses. [It] shows the power of using a computeralgebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. [It] is well written and a pleasure to read, which is helped by its attention to historicalbackground. Mathematical Reviews (Review of First Edition) Since the first edition of this book w as published in 2001, Maple has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated andexpanded to include more applications, examples, and exercises, all with solutions two new chapters on neural networks and sim ulation have also been added. There are also new sections on perturbation methods, normal forms, Grbnerbases, and chaos synchronization. The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to aminimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run t hrough several chapters. The book has a hands-on approach,using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the authors websit e. Additional applications andfurther links of interest may be found at Maplesofts Application Center. Dynamical Systems with Applications using Maple is aimed at senior unde |
Note: | Springer eBooks |
Contents: | Preface |
A Tutorial Introduction to Maple Toolbox | |
Differential Equations | |
Planar Systems | |
Interacting Species | |
Limit Cycles | |
Hamiltonian Systems, Lyapunov Functions, and Stability | |
Bifurcation Theory | |
Three | |
Dimensional Autonomous Systems and Chaos | |
Poincar Maps and Nonautonomous Systems in the Plane | |
Local and Global Bifurcations | |
The Second Part of David Hilbert's Sixteenth Problem | |
Linear Discrete Dynamical Systems | |
Nonlinear Discrete Dynamical Systems | |
Complex Iterative Maps | |
Electromagnetic Waves and Optical Resonators | |
Fractals and Multifractals | |
Chaos | |
ISBN: | 9780817646059 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Genetics Mathematics , Engineering , Engineering mathematics |
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Call number: | SPRINGER-2009-9783540859642:ONLINE Show nearby items on shelf |
Title: | Local Lyapunov Exponents [electronic resource] : Sublimiting Growth Rates of Linear Random Differential Equations |
Author(s): |
Wolfgang Siegert |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Specifically, a linear differential system is considered whichis controlled by a st ochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of thelinear system on this time scale. Unlike cla ssical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too |
Note: | Springer eBooks |
Contents: | Linear differential systems with parameter excitation |
Locality and time scales of the underlying non | |
degenerate stochastic system: Freidlin | |
Wentzell theory | |
Exit probabilities for degenerate systems | |
Local Lyapunov exponents | |
ISBN: | 9783540859642 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1963 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Global analysis , Differential Equations , Differential equations, partial , Genetics Mathematics |
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Call number: | SPRINGER-2009-9780817649104:ONLINE Show nearby items on shelf |
Title: | Viability Theory [electronic resource] |
Author(s): |
Jean-Pierre Aubin |
Date: | 2009 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This work examines viability theory and its applications to control theory and differential games. The emphasis is on the construction of feedbacks and dynamical systems by myopic optimization methods. Systems of first-orderpartial differential inclu sions, whose solutions are feedbacks, are constructed and investigated. Basic results are then extended to the case of fuzzy control problems, distributed control problems, and control systems with delays andmemory. Aimed at graduate students and research mathematicians, both pure and applied, this book offers specialists in control and nonlinear systems tools to take into account general state constraints. Viability theory also allowsresearchers in other disciplinesartificial intelligence, economics, gam e theory, theoretical biology, population genetics, cognitive sciencesto go beyond deterministic models by studying them in a dynamical or evolutionaryperspective in an uncertain environment. The book is a compendium of the state of knowledge about viabil ity...Mathematically, the book should be accessible to anyone who has had basic graduate courses in modern analysis and functionalanalysisThe concepts are defined and many proofs of the requisite results are reproduced here, making the present book essent ially self-contained. Bulletin of the AMS Because of the wide scope, the book is an ideal reference forpeople encountering problems related to viability theory in their researchIt gives a very thorough mathematical presentation. Very useful for anybody co nfronted with viability constraints. Mededelingen van het WiskundigGenootschap |
Note: | Springer eBooks |
Contents: | Introduction |
Outline of the Book | |
1 Viability Theorems for Ordinary and Stochastic Differential Equations | |
2 Set | |
Valued Maps | |
3 Viability Theorems for Differential Inclusions | |
4 Viability Kernels and Exit Tubes | |
5 Invariance Theorems for Differential Inclusions | |
6 Regulation of Control Systems | |
7 Smooth and Heavy Viable Solutions | |
8 Partial Differential Inclusions of Tracking Problems | |
9 Lyapunov Functions | |
10 Miscellaneous Viability Issues | |
11 Viability Tubes | |
12 Functional Viability | |
13 Viability Theorems for Partial Differential Inclusions | |
14 Differential Gam | |
ISBN: | 9780817649104 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modern Birkhuser Classics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Artificial intelligence , Biology Mathematics , Systems theory , Control engineering systems |
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Call number: | SPRINGER-2009-9780387709840:ONLINE Show nearby items on shelf |
Title: | Mathematical Biology [electronic resource] : An Introduction with Maple and Matlab |
Author(s): |
Ronald W Shonkwiler James Herod |
Date: | 2009 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. It updates an earlier successful edition and greatly expands the concept of the computerbiology laboratory, giving students a general perspective of the field before proceeding to more specialized topics. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field ofgenomics. It includes new chapters on parasites, ca ncer, and phylogenetics, along with an introduction to online resources for DNA, protein lookups, and popular pattern matching tools such as BLAST. In addition, the emerging field ofalgebraic statistics is introduced and its power illustrated in the conte xt of phylogenetics. A unique feature of the book is the integration of a computer algebra system into the flow of ideas in a supporting but unobtrusive role.Syntax for both the Maple and Matlab systems is provided in a tandem format. The use of a compute r algebra system gives the students the opportunity to examine what if scenarios, allowing them to investigate biological systems in away never before possible. For students without access to Maple or Matlab, each topic presented is complete. Graphic visu alizations are provided for all mathematical results. Mathematical Biology includes extensive exercises, problemsand examples. A year of calculus with linear algebra is required to understand the material presented. The biology presented proceeds from the study of populations down to the molecular level no previous coursework in biology isnecessary. The book is appropriate for undergraduate and graduate students studying mathematics or biology and for scientists and researchers who wish to study the appli cations of mathematics and computers in the natural sciences |
Note: | Springer eBooks |
Contents: | Biology, Mathematics and a Mathematical Biology Laboratory |
Some Mathematical Tools | |
Reproduction of the Drive for Survival | |
Interactions Between Organisms and Their Environment | |
Age | |
Dependent Population Structures | |
Random Movements in Space and Time | |
The Biological Disposition of Drugs and Inorganic Toxins | |
Neurophysiology | |
The Biochemistry of Cells | |
The Biological Disposition of Drugs and Inorganic Toxins | |
A Biomathematical Approach to HIV and AIDS | |
Parasites and Their Diseases | |
Genetics | |
Genomics | |
Phylogenetics | |
ISBN: | 9780387709840 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Texts in Mathematics, 0172-6056 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Biology Data processing , Biology Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9783540789116:ONLINE Show nearby items on shelf |
Title: | Mathematical Epidemiology [electronic resource] |
Author(s): |
Fred Brauer Pauline Driessche Jianhong Wu |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectiousdiseases, for the compa rison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus,and childhood diseases. Models for other dise ases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units.In order to accustom students to look at the current literature a nd to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus,matrix algebra, differential equations, and probability) have been prepared and may be d ownloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca ) |
Note: | Springer eBooks |
Contents: | and General Framework |
A Light Introduction to Modelling Recurrent Epidemics | |
Compartmental Models in Epidemiology | |
An Introduction to Stochastic Epidemic Models | |
Advanced Modeling and Heterogeneities | |
An Introduction to Networks in Epidemic Modeling | |
Deterministic Compartmental Models: Extensions of Basic Models | |
Further Notes on the Basic Reproduction Number | |
Spatial Structure: Patch Models | |
Spatial Structure: Partial Differential Equations Models | |
Continuous | |
Time Age | |
Structured Models in Population Dynamics and Epidemiology | |
Distribution Theory, Stochastic Processes an | |
ISBN: | 9783540789116 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1945 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Epidemiology , Differentiable dynamical systems , Differential Equations , Genetics Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9783540747987:ONLINE Show nearby items on shelf |
Title: | Probability and Real Trees [electronic resource] : cole d't de Probabilits de Saint-Flour XXXV - 2005 |
Author(s): |
Steven Neil Evans |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Random trees and tree-valued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract tree-like metric spaces(so-called real trees) and ideas from metric geometry such as the Gromov-Hausdorff distance, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behaviour of such objects when the number ofvertices goes to infinity. These notes survey the rele vant mathematical background and present some selected applications of the theory |
Note: | Springer eBooks |
Contents: | Preface |
1. Introduction | |
2. Around the continuum random tree | |
3. R | |
trees and 0 | |
hyperbolic spaces | |
4. Hausdorff and GromovHausdorff distance | |
5. Root growth with re | |
grafting | |
6. The wild chain and other bipartite chains | |
7. Diffusions on a R | |
tree without leaves: snakes and spiders | |
8. Rtrees from coalescing particle systems | |
9. Subtree prune and re | |
graft | |
A. Summary of Dirichlet form theory | |
B. Some fractal notions | |
References | |
Index | |
ISBN: | 9783540747987 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1920 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Geometry , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9783540743316:ONLINE Show nearby items on shelf |
Title: | Tutorials in Mathematical Biosciences IV [electronic resource] : Evolution and Ecology |
Author(s): |
Avner Friedman |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies ofphylogenetic trees computation al schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predator-preymodels. This chapter includes and introduction to reactio n-diffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution ofdispersal models it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level ofgrad students and researchers. A background in PDEs is provided |
Note: | Springer eBooks |
Contents: | Inference of Phylogenetic Trees |
Large | |
Scale Phylogenetic Analysis of Emerging Infectious Diseases | |
ReactionDiffusion Equations and Ecological Modeling | |
The Dynamics of MigrationSelection Models | |
Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics | |
ISBN: | 9783540743316 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1922 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Mathematics , Physiology Mathematics |
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Call number: | SPRINGER-2008-9783540742845:ONLINE Show nearby items on shelf |
Title: | Evolution Algebras and their Applications [electronic resource] |
Author(s): |
Jianjun Paul Tian |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolutionalgebras are non-associative Banach algebras dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes,dynamical systems, knot theory, 3-manifolds, and th e study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, withpointers to some further research topics |
Note: | Springer eBooks |
Contents: | Motivations |
Evolution Algebras | |
Evolution Algebras and Markov Chains | |
Evolution Algebras and Non | |
Mendelian Genetics | |
Further Results and Research Topics | |
ISBN: | 9783540742845 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1921 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Biology Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9783540693932:ONLINE Show nearby items on shelf |
Title: | Information Geometry [electronic resource] : Near Randomness and Near Independence |
Author(s): |
Khadiga A Arwini Christopher T. J Dodson |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state ofindependence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptologystudies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematicalstatistics, differential geometry and the information geometry of spaces of proba bility density functions |
Note: | Springer eBooks |
Contents: | 1. Mathematical Statistics and Information Theory |
2. Introduction to Riemannian Geometry | |
3. Information Geometry | |
4. Information Geometry of Bivariate Families | |
5. Neighbourhoods of Poisson Randomness, Independence and Uniformity | |
6. Cosmological Voids and Galactic Clustering | |
7. Amino Acid Clustering | |
8. Cryptographic Attacks and Signal Clustering | |
9. Stochastic Fibre Networks. 10. Stochastic Porous Media and Hydrology | |
11. Quantum Chaology | |
ISBN: | 9783540693932 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1953 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Global differential geometry , Distribution (Probability theory) , Materials |
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Call number: | SPRINGER-2008-9782287339110:ONLINE Show nearby items on shelf |
Title: | Gntique statistique [electronic resource] |
Author(s): |
Stephan Morgenthaler |
Date: | 2008 |
Publisher: | Paris : Springer Paris |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Cet ouvrage expose les principaux outils statistiques utiles la gntique : tests de signification, mthodes danalyse fondes sur la fonction de vraisemblance, algorithme EM, modlisations, analyse de la variance,classifications hirarchiques, comparaison s multiples, etc. Tous permettent dclairer nombre de phnomnes biologiques comme la carcinogense, la gntique des populations, lquilibre de Hardy-Weinberg, la slectionnaturelle, les mutations, lhrdit, les processus de coalescence, ou encore lvolution. Ce li vre sadresse autant aux mathmaticiens quaux biologistes. Rdig avec un grand souci de clart, il est galementaccessible aux non-spcialistes qui pourront, grce lui, renforcer leur base thorique et surtout dvelopper leur savoir-faire par des applications trs concrtes |
Note: | Springer eBooks |
ISBN: | 9782287339110 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistique et probabilits appliques |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Oncology , Epidemiology , Genetics Mathematics , Biology Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9781402066689:ONLINE Show nearby items on shelf |
Title: | Foundations of Generic Optimization [electronic resource] : Volume 2: Applications of Fuzzy Control, Genetic Algorithms and Neural Networks |
Author(s): |
Robert Lowen Alain Verschoren |
Date: | 2008 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is a comprehensive overview of the basics of fuzzy control, which also brings together some recent research results in soft computing, in particular fuzzy logic using genetic algorithms and neural networks. This book offersresearchers not only a solid background but also a snapshot of the current state of the art in this field |
Note: | Springer eBooks |
ISBN: | 9781402066689 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematical Modelling: Theory and Applications, 1386-2960 : v24 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computational complexity , Genetics Mathematics , Combinatorics , Mathematical optimization |
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Call number: | SPRINGER-2008-9780817647131:ONLINE Show nearby items on shelf |
Title: | Selected Topics in Cancer Modeling [electronic resource] : Genesis, Evolution, Immune Competition, and Therapy |
Author(s): |
Elena Angelis Mark A. J Chaplain Nicola Bellomo |
Date: | 2008 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A major challenge in the modeling and simulation of tumor growth is the mathematical description of living matter, which is far more complex than a mathematical description of inert matter. One critical piece of this challenge iscreating multiscale m odels that take into account subcellular, cellular, and macroscopic levels of cancer. The complexity of these different levels requires the development of new mathematical methods and ideas, which are examined inthis work. Written by first-rate researcher s in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzingcancer phenomena. Topics covered include: * Genetic and epigenetic pa thways to colon cancer * A game theoretical perspective on the somatic evolution of cancer * Nonlinear modeling and simulation of tumor growth * Tumor cords and theirresponse to anticancer agents * Modeling diffusely invading brain tumors * Multiphase mod els of tumor growth * Mathematical modeling of breast carcinogenesis * Predictive models in tumor immunology * Multiscale modeling of solid tumorgrowth Selected Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and gradua te students in applied mathematics, mathematical biology, and related fields. The book has an overall aim of quantitative,predictive mathematical modeling of solid tumor growth at all scales, from genetics all the way through to treatment therapy for pati ents |
Note: | Springer eBooks |
Contents: | Preface |
List of Contributors | |
