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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-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-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-2011-9780857291158: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-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-2010-9783642111563:ONLINE Show nearby items on shelf |
Title: | Workshop on Branching Processes and