Genetic and Epigenetic Pathways to Colon Cancer: Relating Experimental Evidence with Modeling | |
From Kinetic Theory for Active Particles to Modelling Immune Competition | |
Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue | |
Nonlinear Renewal Equations | |
A Game Theoretical Perspective on the Somatic Evolution of Cancer | |
Nonlinear Modeling and Simulation of Tumor Growth | |
Tumour Cords and Their Response to Anticancer Agents | |
Modeling Diffusely Invading Brain Tumors: An Individualized Approach to Quantifying Glioma Evolution and Respon | |
ISBN: | 9780817647131 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Oncology , Biology Mathematics , Physiology Mathematics |
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Call number: | SPRINGER-2008-9780387781693:ONLINE Show nearby items on shelf |
Title: | Probability Models for DNA Sequence Evolution [electronic resource] |
Author(s): |
Richard Durrett |
Date: | 2008 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | How is genetic variability shaped by natural selection, demographic factors, and random genetic drift? To approach this question, we introduce and analyze a number of probability models beginning with the basics, and ending at thefrontiers of current research. Throughout the book, the theory is developed in close connection with examples from the biology literature that illustrate the use of these results. Along the way, there are many numerical examples andgraphs to illustrate the conclusions. This is the second edition and is twice the size of the first one. The material on recombination and the stepping stone model have been greatly expanded, there are many results form the last fiveyears, and two new chapters on diffusion processes develop that v iewpoint. This book is written for mathematicians and for biologists alike. No previous knowledge of concepts from biology is assumed, and only a basic knowledge ofprobability, including some familiarity with Markov chains and Poisson processes. The book has been restructured into a large number of subsections and written in a theorem-proof style, to more clearly highlight the main results andallow readers to find the results they need and to skip the proofs if they desire. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming toCornell in 1985. He is the author of eight books and 160 research papers, most of which concern the use of probability models in genetic s and ecology. He is the academic father of 39 Ph.D. students and was recently elected to theNational Academy of Sciences |
Note: | Springer eBooks |
Contents: | Basic Models |
Estimation and Hypothesis Testing | |
Recombination | |
Population Complications | |
Stepping Stone Model | |
Natural Selection | |
Diffusion Processes | |
Multidimensional Diffusions | |
Genome Rearrangement | |
ISBN: | 9780387781693 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Probability and its Applications, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Evolution (Biology) , Genetics Mathematics , Biology Mathematics , Distribution (Probability theory) , Statistics |
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Call number: | SPRINGER-2007-9788847006928:ONLINE Show nearby items on shelf |
Title: | Modelli Matematici in Biologia [electronic resource] |
Author(s): |
Giuseppe Gaeta |
Date: | 2007 |
Publisher: | Milano : Springer Milan |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Questo testo si indirizza prima di tutto agli studenti delle Lauree Specialistiche in Biologia delle Universit, ma sar di interesse anche per studenti di Scienze Naturali e Medicina. Gli argomenti trattati includono i piu'classici modelli matematici di fenomeni biologici (dinamica delle popolazioni, diffusione delle malattie infettive, semplici modelli di fisiologia), ma una parte rilevante del testo e' dedicata all'approccio matematico alla teoriadell'evoluzione natuturale. Gli unici prerequisiti ri chiesti al lettore sono quelli forniti dai corsi di base di Matematica della Laurea triennale in Biologia, Scienze Naturali o Medicina gli altri strumenti matematici sono discussinel testo o nei complementi matematici che ne formano parte integrante. Sebb ene i modelli qui discussi siano essenzialmente in termini di (semplici) equazioni differenziali e dunque deterministici, tesi a descrivere l'evoluzione diquantita' medie, si e' a piu' riprese cercato di mostrare il ruolo delle fluttuazioni nei fenomeni b iologici e come esso possa essere tenuto in conto in modo matematicamente semplice |
Note: | Springer eBooks |
Contents: | Introduzione. Un modello semplicissimo per lAIDS e sua utilit |
Introduzione. Un modello semplicissimo per lAIDS e sua utilit | |
Parte I | |
Il modello logistico (discreto) | |
Il modello ed i numeri di Fibonacci | |
Il modello logistico (continuo) | |
Altre applicazioni della crescita esponenziale | |
Altre applicazioni semplici del modello logistico | |
Modelli con ritardo | |
Popolazioni interagenti | |
Movimento: coordinazione dei neuroni | |
Diffusione | |
Parte II | |
Malattie infettive: il modello SIR | |
Malattie infettive senza immunit permanente | |
Fluttuazioni nei modelli epidemiol | |
ISBN: | 9788847006928 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Biology Mathematics , Physiology Mathematics , Biomedical engineering |
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Call number: | SPRINGER-2007-9783540344285:ONLINE Show nearby items on shelf |
Title: | Mathematics for Ecology and Environmental Sciences [electronic resource] |
Author(s): |
Yasuhiro Takeuchi Yoh Iwasa Kazunori Sato |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to discuss the many rich and interesting properties of dynamical systems that appear inecology and environmen tal sciences. The main topics include population dynamics with dispersal, nonlinear discrete population dynamics, structured population models, mathematical models in evolutionary ecology, stochastic spatialmodels in ecology, game dynamics and the chemost at model. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present important new results, and to inspire future contributions tomathematical modeling in ecology and environmental sciences |
Note: | Springer eBooks |
Contents: | Ecology as a Modern Science |
Physiologically Structured Population Models: Towards a General Mathematical Theory | |
A Survey of Indirect Reciprocity | |
The Effects of Migration on Persistence and Extinction | |
Sexual Reproduction Process on One | |
Dimensional Stochastic Lattice Model | |
A Mathematical Model of Gene Transfer in a Biofilm | |
Nonlinearity and Stochasticity in Population Dynamics | |
The Adaptive Dynamics of Community Structure | |
ISBN: | 9783540344285 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Biological and Medical Physics, Biomedical Engineering, 1618-7210 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Ecology , Genetics Mathematics , Biology Mathematics , Biomedical engineering , Engineering , Environmental sciences |
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Call number: | SPRINGER-2007-9780387681542:ONLINE Show nearby items on shelf |
Title: | Statistical Genetics of Quantitative Traits [electronic resource] : Linkage, Maps, and QTL |
Author(s): |
Rongling Wu George Casella Chang-Xing Ma |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book introduces the basic concepts and methods that are useful in the statistical analysis and modeling of DNA-based marker and phenotypic data that arise in agriculture, forrestry, experimental biology, and other fields. Itconcentrates on the li nkage analysis of markers, map construction and quantitative trait locus (QTL) mapping and assumes a background in regression analysis and maximum likelihood approaches. The strengths of this book lie in theconstruction of general models and algorithms fo r linkage analysis and QTL mapping in any kind of crossed pedigrees initiated with inbred lines of crops and plant and animal model systems or outbred lines in forest trees and wildlifespecies. The book includes a detailed description of each approach and the step-by-step demonstration of live-example analyses designed to explain the utilization and usefulness of statistical methods. The book also includes exercisesets and computer codes for all the analyses used. This book can serve as a textbook for gra duates and senior undergraduates in genetics, agronomy, forest biology, plant breeding and animal sciences. It will also be useful toresearchers and other professionals in the areas of statistics, biology and agriculture. Rongling Wu is Associate Professo r of Statistics at the University of Florida, Gainesville. He currently serves as Associate Editor for sixgenetics and bioinformatics journals. Chang-Xing Ma is Assistant Professor of Biostatistics at the State University of New York at Buffalo. George Ca sella is Distinguished Professor of Statistics and Distinguished Member of theGenetics Institute at the Univesity of Florida, Gainesville. He is a fellow of the American Statistical Association and the Institute of Mathematical Sciences, and the author of four other statistics books |
Note: | Springer eBooks |
Contents: | Basic Genetics |
Basic Statistics | |
Linkage Analysis and Map Construction | |
A General Model for Linkage Analysis in Controlled Crosses | |
Linkage Analysis with Recombinant Inbred Lines | |
Linkage Analysis for Distorted and Misclassified Markers | |
Special Considerations in Linkage Analysis | |
The Structure of QTL Mapping | |
Marker Analysis of Phenotypes | |
Regression | |
Based Interval Mapping | |
Maximum Likelihood Interval Mapping | |
Threshold and Precision Analysis | |
Composite QTL Mapping | |
QTL Mapping in Outbred Pedigrees | |
ISBN: | 9780387681542 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics for Biology and Health, 1431-8776 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Life sciences , Biometrics , Bioinformatics , Plant breeding , Animal genetics , Genetics Mathematics , Statistics |
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Call number: | SPRINGER-2007-9780387479460:ONLINE Show nearby items on shelf |
Title: | Linear and Generalized Linear Mixed Models and Their Applications [electronic resource] |
Author(s): |
Jiming Jiang |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book covers two major classes of mixed effects models, linear mixed models and generalized linear mixed models, and it presents an up-to-date account of theory and methods in analysis of these models as well as theirapplications in various field s. The book offers a systematic approach to inference about non-Gaussian linear mixed models. Furthermore, it has included recently developed methods, such as mixed model diagnostics, mixed model selection,and jackknife method in the context of mixed mode ls. The book is aimed at students, researchers and other practitioners who are interested in using mixed models for statistical data analysis. The book is suitable for a course in a M.S.program in statistics, provided that the section of further results a nd technical notes in each of the first four chapters is skipped. If these four sections are included, the book may be used for a course in a Ph. D. program instatistics. A first course in mathematical statistics, the ability to use computers for data ana lysis, and familiarity with calculus and linear algebra are prerequisites. Additional statistical courses such as regression analysis and agood knowledge about matrices would be helpful. Jiming Jiang is Professor of Statistics and Director of the Statisti cal Laboratory at UC-Davis. He is a prominent researcher in the fields of mixed effects models and small areaestimation, and co-receiver of the Chinese National Natural Science Award and American Statistical Association's Outstanding Statistical Applicati on Award |
Note: | Springer eBooks |
Contents: | Linear mixed models: Part I |
Linear mixed models: Part II | |
Generalized linear mixed models: Part I | |
Generalized linear mixed models: Part II | |
ISBN: | 9780387479460 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Statistics, 0172-7397 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Genetics Mathematics , Numerical analysis , Mathematical statistics |
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Call number: | SPRINGER-2007-9780387352152:ONLINE Show nearby items on shelf |
Title: | Phase Portraits of Planar Quadratic Systems [electronic resource] |
Author(s): |
John Reyn |
Date: | 2007 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Although some examples of phase portraits of quadratic systems can already be found in the work of Poincar, the first paper dealing exclusively with these systems was published by Bchel in 1904. By the end of the 20th centuryan increasing flow of pub lications resulted in nearly a thousand papers on the subject. This book attempts to give a presentation of the advance of our knowledge of phase portraits of quadratic systems, paying special attention to thehistorical development of the subject. The boo k organizes the portraits into classes, using the notions of finite and infinite multiplicity and finite and infinite index. Classifications of phase portraits for various classes are givenusing the well-known methods of phase plane analysis. Audience Thi s book is intended for mathematics graduate students and researchers studying quadratic systems |
Note: | Springer eBooks |
Contents: | Critical points in quadratic systems |
Isoclines, critical points and classes of quadratic systems | |
Analyzing phase portraits of quadratic systems | |
Phase portraits of quadratic systems in the class mf=0 | |
Quadratic systems with center points | |
Limit cycles in quadratic systems | |
Phase portraits of quadratic systems in the class mf=1 | |
Phase portraits of quadratic systems in the class mf=2 | |
Phase portraits of quadratic systems in the class mf=3 | |
Phase portraits of quadratic systems in the class mf=4 | |
ISBN: | 9780387352152 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Its Applications : v583 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Genetics Mathematics |
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Call number: | SPRINGER-2006-9783540332848:ONLINE Show nearby items on shelf |
Title: | Modles alatoires [electronic resource] : Applications aux sciences de l'ingnieur et du vivant |
Author(s): |
Jean-Franois Delmas Benjamin Jourdain |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Ce tome prsente des modles alatoires lmentaires (chanes de Markov temps discret et continu, lois de valeurs extrmes) et certaines de leurs applications courantes : algorithmes d'optimisation, gestion desapprovisionnements, dimensionnement de files d 'attente, fiabilit et dimensionnement d'ouvrages. Des problmatiques plus rcentes sont galement abordes: recherche de squences exceptionnelles et de zones homognes de l'ADN,estimation du taux de mutation de l'ADN, phnomnes de coagulation de molcules de pol ymres ou d'arosols. Ce tome s'adresse un public trs large d'tudiants et d'enseignants. Le prrequis pour sa lecture est la matrisedu contenu d'un cours d'initiation aux probabilits |
Note: | Springer eBooks |
Contents: | Modlesdiscrets |
Chanes de Markov temps discret | |
Recuit simul | |
Gestion des approvisionnements | |
Le processus de Galton | |
Watson | |
Recherche de zones homognes dans l'ADN | |
Squences exceptionnelles dans l'ADN | |
Estimation du taux de mutation de l'ADN | |
Modles continus | |
Chanes de Markov temps continu | |
Files d'attente | |
lments de fiabilit | |
Lois de valeurs extrmes | |
Processus de coagulation et fragmentation | |
Appendice | |
Rappels de probabilits | |
Une variante du thorme central limite | |
Fonction de rpartition et quantile | |
Convergence en varia | |
ISBN: | 9783540332848 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathmatiques & applications, 1154-483X : v57 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Mathematical optimization , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2006-9780817645038:ONLINE Show nearby items on shelf |
Title: | Mathematical Modeling of Complex Biological Systems [electronic resource] : A Kinetic Theory Approach |
Author(s): |
Abdelghani Bellouquid Marcello Delitala |
Date: | 2006 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systemscomprised of large populations of interactingcellswhose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. The authors propose a new biological model for the analysis of competition between cellsof an aggressive host and cells of a correspondin g immune system. Because the microscopic description of a biological system is far more complex than that of a physical system of inert matter, a higher level of analysis is needed todeal with such complexity. Mathematical models using kinetic theory may represent a way to deal with such complexity, allowing for an understanding of phenomena of nonequilibrium statistical mechanics not described by the traditionalmacroscopic approach. The proposed models are related to the generalized Boltzmann equation an d describe the population dynamics of several interacting elements (kinetic population models). The particular models proposed by the authorsare based on a framework related to a system of integro-differential equations, defining the evolution of the dist ribution function over the microscopic state of each element in a given system. Macroscopic information on the behaviorof the system is obtained from suitable moments of the distribution function over the microscopic states of the elements involved. The b ook follows a classical research approach applied to modeling real systems, linking the observationof biological phenomena, collection of experimental data, modeling, and computational simulations to validate the proposed models. Qualitative analysis tech niques are used to identify the prediction ability of specific models. The bookwill be a valuable resource for applied mathematicians as well as researchers in the field of biological sciences. It |
Note: | Springer eBooks |
Contents: | Preface |
On the Modelling of Complex Biological Systems | |
Mathematical Frameworks of the Generalized Kinetic (Boltzmann) Theory | |
Modelling the Immune Competition and Applications | |
On the Cauchy Problem | |
Simulations, Biological Interpretations, and Further Modelling Perspectives | |
Models with Space Structure and Derivation of Macroscopic Equations | |
Critical Analysis and Forward Perspectives | |
Appendix. Basic Tools of Mathematical Kinetic Theory | |
Glossary | |
References | |
Index | |
ISBN: | 9780817645038 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Genetics Mathematics , Biology Mathematics , Physiology Mathematics , Biomedical engineering |
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Call number: | SPRINGER-2005-9780387277332:ONLINE Show nearby items on shelf |
Title: | Statistical Methods in Molecular Evolution [electronic resource] |
Author(s): |
Rasmus Nielsen |
Date: | 2005 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In the field of molecular evolution, inferences about past evolutionary events are made using molecular data from currently living species. With the availability of genomic data from multiple related species, molecular evolutionhas become one of the most active and fastest growing fields of study in genomics and bioinformatics. Most studies in molecular evolution rely heavily on statistical procedures based on stochastic process modelling and advancedcomputational methods including high-dimensional n umerical optimization and Markov Chain Monte Carlo. This book provides an overview of the statistical theory and methods used in studies of molecular evolution. It includes anintroductory section suitable for readers that are new to the field, a section d iscussing practical methods for data analysis, and more specialized sections discussing specific models and addressing statistical issues relating toestimation and model choice. The chapters are written by the leaders in the field and they will take the r eader from basic introductory material to the state-of the-art statistical methods. This book is suitable for statisticiansseeking to learn more about applications in molecular evolution and molecular evolutionary biologists with an interest in learning m ore about the theory behind the statistical methods applied in the field. The chapters of the bookassume no advanced mathematical skills beyond basic calculus, although familiarity with basic probability theory will help the reader. Most relevant statisti cal concepts are introduced in the book in the context of their application inmolecular evolution, and the book should be accessible for most biology graduate students with an interest in quantitative methods and theory. Rasmus Nielsen received his Ph.D. form the University of California at Berkeley in 1998 andafter a postdoc at Harvard University, he assumed a faculty position in Statistical Genomics at Cornell University. He is currently an Ole Rmer |
Note: | Springer eBooks |
Contents: | Markov Models in Molecular Evolution |
to Applications of the Likelihood Function in Molecular Evolution | |
to Markov Chain Monte Carlo Methods in Molecular Evolution | |
Population Genetics of Molecular Evolution | |
Practical Approaches for Data Analysis | |
Maximum Likelihood Methods for Detecting Adaptive Protein Evolution | |
HyPhy: Hypothesis Testing Using Phylogenies | |
Bayesian Analysis of Molecular Evolution Using MrBayes | |
Estimation of Divergence Times from Molecular Sequence Data | |
Models of Molecular Evolution | |
Markov Models of Protein Sequence Evolution | |
Models of Microsatelli | |
ISBN: | 9780387277332 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics for Biology and Health, 1431-8776 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Bioinformatics , Evolution (Biology) , Plant breeding , Genetics Mathematics , Biology Mathematics |
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Call number: | SPRINGER-2005-9780387245553:ONLINE Show nearby items on shelf |
Title: | Statistical Modeling and Analysis for Complex Data Problems [electronic resource] |
Author(s): |
Pierre Duchesne Bruno RMillard |
Date: | 2005 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | STATISTICAL MODELING AND ANALYSIS FOR COMPLEX DATA PROBLEMS treats some of todays more complex problems and it reflects some of the important research directions in the field. Twenty-nine authorslargely from MontrealsGERAD Multi-University Research C enter and who work in areas of theoretical statistics, applied statistics, probability theory, and stochastic processespresent survey chapters on various theoretical and applied problems ofimportance and interest to researchers and students across a numbe r of academic domains. Some of the areas and topics examined in the volume are: an analysis of complex survey data, the 2000 American presidential election in Florida,data mining, estimation of uncertainty for machine learning algorithms, interacting stoc hastic processes, dependent data & copulas, Bayesian analysis of hazard rates, re-sampling methods in a periodic replacement problem, statisticaltesting in genetics and for dependent data, statistical analysis of time series analysis, theoretical and appl ied stochastic processes, and an efficient non linear filtering algorithm for the position detection of multiple targets. Thebook examines the methods and problems from a modeling perspective and surveys the state of current research on each topic and pro vides direction for further research exploration of the area |
Note: | Springer eBooks |
Contents: | Foreword |
Contributing Authors | |
Preface | |
Dependence Properties of Meta | |
Elliptical Distributions | |
The Statistical Significance of Palm Beach County | |
Bayesian Functional Estimation of Hazard Rates for Randomly Right Censored Data Using Fourier Series Methods | |
Conditions for the Validity of F | |
Ratio Tests for Treatment and Carryover Effects in Crossover Designs | |
Bias in Estimating the Variance of K | |
Fold Cross Validation | |
Effective Construction of Modified Histograms in Higher Dimensions | |
On Robust Diagnostics at Individual Lags Using RA | |
ARX Estimators | |
Bootstrap Confidence Inte | |
ISBN: | 9780387245553 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Distribution (Probability theory) , Mathematical statistics , Statistics |
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Call number: | SPRINGER-2004-9783540398745:ONLINE Show nearby items on shelf |
Title: | Lectures on Probability Theory and Statistics Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001 |
Author(s): |
Simon Tavaré |
Date: | 2004 |
Size: | 1 online resource (316 p.) |
Note: | 10.1007/b95197 |
ISBN: | 9783540398745 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics, Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001: 1837 |
Keywords: | Mathematics , Probabilities , Biomathematics , Mathematics , Probability Theory and Stochastic Processes , Genetics and Population Dynamics |
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Call number: | SPRINGER-2004-9783034879644:ONLINE Show nearby items on shelf |
Title: | Travelling Waves in Nonlinear Diffusion-Convection Reaction |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (210 p.) |
Note: | 10.1007/978-3-0348-7964-4 |
Contents: | 1 Introduction -- 2 General theory -- 2.1 Basic hypotheses -- 2.2 Integral equation theory -- 2.3 Proof of equivalence -- 2.4 Illustration of difficulties -- 2.5 Further properties -- 2.6 Classical results -- Bibliographical notes -- |
3 Transformations -- Bibliographical notes -- 4 Travelling waves -- 4.1 Admissible wave speeds -- 4.2 Number of solutions -- Bibliographical notes -- 5 Convection-diffusion -- Bibliographical notes -- 6 Reaction-diffusion -- 6.1 Sink | |
term -- 6.2 Source term -- 6.3 Smooth coefficients -- Bibliographical notes -- 7 Power-law equations -- Bibliographical notes -- 8 Wavefronts -- 8.1 Admissible wave speeds -- 8.2 Number of wavefronts -- 8.3 Illustrations -- 8.4 | |
Multiple equilibria -- Bibliographical notes -- 9 Wavefronts for convection-diffusion -- Bibliographical notes -- 10 Wavefronts for reaction-diffusion -- 10.1 Fixed sign -- 10.2 One sign change -- 10.3 Smooth coefficients -- | |
Bibliographical notes -- 11 Unbounded waves -- 12 Wavefronts and unbounded waves for power-law equations -- 12.1 Convection-diffusion -- 12.2 Reaction-diffusion with linear convection -- 12.3 Reaction-convection-diffusion -- | |
Bibliographical notes -- 13 Explicit travelling-wave solutions -- 13.1 Power-law equations -- 13.2 Generalizations of the Fisher equation -- 13.3 Generating further explicit solutions -- Bibliographical notes | |
ISBN: | 9783034879644 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 60 |
Keywords: | Mathematics , Partial differential equations , Biomathematics , Mathematics , Partial Differential Equations , Genetics and Population Dynamics , Physiological, Cellular and Medical Topics |
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Call number: | SPRINGER-2004-9780387218229:ONLINE Show nearby items on shelf |
Title: | Mathematical Population Genetics I. Theoretical Introduction |
Author(s): |
Warren J Ewens |
Date: | 2004 |
Edition: | Second Edition |
Size: | 1 online resource (418 p.) |
Note: | 10.1007/978-0-387-21822-9 |
Contents: | 1 Historical Background -- 1.1 Biometricians, Saltationists and Mendelians -- 1.2 The Hardy-Weinberg Law -- 1.3 The Correlation Between Relatives -- 1.4 Evolution -- 1.5 Evolved Genetic Phenomena -- 1.6 Modelling -- 1.7 Overall |
Evolutionary Theories -- 2 Technicalities and Generalizations -- 2.1 Introduction -- 2.2 Random Union of Gametes -- 2.3 Dioecious Populations -- 2.4 Multiple Alleles -- 2.5 Frequency-Dependent Selection -- 2.6 Fertility Selection -- | |
2.7 Continuous-Time Models -- 2.8 Non-Random-Mating Populations -- 2.9 The Fundamental Theorem of Natural Selection -- 2.10 Two Loci -- 2.11 Genetic Loads -- 2.12 Finite Markov Chains -- 3 Discrete Stochastic Models -- 3.1 Introduction | |
-- 3.2 Wright-Fisher Model: Two Alleles -- 3.3 The Cannings (Exchangeable) Model: Two Alleles -- 3.4 Moran Models: Two Alleles -- 3.5 K-Allele Wright-Fisher Models -- 3.6 Infinitely Many Alleles Models -- 3.7 The Effective Population | |
Size -- 3.8 Frequency-Dependent Selection -- 3.9 Two Loci -- 4 Diffusion Theory -- 4.1 Introduction -- 4.2 The Forward and Backward Kolmogorov Equations -- 4.3 Fixation Probabilities -- 4.4 Absorption Time Properties -- 4.5 The | |
Stationary Distribution -- 4.6 Conditional Processes -- 4.7 Diffusion Theory -- 4.8 Multi-dimensional Processes -- 4.9 Time Reversibility -- 4.10 Expectations of Functions of Diffusion Variables -- 5 Applications of Diffusion Theory -- | |
5.1 Introduction -- 5.2 No Selection or Mutation -- 5.3 Selection -- 5.4 Selection: Absorption Time Properties -- 5.5 One-Way Mutation -- 5.6 Two-Way Mutation -- 5.7 Diffusion Approximations and Boundary Conditions -- 5.8 Random | |
Environments -- 5.9 Time-Reversal and Age Properties -- 5.10 Multi-Allele Diffusion Processes -- 6 Two Loci -- 6.1 Introduction -- 6.2 Evolutionary Properties of Mean Fitness -- 6.3 Equilibrium Points -- 6.4 Special Models -- 6.5 | |
Modifier Theory -- 6.6 Two-Locus Diffusion Processes -- 6.7 Associative Overdominance and Hitchhiking -- 6.8 The Evolutionary Advantage of Recombination -- 6.9 Summary -- 7 Many Loci -- 7.1 Introduction -- 7.2 Notation -- 7.3 The | |
Random Mating Case -- 7.4 Non-Random Mating -- 7.5 The Correlation Between Relatives -- 7.6 Summary -- 8 Further Considerations -- 8.1 Introduction -- 8.2 What is Fitness? -- 8.3 Sex Ratio -- 8.4 Geographical Structure -- 8.5 Age | |
Structure -- 8.6 Ecological Considerations -- 8.7 Sociobiology -- 9 Molecular Population Genetics: Introduction -- 9.1 Introduction -- 9.2 Technical Comments -- 9.3 Infinitely Many Alleles Models: Population Properties. -- 9.4 | |
Infinitely Many Sites Models: Population Properties -- 9.5 Sample Properties of Infinitely Many Alleles Models. -- 9.6 Sample Properties of Infinitely Many Sites Models -- 9.7 Relation Between Infinitely Many Alleles and Infinitely | |
Many Sites Models -- 9.8 Genetic Variation Within and Between Populations -- 9.9 Age-Ordered Alleles: Frequencies and Ages -- 10 Looking Backward in Time: The Coalescent -- 10.1 Introduction -- 10.2 Competing Poisson and Geometric | |
Processes -- 10.3 The Coalescent Process -- 10.4 The Coalescent and Its Relation to Evolutionary Genetic Models -- 10.5 Coalescent Calculations: Wright-Fisher Models -- 10.6 Coalescent Calculations: Exact Moran Model Results -- 10.7 | |
General Comments -- 10.8 The Coalescent and Human Genetics -- 11 Looking Backward: Testing the Neutral Theory -- 11.1 Introduction -- 11.2 Testing in the Infinitely Many Alleles Models -- 11.3 Testing in the Infinitely Many Sites | |
Models -- 12 Looking Backward in Time: Population and Species Comparisons -- 12.1 Introduction -- 12.2 Various Evolutionary Models -- 12.3 Some Implications -- 12.4 Statistical Procedures -- Appendix A: Eigenvalue Calculations -- | |
References -- Author Index | |
ISBN: | 9780387218229 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 27 |
Keywords: | Life sciences , Biochemistry , Evolutionary biology , Applied mathematics , Engineering mathematics , Biomathematics , Life Sciences , Biochemistry, general , Applications of Mathematics , Evolutionary Biology , Genetics and Population Dynamics , Mathematical and Computational Biology |
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Call number: | SPRINGER-2003-9789401715065:ONLINE Show nearby items on shelf |
Title: | Evolution of Biological Systems in Random Media: Limit Theorems and Stability |
Author(s): |
Anatoly Swishchuk |
Date: | 2003 |
Size: | 1 online resource (218 p.) |
Note: | 10.1007/978-94-017-1506-5 |
Contents: | 1 Random Media -- 2 Limit Theorems for Difference Equations in Random Media -- 3 Epidemic Models -- 4 Genetic Selection Models -- 5 Branching Models -- 6 Demographic Models -- 7 Logistic Growth Models -- 8 Predator-Prey Models |
ISBN: | 9789401715065 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematical Modelling: Theory and Applications: 18 |
Keywords: | Mathematics , Human genetics , Epidemiology , Probabilities , Biomathematics , Population , Mathematics , Mathematical and Computational Biology , Probability Theory and Stochastic Processes , Epidemiology , Human Genetics , Population Economics |
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Call number: | SPRINGER-2003-9783034880855:ONLINE Show nearby items on shelf |
Title: | Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics EVEQ2000 Conference in Levico Terme (Trento, Italy), October 30–November 4, 2000 |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (424 p.) |
Note: | 10.1007/978-3-0348-8085-5 |
Contents: | Preface -- Evolution problems associated to linear growth functionals: the Dirichlet problem -- Time operators associated to dilations of Markov processes -- Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions |
with constraints -- On a convolution-evolution equation in aeroelasticity -- On the effect of small delays to the stability of feedback systems -- Mean square continuity of Ornstein-Uhlenbeck processes in Banach spaces -- Some remarks | |
on maximal regularity of parabolic problems -- A semigroup approach to no-arbitrage pricing theory: constant elasticity variance model and term structure models -- Perturbations of Ornstein-Uhlenbeck operators: an analytic approach -- | |
Towards an L1-theory for vector-valued elliptic boundary value problems -- On moving boundaries in elliptic-parabolic systems -- Spectral mapping theorems and spectral space-independence -- The Laplacian with generalized Wentzell | |
boundary conditions -- Consistency and stabilization of rational approximation schemes for Co-semigroups -- Poincaré’s inequality on stratified sets and applications -- Variational principles for granular matter -- Homogeneous | |
dynamical systems and the age-structured SIR model with proportionate mixing incidence -- Asymptotic behaviour of solutions of nonlinear Volterra equations -- Semigroups for initial boundary value problems -- Maximal Lp-regularity for | |
second order elliptic operators with uniformly continuous coefficients on domains -- An age structured S.I. epidemic problem in a heterogeneous environment -- A general “isotropic” Paley-Wiener theorem and some of its applications -- | |
Asymptotic stability for a functional differential equation in Hilbert space -- Self-intersections for Willmore flow -- Chernoff's theorem and the construction of semigroups -- Harmonic map heat flow generated by Markovian semigroups | |
-- The Hamilton-Jacobi-Bellman equation and the stochastic Noether theorem -- Marcinkiewicz and Mihlin multiplier theorems, and R-boundedness -- Quasilinear P.D.E.s with memory operators | |
ISBN: | 9783034880855 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 55 |
Keywords: | Mathematics , Algebra , Partial differential equations , Game theory , Probabilities , Biomathematics , Mathematics , Algebra , Partial Differential Equations , Game Theory, Economics, Social and Behav. Sciences , Genetics and Population Dynamics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-2003-9781447100492:ONLINE Show nearby items on shelf |
Title: | Essential Mathematical Biology |
Author(s): |
Nicholas Ferris Britton |
Date: | 2003 |
Size: | 1 online resource (335 p.) |
Note: | 10.1007/978-1-4471-0049-2 |
Contents: | 1. Single Species Population Dynamics -- 2. Population Dynamics of Interacting Species -- 3. Infectious Diseases -- 4. Population Genetics and Evolution -- 5. Biological Motion -- 6. Molecular and Cellular Biology -- 7. Pattern |
Formation -- 8. Tumour Modelling -- Further Reading -- A. Some Techniques for Difference Equations -- A.1 First-order Equations -- A.1.1 Graphical Analysis -- A.1.2 Linearisation -- A.2 Bifurcations and Chaos for First-order Equations | |
-- A.2.1 Saddle-node Bifurcations -- A.2.2 Transcritical Bifurcations -- A.2.3 Pitchfork Bifurcations -- A.2.4 Period-doubling or Flip Bifurcations -- A.3 Systems of Linear Equations: Jury Conditions -- A.4 Systems of Nonlinear | |
Difference Equations -- A.4.1 Linearisation of Systems -- A.4.2 Bifurcation for Systems -- B. Some Techniques for Ordinary Differential Equations -- B.1 First-order Ordinary Differential Equations -- B.1.1 Geometric Analysis -- B.1.2 | |
Integration -- B.1.3 Linearisation -- B.2 Second-order Ordinary Differential Equations -- B.2.1 Geometric Analysis (Phase Plane) -- B.2.2 Linearisation -- B.2.3 Poincaré-Bendixson Theory -- B.3 Some Results and Techniques for rath | |
Order Systems -- B.3.1 Linearisation -- B.3.2 Lyapunov Functions -- B.3.3 Some Miscellaneous Facts -- B.4 Bifurcation Theory for Ordinary Differential Equations -- B.4.1 Bifurcations with Eigenvalue Zero -- B.4.2 Hopf Bifurcations -- | |
C. Some Techniques for Partial Differential Equations -- C.1 First-order Partial Differential Equations and Characteristics -- C.2 Some Results and Techniques for the Diffusion Equation -- C.2.1 The Fundamental Solution -- C.2.2 | |
Connection with Probabilities -- C.2.3 Other Coordinate Systems -- C.3 Some Spectral Theory for Laplace’s Equation -- C.4 Separation of Variables in Partial Differential Equations -- C.5 Systems of Diffusion Equations with Linear | |
Kinetics -- C.6 Separating the Spatial Variables from Each Other -- D. Non-negative Matrices -- D.1 Perron-Frobenius Theory -- E. Hints for Exercises | |
ISBN: | 9781447100492 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Life sciences , Applied mathematics , Engineering mathematics , Mathematical models , Biomathematics , Mathematics , Mathematical and Computational Biology , Applications of Mathematics , Mathematical Modeling and Industrial Mathematics , Life Sciences, general |
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Call number: | SPRINGER-2003-9780387227115:ONLINE Show nearby items on shelf |
Title: | Applied Probability |
Author(s): |
Kenneth Lange |
Date: | 2003 |
Size: | 1 online resource (302 p.) |
Note: | 10.1007/b98849 |
Contents: | Basic Principles of Population Genetics -- Counting Methods and the EM Algorithm -- Newton’s Method and Scoring -- Hypothesis Testing and Categorical Data -- Genetic Identity Coefficients -- Applications of Identity Coefficients -- |
Computation of Mendelian Likelihoods -- The Polygenic Model -- Descent Graph Methods -- Molecular Phylogeny -- Radiation Hybrid Mapping -- Models of Recombination -- Sequence Analysis -- Poisson Approximation -- Diffusion Processes | |
ISBN: | 9780387227115 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistical Theory and Methods |
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Call number: | SPRINGER-2003-9780387217611:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems in Population Biology |
Author(s): |
Xiao-Qiang Zhao |
Date: | 2003 |
Size: | 1 online resource (276 p.) |
Note: | 10.1007/978-0-387-21761-1 |
Contents: | 1 Dissipative Dynamical Systems -- 2 Monotone Dynamics -- 3 Nonautonomous Semiflows -- 4 A Discrete-Time Chemostat Model -- 5 N-Species Competition in a Periodic Chemostat -- 6 Almost Periodic Competitive Systems -- 7 |
Competitor—Competitor—Mutualist Systems -- 8 A Periodically Pulsed Bioreactor Model -- 9 A Nonlocal and Delayed Predator—Prey Model -- 10 Traveling Waves in Bistable Nonlinearities -- References | |
ISBN: | 9780387217611 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Dynamics , Ergodic theory , Biomathematics , Mathematics , Dynamical Systems and Ergodic Theory , Genetics and Population Dynamics |
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Call number: | SPRINGER-2002-9781447137085:ONLINE Show nearby items on shelf |
Title: | Estimating Animal Abundance Closed Populations |
Author(s): |
D. L Borchers |
Date: | 2002 |
Size: | 1 online resource (314 p.) |
Note: | 10.1007/978-1-4471-3708-5 |
Contents: | 1 Introduction -- 2 Using likelihood for estimation -- 3 Building blocks -- 4 Plot sampling -- 5 Removal, catch-effort and change-in-ratio -- 6 Simple mark-recapture -- 7 Distance sampling -- 8 Nearest neighbour and |
point-to-nearest-object -- 9 Further building blocks -- 10 Spatial/temporal models with certain detection -- 11 Dealing with heterogeneity -- 12 Integrated models -- 13 Dynamic and open population models -- 14 Which method? -- A | |
Notation and Glossary -- A.1 Notation -- A.2 Glossary -- B Statistical formulation for observation models -- B.1 Detection function -- B.2 Multiple surveys -- C The asymptotic variance of MLEs -- C.1 Estimating the variance of an MLE | |
-- C.2 Estimating the variance of a function of an MLE -- C.3 A one-parameter example -- C.3.1 Fisher information version 1 -- C.3.2 Fisher information version 2 -- C.3.3 Observed information -- D State models for mark-recapture and | |
removal methods -- D.1 Static population -- D.2 Independent dynamics -- D.3 Markov dynamics -- References | |
ISBN: | 9781447137085 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Ecology , Animal ecology , Applied mathematics , Engineering mathematics , Biomathematics , Statistics , Mathematics , Applications of Mathematics , Animal Ecology , Ecology , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Genetics and Population Dynamics |
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Call number: | SPRINGER-2002-9780387224466:ONLINE Show nearby items on shelf |
Title: | Random Perturbation Methods with Applications in Science and Engineering |
Author(s): |
Anatoli V Skorokhod |
Date: | 2002 |
Size: | 1 online resource (490 p.) |
Note: | 10.1007/b98905 |
Contents: | Ergodic Theorems -- Convergence Properties of Stochastic Processes -- Averaging -- Normal Deviations -- Diffusion Approximation -- Stability -- Markov Chains with Random Transition Probabilities -- Randomly Perturbed Mechanical |
Systems -- Dynamical Systems on a Torus -- Phase—Locked Loops -- Models in Population Biology -- Genetics | |
ISBN: | 9780387224466 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Applied Mathematical Sciences: 150 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Probabilities , Physics , Mechanics , Mechanics, Applied , Mathematics , Probability Theory and Stochastic Processes , Appl.Mathematics/Computational Methods of Engineering , Analysis , Applications of Mathematics , Theoretical and Applied Mechanics , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2002-9780387215716:ONLINE Show nearby items on shelf |
Title: | Modeling and Simulation in Medicine and the Life Sciences |
Author(s): |
Frank C Hoppensteadt |
Date: | 2002 |
Edition: | Second Edition |
Size: | 1 online resource (355 p.) |
Note: | 10.1007/978-0-387-21571-6 |
Contents: | 1 The Heart and Circulation -- 1.1 Plan of the Circulation -- 1.2 Volume, Flow, and Pressure -- 1.3 Resistance and Compliance Vessels -- 1.4 The Heart as a Pair of Pumps -- 1.5 Mathematical Model of the Uncontrolled Circulation -- 1.6 |
Balancing the Two Sides of the Heart and the Two Circulations -- 1.7 The Need for External Circulatory Control Mechanisms -- 1.8 Neural Control: The Baroreceptor Loop -- 1.9 Autoregulation -- 2 Gas Exchange in the Lungs -- 2.1 The | |
Ideal Gas Law and the Solubility of Gases -- 2.2 The Equations of Gas Transport in One Alveolus -- 2.3 Gas Transport in the Lung -- 2.4 Optimal Gas Transport -- 2.5 Mean Alveolar and Arterial Partial Pressures -- 2.6 Transport of O2 -- | |
2.7 Computer Solution of the Equations for O2 Transport in the Lung -- 2.8 Computing Projects Concerning Oxygen Transport by the Lung -- 2.9 Annotated References -- Exercises -- 3 Control of Cell Volume and Electrical Properties of | |
Cell Membranes -- 3.1 Osmotic Pressure and the Work of Concentration -- 3.2 A Simple Model of Cell Volume Control -- 3.3 The Movement of Ions Across Cell Membranes -- 3.4 The Interaction of Electrical and Osmotic Effects -- 3.5 The | |
Hodgkin-Huxley Equations for the Nerve Action Potential -- 3.6 Computer Simulation of the Nerve Action Potential -- 3.7 Suggestions for Computing Projects Concerning the Nerve Impulse -- 3.8 Annotated References -- Exercises -- 4 The | |
Renal Countercurrent Mechanism -- 4.1 The Nephron -- 4.2 Dynamics of Na+ and H2O: Transport along the Renal Tubules -- 4.3 The Loop of Henle -- 4.4 The Juxtaglomerular Apparatus and the Renin-Angiotensin System -- 4.5 The Distal Tubule | |
and Collecting Duct: Concentrating and Diluting Modes -- 4.6 Remarks on the Significance of the Juxtaglomerular Apparatus -- 4.7 How Nephrons Do Better Than a Factor of e -- 4.8 Computing Project on the Interacting Nephron Population | |
Model -- 4.9 Annotated References -- Exercises -- 5 Muscle Mechanics -- 5.1 The Force-Velocity Curve -- 5.2 Crossbridge Dynamics -- 5.3 Computer Simulation of Crossbridge Attachment and Detachment -- 5.4 Suggested Computing Projects on | |
Crossbridge Dynamics -- 5.5 Annotated References -- Exercises -- 6 Neural Systems -- 6.1 Guttman’s Experiments on Phase Locking -- 6.2 Biological Rhythms -- 6.3 Model Neural Networks -- 6.4 Annotated References -- Exercises -- 7 | |
Population Dynamics -- 7.1 Bacterial Cultures -- 7.2 Age Structures -- 7.3 Microbial Ecology -- 7.4 Nonlinear Reproduction Curves -- 7.5 Controlling Populations -- 7.6 Annotated References -- Exercises -- 8 Genetics -- 8.1 Population | |
Genetics -- 8.2 Biotechnology -- 8.3 Annotated References -- Exercises -- 9 A Theory of Epidemics -- 9.1 Spread of Infection Within a Family -- 9.2 The Threshold of an Epidemic -- 9.3 Predicting the Severity of an Epidemic -- 9.4 | |
Annotated References -- Exercises -- 10 Patterns of Population Growth and Dispersal -- 10.1 Random Walks and the Process of Diffusion -- 10.2 Bacterial Growth on a Petri Plate -- 10.3 Concluding Remarks -- 10.4 Annotated References -- | |
Exercises -- Appendix A Getting Started with Matrices and Matlab -- Appendix B Background on Random Processes | |
ISBN: | 9780387215716 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Texts in Applied Mathematics: 10 |
Keywords: | Mathematics , Life sciences , Ecology , Applied mathematics , Engineering mathematics , Mathematical models , Biomathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Life Sciences, general , Physiological, Cellular and Medical Topics , Mathematical and Computational Biology , Ecology |
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Call number: | SPRINGER-2001-9783034883269:ONLINE Show nearby items on shelf |
Title: | Statistics in Genetics and in the Environmental Sciences |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (183 p.) |
Note: | 10.1007/978-3-0348-8326-9 |
Contents: | Statistical Interaction with Quantitative Geneticists to Enhance Impact from Plant Breeding Programs -- Outlier Resistance, Standardization, and Modeling Issues for DNA Microarray Data -- Variance Components Estimation with |
Uncertainty -- Robust Estimation for Chemical Concentration Data Subject to Detection Limits -- Risk Assessment of Low Dose Exposure to Carcinogens -- A Stochastic Model of Carcinogenesis -- Statistical Modelling to Answer Key | |
Questions in Atmospheric Chemistry: Three Case Studies -- Space Debris: Flux in a Two Dimensional Orbit -- A Robust Approach to Common Principal Components -- A Robustified Version of Sliced Inverse Regression -- Similarities Between | |
Location Depth and Regression Depth -- Approximate ?—Estimates for Linear Regression Based on Sub-sampling of Elemental Sets | |
ISBN: | 9783034883269 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Biochemistry , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistical Theory and Methods , Biochemistry, general |
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Call number: | SPRINGER-1999-9781461547778:ONLINE Show nearby items on shelf |
Title: | Introduction to Biometry |
Author(s): |
Pierre Jolicoeur |
Date: | 1999 |
Size: | 1 online resource (517 p.) |
Note: | 10.1007/978-1-4615-4777-8 |
Contents: | 1 Looking at quantitative biological data through scatter diagrams -- 2 Samples and populations, estimates and parameters -- 3 Frequencies and probabilities -- 4 Measures of central tendency and of dispersion -- 5 The normal |
distribution -- 6 The distribution of Student’st -- 7 The distribution of?2(chi squared) -- 8 The distribution of the variance ratio, F = S12/S12 -- 9 Hypotheses and confidence intervals concerning one or two means -- 10 Hypotheses and | |
confidence intervals concerning one variance -- 11 Hypotheses and confidence intervals concerning a variance ratio -- 12 The analysis of variance or “ANOVA” (one-way, type I) -- 13 The skewness and peakedness indicesg1andg2 -- 14 The | |
lognormal distribution -- 15 Testing hypotheses concerning frequency tables using the X2 distribution -- 16 Tests of goodness of fit -- 17 The binomial distribution -- 18 The Poisson distribution -- 19 The bivariate normal distribution | |
and the correlation coefficient, r -- 20 Estimation lines (the so-called “regression” lines) -- 21 The analysis of covariance or “ANCOVA”: comparing estimation lines -- 22 The orthogonal estimation line or major axis -- 23 The | |
trivariate normal distribution: partial and multiple correlations and regressions -- 24 Elementary linear calculations (vectors and matrices) -- 25 Partial and multiple correlations and regressions: matrix calculations -- 26 One-way | |
type I analysis of variance with contrasts -- 27 One-way type II analysis of variance with variance components -- 28 Two-way type I analysis of variance with interaction -- 29 The multivariate normal distribution -- 30 The distribution | |
of Hotelling’sT2 -- 31 Principal components orprincipal axes -- 32 Fisher’s linear discriminant function -- 33 Multiple discriminant analysis -- 34 Canonical correlations -- 35 Growth curves and other nonlinear relationships -- | |
Appendices -- The statistical tables most frequently used in biometry -- The standardized normal distribution -- The distribution of x (chi squared) -- Detailed table of contents -- Author index | |
ISBN: | 9781461547778 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Human genetics , Epidemiology , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics, general , Epidemiology , Human Genetics |
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Call number: | SPRINGER-1996-9781475710953:ONLINE Show nearby items on shelf |
Title: | An Introduction to the Mathematics of Biology: with Computer Algebra Models |
Author(s): |
Edward K Yeargers |
Date: | 1996 |
Size: | 1 online resource (417 p.) |
Note: | 10.1007/978-1-4757-1095-3 |
Contents: | 1 Biology, Mathematics, and a Mathematical Biology Laboratory -- 1.1 The Natural Linkage Between Mathematics and Biology -- 1.2 The Use of Models in Biology -- 1.3 What Can Be Derived from a Model and How Is It Analyzed? -- References |
and Suggested Further Reading -- 2 Some Mathematical Tools -- 2.1 Linear Dependence -- 2.2 Linear Regression, the Method of Least Squares -- 2.3 Multiple Regression -- 2.4 Modelig with qint Differential Equations -- 2.5 Matrix Analysis | |
-- 2.6 Statistical Data -- 2.7 Probability -- References and Suggested Further Reading -- 3 Reproduction and the Drive for Survival -- 3.1 The Darwinian Model of Evolution -- 3.2 Cells -- 3.3 Replication of Living Systems -- 3.4 | |
Population Growth and Its Limitations -- 3.5 The Exponential Model for Growth and Decay -- 3.6 Ouestions for Thou2ht and Discussion -- References and Suggested Further Reading -- 4 Interactions Between Organisms and Their Environment | |
-- 4.1 How Population Growth is Controlled -- 4.2 Community Ecology -- 4.3 Environmentally Limited Population Growth -- 4.4 A Brief Look at Multiple Species Systems -- 4.5 Questions for Thought and Discussion -- References and | |
Suggested Further Reading -- 5 Age-Dependent Population Structures -- 5.1 Aging and Death -- 5.2 The Age-Structure of Populations -- 5.3 Predicting the Age-Structure of a Population -- 5.4 Questions for Thought and Discussion -- | |
References and Suggested Further Reading -- 6 Random Movements in Space and Time -- 6.1 BioloQical Membranes -- 6.2 The Mathematics of Diffusion -- 6.3 Interplacenlal Transfer of Oxygen: Biological and Biochemical Considerations -- 6.4 | |
Oxygen Diffusion Across the Placenta: Physical Considerations -- 6.5 The Spread of Infectious Diseases -- 6.6 Questions for Thought and Discussion -- References and Suggested Further Reading -- 7 The Biological Disposition of Drugs and | |
Inorganic Toxins -- 7.1 The Biological Importance of Lead -- 7.2 Early Embryogenesis and Organ Formation -- 7.3 Gas Exchange -- 7.4 The Digestive System -- 7.5 The Skin -- 7.6 The Circulatory System -- 7.7 Bones -- 7.8 The Kidneys -- | |
7.9 Clinical Effects of Lead -- 7.10 A Mathematical Model for Lead in Mammals -- 7.11 Pharmacokinetics -- 7.12 Questions for Thought and Discussion -- References and Suggested Further Reading -- 8 Neurophysiology -- 8.1 Communication | |
Between Parts of an Organism -- 8.2 The Neuron -- 8.3 The Action Potential -- 8.4 Synapses—Interneuronal Connections -- 8.5 A Model for the Conduction of Action Potentials -- 8.6 The Fitzhugh-Nagumo Two-Variable Action Potential System | |
-- 8.7 Questions for Thought and Discussion -- References and Suggested Further Reading -- 9 The Biochemistry of Cells -- 9.1 Atoms and Bonds in Biochemistry -- 9.2 Biopolymers -- 9.3 Molecular Information Transfer -- 9.4 Enzymes and | |
Their Function -- 9.5 Rates of Chemical Reactions -- 9.6 Enzyme Kinetics -- 9.7 Questions for Thought and Discussion -- References and Suggested Further Reading -- 10 A Biomathematical Approach to HIV and AIDS -- 10.1 Viruses -- 10.2 | |
The Immune System -- 10.3 HIV and AIDS -- 10.4 An HIV Infection Model -- 10.5 A Model for a Mutating Virus -- 10.6 Predicting the Onset of AIDS -- 10.7 Questions for Thought and Discussion -- References and Suggested Further Reading -- | |
11 Genetics -- 11.1 Asexual Cell Reproduction—Mitosis -- 11.2 Sexual Reproduction—Meiosis and Fertilization -- 11.3 Classical Genetics -- 11.4 A Final Look at Darwinian Evolution -- 11.5 The Hardy-Weinberg Principle -- 11.6 The | |
Fixation of a Beneficial Mutation -- 11.7 Questions for Thought and Discussion -- References and Suggested Further Reading | |
ISBN: | 9781475710953 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Mathematical and Computational Biology , Applications of Mathematics |
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Call number: | SPRINGER-1994-9789401109901:ONLINE Show nearby items on shelf |
Title: | Non-Associative Algebra and Its Applications |
Author(s): | |
Date: | 1994 |
Size: | 1 online resource (416 p.) |
Note: | 10.1007/978-94-011-0990-1 |
Contents: | Malcev superalgebras -- The first Tits construction of Albert algebras over locally ringed spaces -- The identity (x2)2 = ?(x)x3 in baric algebras -- Cayley-Klein Lie algebras and their quantum universal enveloping algebras -- On |
constructions of nonsolvable Lie algebras whose ideals are in chain -- Lie algebras graded by root systems -- Bernstein representations -- On free differentials on associative algebras -- On primitive Jordan Banach algebras -- | |
Zel’manov’s theorem for nondegenerately ultraprime Jordan-Banach algebras -- Jordan H*-triple systems -- Prime alternative triple systems -- M-ideals of Schreier type and the Dunford-Pettis property -- Spectra of elements of a | |
nonassociative algebra -- Ranges of elements of a nonassociative algebra -- Coordinatization of Jordan algebras over locally ringed spaces -- Sur la décomposition de Peirce -- On transitive left-symmetric algebras -- Spectral study of | |
some topological Jordan algebras -- Representations of reduced enveloping algebras -- A cohomological characterization of solvable modular Lie algebras -- An extension of the Zel’manov-Goldie theorem -- On the unitarization of highest | |
weight representations for affine Kac-Moody algebras -- Cohn’s theorem for superalgebras -- On Bernstein algebras of n-th order -- On Bernstein algebras -- Realization of Lie algebras with polynomial vector fields -- Les algèbres de | |
Kac-Moody et l’homologie dièdrale -- Quadratic differential equations in graded algebras -- Projective double Lie algebras on a Lie algebra -- On derivation algebras of group algebras -- J-diviseurs topologiques de zéro dans une | |
algèbre de Jordan n.c. normée -- On Freudenthal-Kantor triple systems and generalized structurable algebras -- Hermitian Jordan triple systems and the automorphisms of bounded symmetric domains -- Quadratic differential equations on | |
graded structures -- A generalization of Novikov rings -- Automorphismes et dérivations dans les algèbres de Barker -- Lattice isomorphisms of Jordan algebras over arbitrary fields -- Multibaric algebras -- The Bernstein Problem in | |
mathematical genetics and Bernstein algebras -- Les algèbres de mutation -- Non associative graded algebras -- Tracial elements for nonassociative H*-algebras -- On lattice isomorphism of Bernstein algebras -- Bernstein algebras whose | |
lattice ideals is linear -- Local algebras -- Applications of fox differential calculus to free Lie superalgebras -- On the cohomology for the Witt algebra w(1,1) -- 3-graded Lie algebras and Jordan pairs -- Super-triple systems, | |
normal and classical Yang-Baxter equations -- A conjecture on locally Novikov algebras -- Coalgebra, cocomposition and cohomology -- Minimal polynomial identities of bark algebras -- On power associative composition algebras -- | |
Enumeration and classification of Albert algebras: reduced models and the invariants mod 2 -- Composition algebras over open dense subschemes of curves of genus zero -- Simple Jordan superalgebras -- Absolute valued algebras of degree | |
two -- On a generalization of the Jordan inverse -- On geodesic loops of trans-symmetric space -- Quadratic systems, blow-up, and algebras -- Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras -- | |
Duplicated algebras of algebras -- aux algèbres de Bernstein périodiques -- Randon Jordan derivations -- Randon derivations on H*-algebras -- Algebras of rank three -- Inner product characterizations of classical Cayley-Dickson | |
algebras -- Sur les ?-algèbras de Jordan non commutatives, de division, de dimension 8, possédant un automorphisme ou une dérivation non triviaux | |
ISBN: | 9789401109901 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 303 |
Keywords: | Mathematics , Associative rings , Rings (Algebra) , Nonassociative rings , Functional analysis , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Non-associative Rings and Algebras , Associative Rings and Algebras , Mathematical and Computational Biology , Applications of Mathematics , Functional Analysis |
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Call number: | SPRINGER-1994-9783642501241:ONLINE Show nearby items on shelf |
Title: | Frontiers in Mathematical Biology |
Author(s): | |
Date: | 1994 |
Size: | 1 online resource (633 p.) |
Note: | 10.1007/978-3-642-50124-1 |
Contents: | I. Frontiers in Cell and Molecular Biology -- Reflections on Mathematical Contributions to Understanding the Molecular Basis of Life From 1970 to the 21 st Century -- Genomes, Maps and Sequences -- Cell Protrusions -- Cell Motion and |
Orientation: Theories of Elementary Behavior Between Environmental Stimulation and Autopoietic Regulation -- II. Frontiers in Organismal Biology -- Pattern Formation in Tissue Interaction Models -- Toward Artificial Competence -- | |
Norbert Wiener’s Brain Waves -- Puzzles About Excitable Media and Sudden Death -- Immune Networks and Immune Responses -- III. Frontiers in Evolutionary Biology -- Evolution of Gene Families: A Clue to Some Problems of Neo-Darwinism -- | |
The Changing Role of Population Genetics Theory -- Some Advantages and Disadvantages of Recombination -- The Morphometric Synthesis: A Brief Intellectual History -- Behavioral Ecology, Epidemiology and Population Genetics: The | |
Undiscovered Country -- IV. Frontiers in Population Ecology -- Stochastic Demography and Life Histories -- On the Reciprocal Relationship Between Life Histories and Population Dynamics -- Structured Population Dynamics -- Modelling | |
Social Animal Aggregations -- Spatial Chaos and its Role in Ecology and Evolution -- V Frontiers in Community and Ecosystem Ecology -- Speculations on the Future of Food Webs -- Lorenzo Camerano’s Contribution to Early Food Web Theory | |
-- On the Equilibrium of Living Beings by Means of Reciprocal Destruction -- Frontiers in Ecosystem Science -- Individual-Oriented Approaches to Modeling Ecological Populations and Communities -- A Metaphysiological Approach to | |
Modeling Ecological Populations and Communities -- The Trophodynamics of Whole Ecological Communities -- Modeling Contact Structures in Biology -- VI. Frontiers in Applied Biology -- Conservation and Spatial Structure: Theoretical | |
Approaches -- A Thousand and One Epidemic Models -- Uncertainty and Fisheries Management -- Ecological Risk Assessment in Aquatic Populations and Communities: The Next Generation -- VII. Mathematical Challenges -- Health Information in | |
Developing Countries -- What Everyone Should Know About the Belousov-Zhabotinsky Reaction -- Avoiding Chaos -- Model Building as an Inverse Problem in Biomathematics -- Some Remarks on Estimation Techniques for Size-Structured | |
Population Models | |
ISBN: | 9783642501241 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 100 |
Keywords: | Mathematics , Biochemistry , Cell biology , Ecology , Biomathematics , Mathematics , Mathematical and Computational Biology , Cell Biology , Biochemistry, general , Ecology |
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Call number: | SPRINGER-1992-9789401128681:ONLINE Show nearby items on shelf |
Title: | Wildlife 2001: Populations |
Author(s): | |
Date: | 1992 |
Size: | 1 online resource (1163 p.) |
Note: | 10.1007/978-94-011-2868-1 |
Contents: | General Session 1: Population Methods -- General Session 3: Threatened Populations -- Special Session 1: Overabundant Populations -- Special Session 2: Reptile and Amphibian Populations -- Special Session 3: Passerine Bird Populations |
-- Special Session 4: Seabird Populations -- Special Session 5: Waterfowl Populations -- Special Session 6: Game Bird Populations -- Special Session 7: Raptor Populations -- Special Session 8: Small Mammal Populations -- Special | |
Session 9: Furbearer Populations -- Special Session 10: Large Herbivore Populations -- Special Session 11: Marine Mammal Populations -- Special Session 12: Large Carnivore Populations -- Index of Contributors | |
ISBN: | 9789401128681 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Ecology , Biomathematics , Environmental management , Nature conservation , Mathematics , Genetics and Population Dynamics , Nature Conservation , Environmental Management , Ecology |
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Call number: | SPRINGER-1990-9789400925892:ONLINE Show nearby items on shelf |
Title: | Fundamentals of Mathematical Evolutionary Genetics |
Author(s): |
Yuri M Svirezhev |
Date: | 1990 |
Size: | 1 online resource (396 p.) |
Note: | 10.1007/978-94-009-2589-2 |
Contents: | 1. Deterministic Models in Mathematical Genetics -- 1. Brief Outline of Microevolution Theory with Some Facts from Genetics -- 2. Basic Equations of Population Genetics -- 3. Simplest Population Models -- 4. Multiple Alleles -- 5. |
Sex-Limited and Sex-Linked Characters. Models Taking Account of Sex Distinctions -- 6. Populations With Deviations from Panmixia -- 7. Systems of Linked Populations. Migration -- 8. Population Dynamics in Changing Environment -- 9. | |
Multi-Locus Models -- 2. Stochastic Models of Mathematical Genetics -- 10. Diffusion Models of Population Genetics -- 11. Random Genetic Drift in the Narrow Sense -- 12. Properties of Single-Locus Models under Several Microevolutionary | |
Pressures -- 13. Random Genetic Drift in Subdivided Populations -- Conclusion -- Short Glossary of Genetic Terms | |
ISBN: | 9789400925892 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications, Soviet Series: 22 |
Keywords: | Mathematics , Human genetics , Mathematical models , Statistics , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Human Genetics , Appl.Mathematics/Computational Methods of Engineering , Statistics, general |
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Call number: | SPRINGER-1990-9789400905139:ONLINE Show nearby items on shelf |
Title: | Mathematical and Statistical Developments of Evolutionary Theory |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (380 p.) |
Note: | 10.1007/978-94-009-0513-9 |
Contents: | The Differential Geometry of Population Genetics and Evolutionary Games -- Topics in the Theory of Ess’s -- Selection in Natural Populations -- Population Genetics Theory - The Past and the Future -- A Discussion of Evolutionarily |
Stable Strategies -- Évolution Du Rapport Numérique Des Sexes Et Modèles Dynamiques connexes -- Topics in Evolutionary Ecology | |
ISBN: | 9789400905139 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series C: Mathematical and Physical Sciences: 299 |
Keywords: | Life sciences , Human genetics , Evolutionary biology , Mathematical models , Statistics , Life Sciences , Evolutionary Biology , Human Genetics , Mathematical Modeling and Industrial Mathematics , Statistics, general |
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Call number: | SPRINGER-1990-9783642516528:ONLINE Show nearby items on shelf |
Title: | Population Dynamics in Variable Environments |
Author(s): |
Shripad Tuljapurkar |
Date: | 1990 |
Size: | 1 online resource (154 p.) |
Note: | 10.1007/978-3-642-51652-8 |
Contents: | 1 Introduction -- 2 Beginnings: Classical Theory -- 3 Deterministic Temporal Variation -- 4 Random Rates: General Theory -- 5 Examples -- 6 Ess and Allele Invasion -- 7 Moments of the Population Vector -- 8 Random Survival or |
Fertility: Exact Results -- 9 Age Structure: Bounds, Growth, Convergence -- 10 Synergy, Constraints, Convexity -- 11 Sensitivity Analysis of Growth Rate -- 12 Growth Rates for Small Noise -- 13 Population Structure for Small Noise -- | |
14 Population Projection -- 15 Life History and Iteroparity -- 16 Life History Evolution: Delayed Flowering | |
ISBN: | 9783642516528 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 85 |
Keywords: | Mathematics , Ecology , Biomathematics , Statistics , Mathematics , Genetics and Population Dynamics , Mathematical and Computational Biology , Ecology , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-1989-9789400923584:ONLINE Show nearby items on shelf |
Title: | Evolution and Control in Biological Systems Proceedings of the IIASA Workshop, Laxenburg, Austria, 30 November – 4 December 1987 |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (191 p.) |
Note: | 10.1007/978-94-009-2358-4 |
Contents: | I. Stability and Persistence for Ecological Models -- Stability Conditions for Two Predator One Prey Systems -- A Unified Approach to Persistence -- Reflections and Calculations on a Prey-Predator-Patch System Problem -- A Homotopy |
Technique for a Linear Generalization of Volterra Models -- Cooperative Systems Theory and Global Stability of Diffusion Models -- II. Selection and Evolutionary Games -- The n-Person War of Attrition -- Mutation-Selection Models in | |
Population Genetics and Evolutionary Game Theory -- III. Demography for Structured Opulations -- Pair Formation in Age-Structured Populations -- The Markov Structure of Population Growth -- IV. Mathematical Models of the Immune | |
Response -- On a Generalized Mathematical Model of the Immune Response -- Recent Results in Mathematical Modeling of Infectious Diseases -- Applications of the Mathematical Model of Immunological Tolerance to Immunoglobulin Suppression | |
and AIDS -- Distribution of Recirculating Lymphocytes: A Stochastic Model Foundation -- V. Simulation and Control in Medicine -- Recent Progress in 3-D Computer Simulation of Tumor Growth and Treatment -- Mathematical Simulation of the | |
Immunomodulating Role of Energy Metabolism in Support of Synergism and Antagonism of the Compartments of an Immune System -- Interleukin 2 and Immune Response Control Mathematical Model | |
ISBN: | 9789400923584 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Immunology , Biochemistry , Mathematical models , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Biochemistry, general , Appl.Mathematics/Computational Methods of Engineering , Immunology |
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Call number: | SPRINGER-1989-9781461236801:ONLINE Show nearby items on shelf |
Title: | Statistical Modelling Proceedings of GLIM 89 and the 4th International Workshop on Statistical Modelling held in Trento, Italy, July 17–21, 1989 |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (343 p.) |
Note: | 10.1007/978-1-4612-3680-1 |
Contents: | Papers Presented in the Glim Working Party Session -- Functional programming for GLMs -- GLIM 4 - Structure and development -- Generalised linear models and some extensions: Geometry and algorithms -- The Glimpse System -- The |
optional graphics command extension to GLIM 3.77 -- Invited and Contributed Papers -- SABRE: software for the analysis of binary recurrent events -- Score tests in overdispersed GLM’s -- A few problems with application of the | |
Kalman-Filter -- Bootstrap goodness of link testing in generalized linear models -- Estimation and tests in a quasi - likelihood model with a non-constant dispersion parameter -- Fitting non-exponential family nonlinear models in GLIM | |
by using the offset facility -- Graphical modelling using MIM -- Beta-geometric modelling of birth intervals using GLIM -- Polytomous logistic regression methods and application -- Models for nested binary and ordinal data -- Extended | |
Kalman-Filtering for non-Normal longitudinal data -- Modelling transition probabilities in the analysis of aggregated data -- Generalisations of the Goodman association model for the analysis of multi-dimensional contingency tables -- | |
The Rasch model, some extensions and their relation to the class of Generalized Linear Models -- Threshold models for ordinal data involving stratification -- Analysis of symmetric cross-classifications -- Markov modelling for | |
extra-binomial variation in HF (radio) spectral occupancy -- Ill-conditioned information matrices and the Generalized Linear Model: an asympotically biased estimation approach -- Regression models for repeated event data: an | |
application to accident frequencies of railway workers -- The norm-p estimation of location, scale and simple linear regression parameters -- Computing confidence intervals in GLIM -- Log-linear models in genetics -- Modelling run-off | |
data in general insurance -- Summarizing the results of fitting generalized linear models to data from designed experiments -- Application of truncated and mixture distributions to comparisons of birthweight -- Non symmetrical | |
logarithmic analysis for contingency tables -- GLM’s and coefficient ratios -- Estimation of break point parameters using GLIM -- Latent budget analysis -- The compactification of Generalized linear models -- Uses of power | |
transformation in generalized linear modelling -- MIVA: An alternative method to generalized linear models | |
ISBN: | 9781461236801 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Statistics: 57 |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Mathematics , Applications of Mathematics |
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Call number: | SPRINGER-1988-9789400928930:ONLINE Show nearby items on shelf |
Title: | Stochastic Processes in Physics and Engineering |
Author(s): | |
Date: | 1988 |
Size: | 1 online resource (436 p.) |
Note: | 10.1007/978-94-009-2893-0 |
Contents: | Statistical physics and optimization: binary sequences with small autocorrelations -- A MACSYMA/expert system for nonlinear filtering -- Generalized solution of some stochastic P.D.E.’s in turbulent diffusion -- Nonstandard techniques |
in stochastic optimal control theory -- Recursive estimation of order and parameters of a pilot plant turbo generator -- Attainability and reversibility of a golden age for the labour-surplus economy: a stochastic variational approach | |
-- Wavelet transforms and edge detection -- Lie algebraic method in filtering and identification -- White noise analysis and the Levy Laplacian -- An application of adaptive optimal control -- The value of an option based on an average | |
security value -- On asymptotic localization by perturbing operators for partial observation of a stochastic evolution equation -- Adaptive games -- Nonlinear filtering and smoothing with high signal-to-noise ratio -- Fractal and | |
multifractal structures in kinetic critical phenomena -- Generalized Levy distributions as limit laws -- The oscillator representation of the metaplectic group applied to quantum electronics and computerized tomography -- Stepping | |
stone models in population genetics and population dynamics -- Power spectrum and Fredholm determinant related to intermittent chaos -- On the qualitative behaviour of interacting biological cell systems -- List of participants | |
ISBN: | 9789400928930 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 42 |
Keywords: | Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-1988-9781461210467:ONLINE Show nearby items on shelf |
Title: | An Introduction to Probabilistic Modeling |
Author(s): |
Pierre Brémaud |
Date: | 1988 |
Size: | 1 online resource (208 p.) |
Note: | 10.1007/978-1-4612-1046-7 |
Contents: | 1 Basic Concepts and Elementary Models -- 1. The Vocabulary of Probability Theory -- 2. Events and Probability -- 3. Random Variables and Their Distributions -- 4. Conditional Probability and Independence -- 5. Solving Elementary |
Problems -- 6. Counting and Probability -- 7. Concrete Probability Spaces -- Illustration 1. A Simple Model in Genetics: Mendel’s Law and Hardy—Weinberg’s Theorem -- Illustration 2. The Art of Counting: The Ballot Problem and the | |
Reflection Principle -- Illustration 3. Bertrand’s Paradox -- 2 Discrete Probability -- 1. Discrete Random Elements -- 2. Variance and Chebyshev’s Inequality -- 3. Generating Functions -- Illustration 4. An Introduction to Population | |
Theory: Galton—Watson’s Branching Process -- Illustration 5. Shannon’s Source Coding Theorem: An Introduction to Information Theory -- 3 Probability Densities -- I. Expectation of Random Variables with a Density -- 2. Expectation of | |
Functionals of Random Vectors -- 3. Independence -- 4. Random Variables That Are Not Discrete and Do Not Have a pd -- Illustration 6. Buffon’s Needle: A Problem in Random Geometry -- 4 Gauss and Poisson -- 1. Smooth Change of Variables | |
-- 2. Gaussian Vectors -- 3. Poisson Processes -- 4. Gaussian Stochastic Processes -- Illustration 7. An Introduction to Bayesian Decision Theory: Tests of Gaussian Hypotheses -- 5 Convergences -- 1. Almost-Sure Convergence -- 2. | |
Convergence in Law -- 3. The Hierarchy of Convergences -- Illustration 8. A Statistical Procedure: The Chi-Square Test -- Illustration 9. Introduction to Signal Theory: Filtering -- Additional Exercises -- Solutions to Additional | |
Exercises | |
ISBN: | 9781461210467 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-1987-9783642465994:ONLINE Show nearby items on shelf |
Title: | Stochastic Methods in Biology Proceedings of a Workshop held in Nagoya, Japan July 8–12 1985 |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (229 p.) |
Note: | 10.1007/978-3-642-46599-4 |
Contents: | I. Population genetics -- [1] A stochastic model of compensatory neutral evolution -- [2] Some models for treating evolution of multigene families and other repetitive DNA sequences -- [3] A genealogical description of the |
infinitely-many neutral alleles model -- [4] Equilibrium measures of the stepping stone model with selection in population genetics -- [5] Asymptotic properties for Kimura’s diffusion model with altruistic allele -- II. Measure-valued | |
diffusion processes related to population genetics -- [6] The infinitely-many-alleles model with selection as a measure-valued diffusion -- [7] Multi-allelic Gillespie-Sato diffusion models and their extension to infinite allelic ones | |
-- [8] Stationary distribution of a diffusion process taking values in probability distributions on the partitions -- III. Neurophysiology -- [9] Weak convergence of stochastic neuronal models -- [10] Note on the Ornstein-Uhlenbeck | |
process model for stochastic activity of a single neuron -- IV. Fluctuation in living cells -- [11] Fluctuation in living cells: effect of field fluctuation and asymmetry of fluctuation -- [12] Some aspects of Oosawa’s equation -- V. | |
Mathematical methods related to other problems in biology, epidemiology, population dynamics, etc. -- [13] Problems of epidemic modelling -- [14] Markov semigroups associated with one-dimensional Lévy operators --regularity and | |
convergence-- -- [15] On some conditions for diffusion processes to stay on the boundary of a domain -- [16] The point interaction approximation for diffusion in regions with many small holes -- [17] Unimodality and bounds of modes for | |
distributions of generalized sojourn times -- [18] Fluctuation in population dynamics | |
ISBN: | 9783642465994 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 70 |
Keywords: | Mathematics , Probabilities , Biomathematics , Statistics , Mathematics , Probability Theory and Stochastic Processes , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-1986-9783540470533:ONLINE Show nearby items on shelf |
Title: | Stochastic Spatial Processes Mathematical Theories and Biological Applications Proceedings of a Conference held in Heidelberg, September 10–14, 1984 |
Author(s): | |
Date: | 1986 |
Size: | 1 online resource (312 p.) |
Note: | 10.1007/BFb0076234 |
Contents: | Stochastic spatial processes in biology: A concise historical survey -- Tests for space-time clustering -- Age distributions in birth and death processes -- Critical clustering in the two dimensional voter model -- Measure-valued |
processes Construction, qualitative behavior and stochastic geometry -- Dual processes in population genetics -- Some peculiar properties of a particle system with sexual reproduction -- Computer simulation of developmental processes | |
in biology: Models for the developing limb -- Asymptotics and spatial growth of branching random fields -- Generation-dependent branching processes with immigration: convergence of distributions -- On a class of infinite particle | |
systems evolving in a random environment -- Percolation processes and dimensionality -- Birth and death processes with killing and applications to parasitic infections -- Limit theorems for multitype branching random walks -- On the | |
reproduction rate of the spatial general epidemic -- Nearest particle systems: Results and open problems -- Neutral models of geographical variation -- Stochastic measure diffusions as models of growth and spread -- L 2 convergence of | |
certain random walks on Z d and related diffusions -- Random fields: Applications in cell biology -- Correlated percolation and repulsive particle systems | |
ISBN: | 9783540470533 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1212 |
Keywords: | Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-1986-9783540398523:ONLINE Show nearby items on shelf |
Title: | Stochastic Processes and Their Applications Proceedings of the International Conference held in Nagoya, July 2–6, 1985 |
Author(s): | |
Date: | 1986 |
Size: | 1 online resource (224 p.) |
Note: | 10.1007/BFb0076868 |
Contents: | Asymptotic behaviour of stochastic flows of diffeomorphisms -- Stochastic ensembles and hierarchies -- A stochastic approach to the minimum principle for the complex Monge-Ampère operator -- Construction of stochastic processes |
associated with the Boltzmann equation and its applications -- Isotropic stochastic flows and a related property of non-random potential flows -- Explosion problems for symmetric diffusion processes -- Extremal process as a | |
substitution for one-sided stable process with index 0 -- Diffusion model of population genetics incorporating group selection, with special reference to an altruistic trait -- On laplacian operators of generalized brownian functionals | |
-- Precise estimates for the fundamental solutions to some degenerate elliptic differential equations -- On stochastic algorithms in adaptive filtering -- Estimation theory and statistical physics -- Quantum stochastic calculus -- | |
Quantum theory and stochastic processes — Some contact points -- The use of packing measure in the analysis of random sets | |
ISBN: | 9783540398523 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1203 |
Keywords: | Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-1986-9781461386315:ONLINE Show nearby items on shelf |
Title: | The Craft of Probabilistic Modelling A Collection of Personal Accounts |
Author(s): | |
Date: | 1986 |
Size: | 1 online resource (313 p.) |
Note: | 10.1007/978-1-4613-8631-5 |
Contents: | 1 Early Craftsmen -- Crafty Modelling -- Looking at Life Quantitatively -- Remembrance of Things Past -- A Boy from the Bush -- 2 The Craft Organized -- An Improbable Path -- Some Samples of Modelling -- Markovian Models—An Essay -- |
Probability Modelling Across the Continents -- Chance or Determinism? -- Diffusion Models of Population Genetics in the Age of Molecular Biology -- Return of the Wanderer: a Physicist Becomes a Probabilist -- In the Late Afternoon -- | |
The Making of a Queueing Theorist -- 3 The Craft in Development -- An Algorithmic Probabilist’s Apology -- Probability, Earthquakes and Travel Abroad -- From Information Theory to Quantum Mechanics -- From Real Analysis to Probability: | |
Autobiographical Notes -- The Path to the Genetics Sampling Formula -- In and Out of Applied Probability in Australia | |
ISBN: | 9781461386315 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Applied Probability, A Series of the Applied Probability Trust: 1 |
Keywords: | Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-1985-9783642932878:ONLINE Show nearby items on shelf |
Title: | Mathematics in Biology and Medicine Proceedings of an International Conference held in Bari, Italy, July 18–22, 1983 |
Author(s): | |
Date: | 1985 |
Size: | 1 online resource (528 p.) |
Note: | 10.1007/978-3-642-93287-8 |
Contents: | I. — Population Genetics and Ecology -- Invited Papers -- The role of diffusion in mathematical population biology: Skellam revisited -- The dynamics of structured populations: some examples -- Mathematical problems in the description |
of age structured populations -- Contributed Papers -- Models for mutual attraction and aggregation of motile individuals -- A problem on invariant manifolds arising in population genetics -- On a mathematical problem arising in cell | |
population biology -- The external memory of intertidal molluscs:a theoretical study of trail-following -- Stationary distributions for populations subject to random catastrophes -- A nonlinear diffusion equation in phytoplankton | |
dynamics with self—shading effects -- A model of aphid population with age structure -- On two-population models with switching depletion -- On some nonlinear diffusion models in population dynamics -- Reduction of the gene Flow of a | |
“neutral” linked gene due to the partial sterility of heterozygotes for a chromosome mutation -- Predator-mediated coexistence of competing species in a Volterra model -- On a nonlinear problem arising from interaction of algae with | |
light -- II. — Epidemics -- Invited Papers -- Congenital rubella syndrome (C.R.S.): models of disease control by vaccination -- A simulation model for the control of helminth diseases by chemotherapy -- Models for endemic diseases -- | |
Stochastic epidemics as point processes -- Contributed Papers -- A computer simulation program for the assessment of multistate epidemiological models of infectious diseases -- Mathematical model of hepatitis B -- Models of the | |
interaction of host genotypes and infectious disease -- On the general epidemic model in discrete time -- Control of virus transmission in age-structured populations -- Parameter estimation and validation for an epidemic model -- Local | |
stability in epidemic models for heterogeneous populations -- III. — Resource Management -- Invited Papers -- Bayesian methods in ecology and resource management -- Contributed Papers -- Stochastic differential equation models of | |
fisheries in an uncertain world: extinction probabilities, optimal fishing effort, and parameter estimation -- IV. — Physiology and Medicine -- Invited Papers -- Experiment designs identification of simple and complex models of | |
endocrine-metabolic systems -- A mathematical model for cardiac electric sources and related potential fields -- Mathematical analysis of immobilized enzyme systems -- Contributed Papers -- Modeling controls and variability of the cell | |
cycle -- The phase resetting characteristics of endogenously active neurones -- Theory of DNA superhelicity -- Determination of DNA synthesis rate in cell populations with locally exponential S-phase influx -- A numerical study for a | |
cell system -- Experimental validation of a mathematical procedure for the analysis of flow cytometric data -- A stochastic model for describing the space-time evolution of the extreme values of cardiac potentials on the chest surface | |
-- Statistical analysis of the coding capacity of complementary DNA strands -- Mass transport across multimembrane systems: a general analysis -- Time hierarchy in oscillating metabolic systems -- Modeling of the interaction between | |
ligands and cell membrane receptors in the presence of exogenous electric fields -- Balance of growth models of cell populations: the significance of simple mathematical considerations -- The age structure of populations of cells | |
reproducing by asymmetric division -- Numerical simulation of reentry of the activation wave in the heart hiss bundle -- Hopf bifurcation and the repetitive activity of excitable cells -- Nonlinear evolution equations with a | |
convolution term involved in some neurophysiological models -- Investigation of rapid metabolic reactions in whole organs by multiple pulse Labelling -- Cross-linking of identical particles by multiple ligand-types -- Enumeration of | |
RNA secondary structures by complexity -- Growth of cell populations -- V. — Compartmental Analysis -- Invited Papers -- A staging process with applications in biology and medicine -- On the use of residence time moments in the | |
statistical analysis of age-dependent stochastic compartmental systems -- An algorithm for reconstruction of count rate curves from total counts -- Contributed Papers -- On identifiability of linear compartmental systems: some results | |
obtained by means of structural properties of the associated graph -- Compartmental vs, noncompartmental modeling of ketone body kinetics -- Identifiability of compartmental models: on characterization of two extremal types of | |
input-output experiments -- VI. — General Mathematical Methods -- Invited Papers -- Estimation techniques for transport equations -- Stability of delay differential equations with applications in biology and medicine -- Existence of | |
quasi-solutions of systems of nonlinear elliptic BVP’s suggested by biochemical reactions -- Diffusion approximations and first passage time problems in population biology and neurobiology -- Contributed Papers -- The role of | |
exchangeability in biology, genetics and medicine -- Cyclic chemical systems: an asymptotic stability criterion -- On existence, uniqueness and attractivity of stationary solutions to some quasilinear parabolic systems -- Asymptotic | |
estimates for principal eigenvalues -- Remarks on the connection between positive feedback and instability in regard to model selection in population biology -- Lyapunov methods for a wide class of stochastic models in biology -- | |
Existence and uniqueness for a non linear Cauchy problem of hyperbolic type -- Catastrophe theory in biology -- S-system analysis of biological systems | |
ISBN: | 9783642932878 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 57 |
Keywords: | Mathematics , Algebra , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Applications of Mathematics , Algebra , Mathematical and Computational Biology |
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Call number: | SPRINGER-1985-9783642481253:ONLINE Show nearby items on shelf |
Title: | Population Genetics in Forestry Proceedings of the Meeting of the IUFRO Working Party “Ecological and Population Genetics” held in Göttingen, August 21–24, 1984 |
Author(s): | |
Date: | 1985 |
Size: | 1 online resource (292 p.) |
Note: | 10.1007/978-3-642-48125-3 |
Contents: | I Tree Breeding -- invited guest lecture: The Population Genetic Basis of Breeding Theory -- Hybridisation and Cytogenetics of European Birches -- II Mating Systems -- invited guest lecture: Mating System Estimation in Forest Trees: |
Models, Methods and Meanings -- invited guest lecture: Understanding the Genetic Structure of Plant Populations: Some Old Problems and a New Approach -- invited guest lecture: Inbreeding and Selection in Natural Populations -- | |
Polymorphic Equilibria Under Inbreeding Effects and Selection on Components of Reproduction -- Mating System Dynamics in a Scots Pine Seed Orchard -- Reproductive Success of Genotypes of Pinus sylves-tris L. in Different Environments | |
-- Multilocus Analysis of External Pollen Contamination of a Scots Pine (Pinus sylvestris L.) Seed Orchard -- Gene Dispersion and Selfing Frequency in a Seed-Tree Stand of Pinus sylvestris (L.) 1 -- invited guest lecture: Genetic | |
Constraints on the Evolution of Plant Reproductive Systems -- invited guest lecture: Evolution of Outbreeding Systems -- III Genetic Differentiation Within and Between Populations -- The Effects of Forest Management on the Genetic | |
Variability of Plant Species in the Herb Layer -- Studies on Breeding Structure in Two Tropical Tree Species -- A Multilocus Study of Natural Populations of Pinus sylvestris -- Genetic Effects of Scots Pine (Pinus sylvestris L.) | |
Domestication -- Genetic Differentiation Among Scots Pine Populations From the Lowlands and the Mountains in Poland -- Effects of Selection Pressure by SO2 Pollution on Genetic Structures of Norway Spruce (Picea abies) -- Measurement | |
of Genetic Differentiation in Plant Populations -- List of contributors | |
ISBN: | 9783642481253 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 60 |
Keywords: | Life sciences , Forestry , Algebra , Applied mathematics , Engineering mathematics , Biomathematics , Life Sciences , Forestry , Applications of Mathematics , Algebra , Mathematical and Computational Biology |
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Call number: | SPRINGER-1983-9783642878930:ONLINE Show nearby items on shelf |
Title: | Population Biology Proceedings of the International Conference held at the University of Alberta, Edmonton, Canada, June 22–30, 1982 |
Author(s): | |
Date: | 1983 |
Size: | 1 online resource (444 p.) |
Note: | 10.1007/978-3-642-87893-0 |
Contents: | I Population Genetics -- The Use of Coefficients of Identity to Study Random Drift -- Instability and Repulsivity of the Fixation States in Biallelic Selection Models -- Microscopic Clustering of Population Processes -- Models for |
Peripheral Populations: The Role of Immigration -- A Mathematical Analysis of the Chitty Hypothesis -- An Haploid Model for Genotype-Dependent Population Diffusion -- Further Models of Selection with Antagonistic Pleiotropy -- | |
Algebraic Methods in Genetics -- II Life History Strategies -- The Evolution of Life Histories Under Pleiotropic Constraints and K-Selection -- On the r-K Tradeoff in Density Dependent Selection -- A Test of Ideas About the Evolution | |
of Efficiencies and Strategies of Resource Use -- Compensatory Strategies of Energy Investment in Uncertain Environments -- A Geometric Model for Optimal Life History -- Necessary Conditions for an Invasion Proof Strategy -- The | |
Evolution of Stable Strategies -- III Population Growth -- Forecasting the Human Population -- Persistence in Uncertain Environments -- Formulating Population Models with Differential Aging -- Population Modelling by Higher Order | |
Differential Equations -- Concerning the Time-Dependence of Population Vital Rates -- Extinction Probabilities in Stochastic Age-Structured Models of Population Growth -- The Systematic Formulation of Delay-Differential Models of Age | |
or Size Structured Populations -- Lotka Distribution for a Finite Mixture of Human Populations I -- A Problem in Nonlinear Age Dependent Population Diffusion -- IV Competitive Systems -- Coexistence of Competitors in a Stochastic | |
Environment: The Storage Effect -- Invited Guest Lecture: Models of Competition for a Single Resource -- Competitive Predator-Prey Systems and Coexistence -- Coexistence of Many Competing Species -- Competition and Age-Structure -- | |
Selection of Molecular Species by Competition for a Common Source -- An Analysis of Competition Between The Larvae of a Deposit-Feeding and a Filter-Feeding Species of Chironomid (Diptera), Using a Mechanistic Model -- V predator-Prey | |
Systems -- Invited Guest Lecture: The Dynamics of Host-Parasitoid Interactions with Heterogeneity Host Density Dependence and Variable Sex Ratios -- Some Applications of Coherent State Representation to Nonlinear Bio-Oscillators -- | |
Mathematical Analysis of Some Resource-PreyPredator Models: Application to a NPZ Microcosm Model -- Resonance in Prey-Predator Systems -- A Mathematical Model of Population Regulation in Cyclic Mammals -- Monotone Schemes for Three | |
Species Prey-Predator Reaction-Diffusion -- Some Age-Structure Effects in Predator-Prey Models -- A Model Predator-Prey System with Mutual Interference and Time Delay -- Oscillations in Prey-Predator Volterra Models -- VI Community | |
Ecology -- Coevolution -- A Coexistence Model for N-Species Using Nearest Neighbour Interaction and the Role of Diffusion -- Periodic Lotka-Volterra Systems and Time Sharing of Ecological Niches -- Nonobligate and Obligate Models of | |
Mutualism -- Stability of Community Interaction Matrices -- Biomass Flow, Structure and Stability of Model Ecological Systems -- Is Dynamical Systems Theory the Best Way to Understand Ecosystem Stability? -- Stability in Compartmental | |
Models -- VII Resource Management -- Invited Guest Lecture: Search Theory in Ecology and Resource Management -- Models of Pheromone Release for Pest Control in which Males Attract Females -- Age- and Size-Specific Models in the | |
Dungeness Crab Fishery -- Harvesting Under Small Demographic Uncertainty -- Resource Recovery Time: Just How Destabilizing Is It? -- VIII Epidemology and Immunology -- Influence of Infectious Disease on the Growth of a Population with | |
Three Genotypes -- Interaction of Antitumor Cells: Competition and Interference -- A Model for Infection -- A Cyclic Epidemic Model with Temporary Immunity and Vital Dynamics | |
ISBN: | 9783642878930 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 52 |
Keywords: | Mathematics , Ecology , Biomathematics , Mathematics , Mathematical and Computational Biology , Ecology |
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Call number: | SPRINGER-1982-9781461257714:ONLINE Show nearby items on shelf |
Title: | GLIM 82: Proceedings of the International Conference on Generalised Linear Models |
Author(s): | |
Date: | 1982 |
Size: | 1 online resource (188 p.) |
Note: | 10.1007/978-1-4612-5771-4 |
Contents: | Prism, an Overview -- GLIM4 — The New Facilities -- Array Manipulation in Prism -- The Graph Module -- AOV: The Prism Module for Analysing Designed Experiments -- The Apl Alternative -- Direct Likelihood Inference -- Score Tests in |
Glim -- GLIM Syntax and Simultaneous Tests for Graphical Log Linear Models -- Compound Poisson Regression Models -- Some Aspects of Parametric Link Functions -- A Model for a Binary Response with Misclassifications -- Loglinear Models | |
with Composite Link Functions in Genetics -- Use of the Complementary Log-Log Function to Describe Dose-Response Relationships in Insecticide Evalation Field Trials -- Glim for Preference -- A Glm for Estimating Probabilities in | |
Retrospective Case-Control Studies | |
ISBN: | 9781461257714 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Statistics: 14 |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Mathematics , Applications of Mathematics |
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Call number: | SPRINGER-1980-9783642931611:ONLINE Show nearby items on shelf |
Title: | Vito Volterra Symposium on Mathematical Models in Biology Proceedings of a Conference Held at the Centro Linceo Interdisciplinare, Accademia Nazionale dei Lincei, Rome December 17 – 21, 1979 |
Author(s): | |
Date: | 1980 |
Size: | 1 online resource (418 p.) |
Note: | 10.1007/978-3-642-93161-1 |
Contents: | Topic I Models of Natural Selection -- Models of Natural Selection -- Stochastic Theory of Population Genetics and Evolution -- Natural Selection and Continuous Variation -- Some Models for the Evolution of Adaptive Traits -- |
Evolutionary Game Theory -- Variability and Permanence in Molecular Genetics -- Evolution in Human Populations: Data and Models -- Models of Density- and Frequency- Dependent Selection for the Exploitation of Resources. II. Coevolution | |
of Species in Competition -- Intraspecific Competition and Evolution -- Ecological Implications of Natural Selection -- Topic II Problems in Population Biology and Related Disciplines -- Areas of Overlap of Population Genetics with | |
Related Disciplines -- Completeness and Craft Standards in Ecological Theory -- A Theoretical Approach to the Dynamics of Single Populations -- Stochastic Equations in Neurobiology and Population Biology -- Models for Vector-Borne | |
Parasitic Diseases -- The Dynamics and Control of Direct Life Cycle Helminth Parasites -- Epidemiologic Models of Bacterial Diseases -- Strategic Planning Models for Rubella Vaccination Programmes -- The Cybernetics of Biological | |
Macromolecules -- A Pattern Formation Mechanism and its Application to Mammalian Coat Markings -- Cell Growth as an Autocatalytic Relaxation Process -- Vito Volterra and Contemporary Mathematical Biology | |
ISBN: | 9783642931611 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 39 |
Keywords: | Mathematics , Probabilities , Biomathematics , Statistics , Mathematics , Probability Theory and Stochastic Processes , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-1980-9783642510380:ONLINE Show nearby items on shelf |
Title: | Algebras in Genetics |
Author(s): |
Angelika Wörz-Busekros |
Date: | 1980 |
Size: | 1 online resource (241 p.) |
Note: | 10.1007/978-3-642-51038-0 |
Contents: | 0. Introduction -- 1. Algebras in Genetics -- A. The occurence of algebras in genetics -- B. Algebras with genetic realization and baric algebras -- 2. Algebraic Preliminaries -- A. Non associative algebras – definitions and notations |
-- B. Polynomials in non-associative powers -- C. The rank equation of an algebra -- 3. Train Algebras, Genetic Algebras and Special Train Algebras -- A. Train algebras -- B. Genetic algebras -- C. Special train algebras -- 4. | |
Idempotents and Sequences of Powers in Train Algebras, Genetic Algebras and Algebras With Genetic Realization -- A. Idempotents in train algebras and genetic algebras -- B. Idempotents in algebras with genetic realization -- C. | |
Sequences of principal and plenary powers in genetic algebras -- 5. The Non Commutative Case -- A. Train algebras, genetic algebras and special train algebras -- B. Idempotents and sequences of powers -- 6. Construction of New Algebras | |
-- A. Linear combinations of algebras -- B. Tensor products -- C. Duplication -- D. Construction of new algebras by linear mappings -- 7. Applications I -- A. Additive segregation rates -- B. Partially coupled loci -- C. Autopolyploidy | |
-- D. Overlapping and continuously overlapping generations -- 8. Applications II -- A. Asymmetric segregation rates -- B. Sex-linked inheritance -- C. Inbreeding systems -- 9. Concluding Remarks and Bernstein Algebras -- A. Open | |
problems -- B. Bernstein algebras -- References | |
ISBN: | 9783642510380 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 36 |
Keywords: | Mathematics , Cell biology , Biomathematics , Mathematics , Mathematical and Computational Biology , Cell Biology |
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Call number: | SPRINGER-1979-9783642931284:ONLINE Show nearby items on shelf |
Title: | The Geometry of Population Genetics |
Author(s): |
Ethan Akin |
Date: | 1979 |
Size: | 1 online resource (208 p.) |
Note: | 10.1007/978-3-642-93128-4 |
Contents: | I. The Vectorfield Model of Population Genetics -- 1. The Equations of Selection, Recombination and Mutation -- 2. Multivariate Analysis and Types of Epistasis -- 3. Euclidean Vector Spaces and Riemannian Manifolds -- 4. The |
Shahshahani Metric -- 5. The Product Theorems and Epistasis -- 6. The Selection Field -- 7. The Recombination Field -- 8. The Mutation Field -- 9. The Combined Field -- II. The Geometry of Epistasis -- 1. Orthogonal Decompositions -- | |
2. The Product Model -- III. Selection, Recombination and Mutation -- 1. Selection and Epistasis -- 2. Recombination and Entropy -- 3. Recombination and Epistasis -- 4. Position Effects -- 5. Mutation -- IV. The Hopf Bifurcation -- 1. | |
The Hessian -- 2. The Wright Conjecture -- 1. Proper Mappings -- 2. Partially Defined Distributions -- 3. Game Dynamics | |
ISBN: | 9783642931284 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 31 |
Keywords: | Mathematics , Differential geometry , Biomathematics , Mathematics , Differential Geometry , Mathematical and Computational Biology |
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Call number: | SPRINGER-1979-9783642671241:ONLINE Show nearby items on shelf |
Title: | Renal Calculus |
Author(s): |
Leslie N Pyrah |
Date: | 1979 |
Size: | 1 online resource (370 p.) |
Note: | 10.1007/978-3-642-67124-1 |
Contents: | 1: Epidemiology of Urolithiasis -- I. Early Cases of Vesical Calculus -- II. Ethnic Considerations -- III. Climate -- IV. Occupation -- V. Incidence of Stone in Countries with Different Degrees of Economic Development -- VI. The Stone |
Wave in Central Europe -- References -- 2: Pathology of the Stone-Bearing Kidney -- I. Theories of Renal Stone Formation -- II. General Structure of Renal Calculi -- III. Components of Renal Calculi -- IV. Morbid Anatomy -- References | |
-- 3: Intrarenal, Pararenal and Ureteric Disorders Complicated by Renal Calculi and Calcification -- I. Renal and Ureteric Stone and Obstructive Conditions in the Urinary Tract -- II. Renal Calculi and Cystic Conditions of the Kidney | |
-- III. Renal and Ureteric Calculi Associated with Other Congenital Anomalies of the Urinary Tract -- IV. Metaplastic Conditions and Tumours of the Kidney, the Ureter, and Calculi -- V. Renal Tubular Acidosis -- VI. Infective | |
Conditions of the Kidney and Calculous Disease -- References -- 4: Some Extrarenal Diseases Associated with Renal Stone or Nephrocalcinosis -- I. Primary Hyperparathyroidism -- II. Immobilization Osteoporosis and Recumbency | |
Urolithiasis -- III. Diseases of Other Ductless Glands -- IV. Sarcoidosis -- V. Paget’s Disease -- VI. Myelomatosis -- VII. Wilson’s Disease -- VIII. Ureterocolic Anastomosis, Ileal Ureterostomy and Cutaneous Ureterostomy -- IX. Renal | |
Calculi Complicating Renal Transplants -- References -- 5: Renal Calculi and Nephrocalcinosis Contributed to by Ingestion of Certain Substances: Environmental Calculosis -- I. Silicate Calculi -- II. The Sulphonamides -- III. Renal | |
Papillary Necrosis: Phenacetin Addiction -- IV. Nephrolithiasis and Chronic Peptic Ulcer -- V. Chronic Glomerulonephritis and Excessive Ingestion of Milk -- VI. Beryllium Poisoning -- VII. Cadmium Poisoning -- VII. Food Emulsifiers -- | |
References -- 6: Levels of the Principal Crystalloids in the Urine of Patients with Calcium-Containing Calculi -- I. Urinary Calcium -- II. Urinary Phosphate -- III. Urinary Oxalate -- IV. Urinary Crystalluria -- References -- 7: | |
Primary Hyperoxaluria and Related Conditions -- I. Primary Hyperoxaluria -- II. Related Conditions -- References -- 8: Idiopathic Hypercalciuria -- I. Clinical Features and Diagnosis -- II. Pathogenesis -- III. Treatment: Measures to | |
Reduce Urinary Calcium -- References -- 9: Chemical Substances in Urine Promoting or Preventing Renal Stone -- I. Some Chemical Substances and Their Relation to Renal Stone Formation -- II. Inhibitors of Calcification -- References -- | |
10: Clinical Picture of Renal and Ureteric Calculus -- I. Etiological Factors -- II. Clinical Course of Renal Stone Relative to Time -- III. Clinical Course of Renal Stone and Associated Factors -- IV. Clinical Symptoms of Renal and | |
Ureteric Calculi -- V. Clinical Differential Diagnosis of Renal and Ureteric Calculi -- VI. Investigation -- VII. Urolithiasis in Children -- VIII. Renal and Ureteric Calculus in Pregnancy -- References -- 11: Some General | |
Considerations in the Surgical Treatment of Renal and Ureteric Stone -- I. Blood Supply of the Kidney -- II. Amount of Renal Tissue Needed to Sustain Life -- III. Compensatory Hypertrophy of the Kidney Following Nephrectomy -- IV. | |
Recovery of Function After Ureteric Obstruction -- V. Prevention of Infection -- VI. Temporary Control of Bleeding -- VII. Cooling Techniques -- VIII. Radiography of the Exposed Kidney -- IX. Closure of the Wound -- References -- 12: | |
The Conservative Treatment of Renal and Ureteric Calculi -- I. Conservative Treatment -- II. Attempted Dissolution of Renal Calculi -- III. Perureteral Instrumental Methods for the Treatment of Ureteric Stone -- References -- 13: | |
Operative Treatment of Renal and Ureteric Calculi -- I. Simple Pyelolithotomy and Its Variants -- II. Nephrolithotomy -- III. Partial Nephrectomy -- IV. Ureterolithotomy -- V. Nephrectomy and Nephroureterectomy -- VI. Nephrostomy and | |
Pyelostomy for Calculous Pyonephrosis -- References -- 14: Special Groups of Cases of Stone and Their Treatment -- I. Treatment of Bilateral Renal and Ureteric Calculi -- II. Treatment of Stone in a Solitary Kidney -- III. Secondary | |
Operations for Renal and Ureteric Calculi -- IV. Recurrence of Calcium-Containing Stone in the Upper Urinary Tract After Operation -- V. Serious Cases of Renal Calculous Disease -- VI. Treatment of Infection in the Calculous Urinary | |
Tract -- VII. Medical Treatment of Calcium Phosphate-Containing Calculi -- VIII. Earlier Non-surgical Measures -- References -- 15: Uric Acid Calculi -- I. Pathology -- II. Clinical Picture -- III. Investigation -- IV. Treatment -- | |
References -- 16: Cystinuria and Cystine Lithiasis -- I. Incidence of Cystinuria -- II. Cystinuria and Cystine Urolithiasis in Childhood -- III. Pathology -- IV. Pathogenesis and Genetics of Cystinuria -- V. Clinical Picture -- VI. | |
Treatment -- VII. Cystinuria in Animals -- References -- 17: Xanthine Calculi and Xanthinuria -- I. Xanthinuria and Xanthine Oxidase -- II. Xanthine Stone -- III. Clinical Picture -- IV. Genetic Considerations -- V. Treatment -- | |
References | |
ISBN: | 9783642671241 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Urology , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis , Urology |
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Call number: | SPRINGER-1979-9783540353324:ONLINE Show nearby items on shelf |
Title: | Asymptotic Analysis From Theory to Application |
Author(s): | |
Date: | 1979 |
Size: | 1 online resource (248 p.) |
Note: | 10.1007/BFb0062943 |
Contents: | On matching principles -- Singular perturbations of spectra -- Feed-back control of singularly perturbed heating problems -- Singular perturbation methods in a one-dimensional free boundary problem -- Bifurcation analysis of a non |
linear free boundary problem from plasma physics -- Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems -- Boundary layers in large scale ocean circulation -- Asymptotic methods for the Volterra-Lotka | |
equations -- Small random perturbations of dynamical systems with applications in population genetics -- The description of jumps between Kepler orbits by boundary layer methods -- The 1:2:1-resonance, its periodic orbits and integrals | |
-- Approximations of higher order resonances with an application to Contopoulos' model problem -- On the asymptotic validity of perturbation methods for hyperbolic differential equations | |
ISBN: | 9783540353324 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 711 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1979-9781468473223:ONLINE Show nearby items on shelf |
Title: | Introduction to Population Modeling |
Author(s): |
James C Frauenthal |
Date: | 1979 |
Size: | 1 online resource (186 p.) |
Note: | 10.1007/978-1-4684-7322-3 |
Contents: | 1. Simple Single Species Population Models -- 2. Stochastic Birth and Death Processes -- 3. A Two Age Group Population Model -- 4. Time Delayed Logistic Equations -- 5. Population Growth in a Time-Varying Environment -- 6. Stable |
Points, Stable Cycles and Chaos -- 7. Introduction to Two Species Models: Predator-Prey -- 8. Competition and Mutualism -- 9. Quadratic Two-Species Population Models -- 10. Three Species Competition -- 11. Complexity vs. Stability -- | |
12. Solutions to Problems | |
ISBN: | 9781468473223 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical models , Biomathematics , Mathematics , Genetics and Population Dynamics , Mathematical Modeling and Industrial Mathematics , Mathematical and Computational Biology |
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Call number: | SPRINGER-1978-9783540358688:ONLINE Show nearby items on shelf |
Title: | Nonlinear Partial Differential Equations and Applications Proceedings of a Special Seminar Held at Indiana University, 1976–1977 |
Author(s): | |
Date: | 1978 |
Size: | 1 online resource (212 p.) |
Note: | 10.1007/BFb0066404 |
Contents: | Euler equation and burger equation — Relation with turbulence -- Asymptotic behavior of a model in population genetics -- A minimax principle and applications to elliptic partial differential equations -- The existence of periodic |
water waves -- An application of the Nash-moser theorem to a free boundary problem -- Singularities in non-linear waves of Klein-Gordon type -- Bifurcations of dynamical systems and nonlinear oscillations in engineering systems | |
ISBN: | 9783540358688 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 648 |
Keywords: | Mathematics , Mathematics , Mathematics, general |
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Call number: | SPRINGER-1978-9783540357568:ONLINE Show nearby items on shelf |
Title: | Journées d’Analyse Non Linéaire Proceedings, Besançon, France, June 1977 |
Author(s): | |
Date: | 1978 |
Size: | 1 online resource (256 p.) |
Note: | 10.1007/BFb0061794 |
Contents: | Convergence de fonctionnelles convexes -- Two examples in nonlinear elasticity -- Sur certaines equations quasi-lineaires de type «Divergentielle» d’ordre arbitraire -- Homogeneisation des plaques a structure périodique en théorie non |
linéaire de Von Karman -- Application au calcul des variations de l’optimisation integrale convexe -- Sur certains problemes de dirichlet fortement non lineaires a la resonance -- Perturbations non lineaires de problemes lineaires a la | |
resonance: existence de multiples solutions -- Echelle d’espaces intermediaires entre un espace de Sobolev - Orlicz et un espace d’Orlicz trace d’espaces de Sobolev - Orlicz avec poids -- Sur l’existence de la solution reguliere de | |
l’inequation quasi-variationnelle non lineaire du controle optimal impulsionnel et continu -- On the navier-stokes equations in a domain with the moving boundary -- A nonlinear eigenvalue problem occurring in population genetics -- Un | |
probleme de valeur propre non lineaire et de frontiere libre -- Regularite de la solution d’une equation non lineaire dans ?N -- Une nouvelle methode de resolution d’equations aux derivees partielles non lineaires -- Strongly nonlinear | |
elliptic equations | |
ISBN: | 9783540357568 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 665 |
Keywords: | Mathematics , Mathematics , Mathematics, general |
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Call number: | SPRINGER-1978-9783540355564:ONLINE Show nearby items on shelf |
Title: | Measure Theory Applications to Stochastic Analysis Proceedings, Oberwolfach Conference, Germany, July 3–9, 1977 |
Author(s): | |
Date: | 1978 |
Size: | 1 online resource (266 p.) |
Note: | 10.1007/BFb0062649 |
Contents: | Arret optimal previsible -- Stochastic integration with respect to hilbert valued martingales, representation theorems and infinite dimensional filtering -- Quelques resultats sur certaines mesures extremales. Applications a la |
representation des martingales -- Nonlinear semigroups in the control of partially-observable stochastic systems -- Optimal control of stochastic systems in a sphere bundle -- Optimal filtering of infinite-dimensional stationary | |
signals -- On the theory of markovian representation -- Likelihood ratios with gauss measure noise models -- Realizing a weak solution on a probability space -- A class of measure-valued markov processes -- Diffusion operators in | |
population genetics and convergence of Markov chains -- Equivalence problem on gaussian N-ple markov processes with multiplicity N -- Note on freidlin-wentzell type estimates for stochastic processes -- White noise and Lévy's | |
functional analysis -- Gaussian processes: Nonlinear analysis and stochastic calculus -- Commutative wick algebras II. Square integrable martingale algebras and Ito algebras -- On the radon-nikodym theorem for operator measures and its | |
applications to prediction and linear systems theory -- On subordination of decomposable fields -- On the stability and growth of real noise parameter-excited linear systems -- On the integration of sequences of moments' equations in | |
the stability theory of stochastic systems -- Representation theorems for operators and measures on abstract wiener spaces -- An example on tail fields -- On the construction of least favourable distributions | |
ISBN: | 9783540355564 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 695 |
Keywords: | Mathematics , Mathematics , Mathematics, general |
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Call number: | SPRINGER-1977-9783642930652:ONLINE Show nearby items on shelf |
Title: | Stochastic Problems in Population Genetics |
Author(s): |
Takeo Maruyama |
Date: | 1977 |
Size: | 1 online resource (248 p.) |
Note: | 10.1007/978-3-642-93065-2 |
Contents: | 1 Orientation -- 1.1 Discrete space, continuous time, random walk -- 1.2 Discrete space, discrete time -- 1.3 Circular space, continuous time -- 1.4 Continuous space, continuous time -- 1.5 Markov process -- 1.6 Dynkin’s formula -- 2 |
Population Genetics Models -- 2.1 Wright’s model -- 2.2 Feller’s model -- 2.3 Moran’s model -- 2.4 Variable population size -- 2.5 Wright’s model with mutation -- 2.6 A model of irreversible mutation or a model of infinite alleles -- | |
2.7 A selection model -- 2.8 A model of dominance -- 2.9 Birth-and-death process -- 2.10 Density or frequency dependent process -- 2.11 Time inhomogeneous process -- 2.12 A model of random environment -- 3 Classification of Boundaries | |
-- 3.1 Regular boundary -- 3.2 Exit boundary -- 3.3 Entrance boundary -- 3.4 Natural boundary -- 3.5 Nature of boundary -- 3.6 Examples -- 4 Expectation of Integration Along Sample Paths -- 4.1 Integration along sample paths -- 4.2 The | |
boundary conditions -- 4.3 An example -- 4.4 Green’s function for a pure random process -- 4.5 Computer simulation -- 4.6 Sum of heterozygotes -- 4.7 Process with reflecting boundary -- 4.8 Irreversible mutation model (or infinite | |
alleles) -- 4.9 General form of Green’s function -- 4.10 Probability of fixation -- 4.11 Behavior of sample paths near the origin -- 4.12 Higher moments -- 4.13 Nagylaki’s formula -- 5 Modification of Processes -- 5.1 Killing and | |
creating paths -- 5.2 Selection of paths -- 5.3 Random drift and fixation time -- 5.4 A case of genic selection -- 5.5 A symmetric property of sample paths -- 5.6 A general formula -- 5.7 Age of sample paths -- 5.8 Number of affected | |
individuals and genetic load -- 5.9 Sojourn time of conditional sample paths on the present-frequency -- 5.10 A conditional age -- 5.11 Computer simulation -- 5.12 Random time change -- 6 Numerical Integration of the Kolmogorov | |
Backward Equation -- 6.1 Integration method -- 6.2 Examples -- 7 Eigenvalues and Eigenvectors of the KBE -- 7.1 Eigenvalues and eigenvectors -- 7.2 Pure random drift case -- 7.3 Mutation and random drift case -- 7.4 Irreversible | |
mutation case -- 7.5 Hypergeometric differential equation -- 7.6 Orthogonality of eigenfunctions -- 7.7 Expansion by eigenfunctions -- 7.8 The steady-state distribution of gene frequencies -- 8 Approximation Methods -- 8.1 Perturbation | |
-- 8.2 Examples -- 8.3 Numerical method -- 8.4 Singular perturbation -- 9 Geographical Structure of Populations -- 9.1 One-dimensional populations, discrete colonies -- 9.2 Continuous space -- 9.3 Two-dimensional populations -- 9.4 | |
Two-dimensional continuous space -- 9.5 Higher order moments -- 9.6 Numerical analysis at equilibrium -- 9.7 A differential equation and asymptotic formulae -- 9.8 Random drift -- 9.9 Time to fixation -- 10 Geographically Invariant | |
Properties -- 10.1 Discrete time model -- 10.2 Continuous time model -- 10.3 Markov process -- 10.4 Diffusion method -- 10.5 Computer simulation of gene frequency change -- 10.6 Invariance based on diffusion method -- 10.7 Computer | |
simulation of heterozygote distribution and other invariant properties -- 11 Gene Frequency Distributions and Random Drift in Geographically Structured Populations -- 11.1 Gene frequency distribution (global) in a structured population | |
-- 11.2 Distribution of local gene frequencies -- 11.3 Random drift in a structured population -- 12 Some Special Problems -- 12.1 Variance of homozygote probability for the infinite neutral allele model -- 12.2 Variance of homozygote | |
probability in a geographically structured population -- 12.3 Number of alleles -- 12.4 Some properties of the stepwise mutation model -- A1.1 Mutation model I -- A1.2 Mutation model II -- A1.3 Derivation of Kolmogorov backward | |
equations (KBE) -- Appendix II A Supplementary Note on the Existence and Uniqueness of the Solution for the Recurrence Equation (9.7) -- Appendix III Distribution of Stochastic Integrals -- References | |
ISBN: | 9783642930652 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 17 |
Keywords: | Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Mathematics, general |
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Call number: | SPRINGER-1976-9783540379669:ONLINE Show nearby items on shelf |
Title: | Proceedings of the Third Japan — USSR Symposium on Probability Theory |
Author(s): | |
Date: | 1976 |
Size: | 1 online resource (728 p.) |
Note: | 10.1007/BFb0077479 |
Contents: | Some limit theorems for a queueing system with absolute priority in heavy traffic -- On certain problems of uniform distribution of real sequences -- Norms of Gaussian sample functions -- On a new approach to Markov processes -- Limit |
theorems for linear combinations of order statistics -- Some estimates of the rate of convergence in multidimensional limit theorems for homogeneous Markov processes -- Expectation semigroup of a cascade process and a limit theorem -- | |
Potential theory of symmetric markov processes and its applications -- Hilbert space methods in classical problems of mathematical statistics -- On the martingale aproach to statistical problems for stochastic processes with boundary | |
conditions -- Probabilities of the first exit for continuous processes with independent increments on a markov chain -- Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory -- Test of hypotheses for | |
distributions with monotone likelihood ratio: case of vector valued parameter -- Criteria of absolute continuity of measures corresponding to multivariate point processes -- Normal numbers and ergodic theory -- On multitype branching | |
processes with immigration -- Statistics of stochastic processes with jumps -- Evolution asymptotique des temps d'arrêt et des temps de séjour liés aux trajectoires de certaines fonctions aléatoires gaussiennes -- Asymptotic enlarging | |
of semi-markov processes with an arbitrary state space -- The method of accompanying infinitely divisible distributions -- Optimal stopping of controlled diffusion process -- Additive arithmetic functions and Brownian motion -- | |
Asymptotic behavior of the fisher information contained in additive statistics -- Nonlinear functionals of gaussian stationary processes and their applications -- Stationary matrices of probabilities for stochastic supermatrix -- An | |
estimate of the remainder term in the multidimensional central limit theorem -- A remark on the non-linear Dirichlet problem of branching markov processes -- Some remarks on stochastic optimal controls -- On stationary linear processes | |
with Markovian property -- Some limit theorems for the maximum of normalized sums of weakly dependent random variables -- Non-uniform estimate in the central limit theorem in a separable Hilbert space -- Generalized diffusion processes | |
-- Semifields and probability theory -- Convergence to diffusion processes for a class of Markov chains related to population genetics -- Random operators in a Hilbert space -- Bernoulli shifts on groups and decreasing sequences of | |
partitions -- On the second order asymptotic efficiencies of estimators -- On the relaxed solutions of a certain stochastic differential equation -- On limit theorems for non-critical Galton-Watson processes with EZ1logZ1=? -- | |
Construction of diffusion processes by means of poisson Point process of Brownian excursions -- Non-anticipating solutions of stochastic equations -- A stochastic maximum principle in control problems with discrete time -- Selection of | |
variables in multiple regression analysis | |
ISBN: | 9783540379669 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 550 |
Keywords: | Mathematics , Mathematics , Mathematics, general |
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Call number: | SPRINGER-1976-9783540375173:ONLINE Show nearby items on shelf |
Title: | Ordinary and Partial Differential Equations Proceedings of the Fourth Conference Held at Dundee, Scotland March 30 – April 2, 1976 |
Author(s): | |
Date: | 1976 |
Size: | 1 online resource (556 p.) |
Note: | 10.1007/BFb0087320 |
Contents: | The quenching problem for nonlinear parabolic differential equations -- On the calculus of variations and sequentially weakly continuous maps -- Bivariational bounds on ?g,?? for non-linear problems F?=O -- The spectral analysis toc = stone regular differential operator -- Bifurcation diagrams -- Walsh's theorem for the heat equation -- A new statement of Wazewski's theorem and an example -- On the absence of square-integrable solutions of the Sturm-Liouville |
equation -- On limit-point and Dirichlet-type results for second-order differential expressions -- Spectral theory of the Wirtinger inequality -- Nonlinear evolution operators and delay equations -- A singular functional differen toc = equation arising in an immunological model -- On linear partial integro differential equations with a small parameter -- Smoothness of the solution of a monotonic boundary value problem for a second order elliptic equation in a g toc = convex domain -- On the method of strained coordinates -- Nonlinear diffusion equations in biology -- Discrete dissipative processes -- Integrating a differential equation with a weak* continuous vector field -- On asymptotic | |
integration -- Existence globale des solutions de queliques problemes aux limites -- Singular perturbation problems for a class of singular partial differential equations -- On the limit-n classification of ordinary differential | |
operators with positive coefficients -- On the non-convergence of successive approximations in the theory of ordinary differential equations -- Comments on nonlinear elasticity and stability -- A Mikusinski calculus for the besse toc = operator B? -- An oscillation theory for fourth order differential equations -- Pointwise error bounds for the eigenfunctions of one-dimensional Schrödinger operators -- Stability of shock waves -- Remarks on L2 solutions -- Reg toc = varying functions and differential equations -- Projection methods for linear and nonlinear systems of partial differential equations -- New results on strongly coupled systems of parabolic differential equations -- On a nonlinea toc = diffusion equation arising in population genetics -- A generalization of the Flaschka-Leitman theorem -- Hilbert's projective metric applied to a class of positive operators -- A limit-point criterion for ?(py?)?+qy -- Nonsymmetr toc = dirac distributions in scattering theory -- A maximum principle for a class of functionals in nonlinear dirichlet problems -- Global methods for the construction of convergent sequences of bounds for systems of ordinary initial v toc = problems -- Bifurcation from a multiple eigenvalue -- Another approach to the Dirichlet problem for very strongly nonlinear elliptic equations -- Global estimates for non-linear wave equations and linear wave equations with non-l toc = boundary constraints -- Difference approximations for some pseudodifferential equations in Rn -- Remarks to Galerkin and least squares methods with finite elements for general elliptic problems -- Boundary-value problems with | |
discontinuous non-linearities -- On an elliptic singular perturbation problem -- Über die Existenz von Lösungen der Differentialgleichung u?=f(u) in einer abgeschlossenen Menge, wenn f eine k-Mengenkontraktion ist -- Bemerkunge toc = Verwendung der Pfaffschen Formen bei der Definition der absoluten Temperatur nach Carathéodory -- On the eigenvalues of linear autonomous differential delay equations -- An explicit St. Venant's principle in three-dimensional | |
elasticity -- Trace class methods for scattering in a homogeneous electro-static field -- Eigenvalue problems for free vibrations of rectangular elastic plates with random inhomogeneities -- Limit point conditions for powers -- | |
Addendum to limit point conditions for powers | |
ISBN: | 9783540375173 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 564 |
Keywords: | Mathematics , Differential equations , Partial differential equations , Mathematics , Ordinary Differential Equations , Partial Differential Equations |
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Call number: | SPRINGER-1975-9783540374817:ONLINE Show nearby items on shelf |
Title: | Probabilistic Methods in Differential Equations Proceedings of the Conference Held at the University of Victoria, August 19–20, 1974 |
Author(s): | |
Date: | 1975 |
Size: | 1 online resource (162 p.) |
Note: | 10.1007/BFb0068574 |
Contents: | Stochastic parallel displacement -- Diffusion processes in bounded domains and singular perturbation problems for variational inequalities with Neumann boundary conditions -- Elliptic estimates and diffusions in Riemannian geometry |
and complex analysis -- Stochastic differentials and quasi-standard random variables -- A random product of markovian semi-groups of operators -- Large deviations for Markov processes and the asymptotic evaluation of certain Markov | |
process expectations for large times -- Random evolutions -- An application of branching random fields to genetics -- Relativistic brownian motion -- Asymptotics and limit theorems for the linearized boltzmann equation -- Dual | |
multiplicative operator functionals | |
ISBN: | 9783540374817 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 451 |
Keywords: | Mathematics , Difference equations , Functional equations , Differential equations , Mathematics , Difference and Functional Equations , Ordinary Differential Equations |
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Call number: | SPRINGER-1975-9783540374404:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations and Related Topics Ford Foundation Sponsored Program at Tulane University, January to May, 1974 |
Author(s): | |
Date: | 1975 |
Size: | 1 online resource (398 p.) |
Note: | 10.1007/BFb0070592 |
Contents: | List of participants -- Preface -- Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation -- A new method in the study of subsonic flows -- Interpolation classes for monotone operators -- Singular |
nonlinear integral equations of Hammerstein type -- The lefschetz fixed point theorem and asymptotic fixed point theorems -- L p decay rates, p bit (??), and energy decay in nonbicharacteristic cones for first order hyperbolic systems | |
-- The dirichlet problem for nonlinear elliptic equations: A hilbert space approach -- Exact controllability of linear systems in infinite dimensional spaces -- On the statistical study of the Navier-Stokes equations -- Asymptotic | |
behavior of solutions to the quasilinear wave equation -- Inverse problems for nonlinear random systems -- The method of transmutations -- Stochastic solutions of hyperbolic equations -- Remarks on some new nonlinear boundary value | |
problems -- Semilinear wave equations -- Lecture #1. Five problems: An introduction to the qualitative theory of partial differential equations -- Lecture #2. The mathematical theory of crushed ice -- Lecture #3. Scattering by many | |
tiny obstacles | |
ISBN: | 9783540374404 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 446 |
Keywords: | Mathematics , Mathematics , Mathematics, general |
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Call number: | SPRINGER-1974-9783642884153:ONLINE Show nearby items on shelf |
Title: | The Genetic Structure of Populations |
Author(s): |
Albert Jacquard |
Date: | 1974 |
Size: | 1 online resource (572 p.) |
Note: | 10.1007/978-3-642-88415-3 |
Contents: | The Individual -- The Population -- General Bibliography -- 1 Basic Facts and Concepts -- 1. The Foundations of Genetics -- 2. Basic Concepts and Notation. Genetic Structure of Populations and of Individuals -- 2 A Reference Model: |
Absence of Evolutionary Factors -- 3. The Hardy-Weinberg Equilibrium for one Locus -- 4. The Equilibrium for Two Loci -- 5. The Inheritance of Quantitative Characters -- 6. Genetic Relationships between Relatives -- 7. Overlapping | |
Generations -- 3 The Causes of Evolutionary Changes in Populations -- 8. Finite Populations -- 9. Deviations from Random Mating -- 10. Selection -- 11. Mutation -- 12. Migration -- 13. The Combined Effects of Different Evolutionary | |
Forces -- 4 The Study of Human Population Structure -- 14. Genetic Distance. I. Basic Concepts and Methods -- 15. Genetic Distance. II. The Representation of Sets of Objects -- 16. Some Studies of Human Populations -- Conclusion -- | |
Appendix A. Linear Difference Equations -- 1. Definitions -- 2. The Solution of Linear Difference Equations -- Appendix B. Some Definitions and Results in Matrix Algebra -- 1. Definitions -- 1.1. Types of Matrix -- 1.2. The Determinant | |
of a Matrix -- 1.3. Matrix Addition and Multiplication -- 2. Diagonalisation of a Square Matrix -- 2.1. The Powers of a Matrix -- 2.2. The Eigenvalues of a Matrix -- 3. The Spectral Analysis of a Matrix -- 4. Real Symmetric Matrices -- | |
4.1. The Eigenvalues of a Real Symmetric Matrix are all Real -- 4.2. The Eigenvectors of a Real Symmetric Matrix Corresponding to Distinct Eigenvalues are Orthogonal -- 5. Stochastic Matrices -- 5.1. The Eigenvalues of Stochastic | |
Matrices -- 5.2. The Spectral Analysis of a Stochastic Matrix -- References | |
ISBN: | 9783642884153 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Biomathematics: 5 |
Keywords: | Mathematics , Business , Management science , Mathematics , Mathematics, general , Business and Management, general |
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Call number: | SPRINGER-1970-9783642462443:ONLINE Show nearby items on shelf |
Title: | Mathematical Topics in Population Genetics |
Author(s): | |
Date: | 1970 |
Size: | 1 online resource (400 p.) |
Note: | 10.1007/978-3-642-46244-3 |
Contents: | Random Drift and the Shifting Balance Theory of Evolution -- Changes in Mean Fitness under Natural Selection -- Models and Analyses of Dispersal Patterns -- Avoidance and Rate of Inbreeding -- Genetic Loads and the Cost of Natural Selection -- Stoc hastic Processes in Population Genetics, with Special Reference to Distribution of Gene Frequencies and Probability of Gene Fixation -- Theory of Limits to Selection with Line Crossing -- A Theory of Limits in Artificial Selection with Many Linked Loci -- The Evolution of Dominance -- Survival of Mutant Genes as a Branching Process -- The Incomplete Binomial Distribution -- Evolutionary Significance of Linkage and Epistasis -- Fitness and Optimization |
ISBN: | 9783642462443 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Biomathematics: 1 |
Keywords: | Mathematics , Biomathematics , Mathematics , Genetics and Population Dynamics |
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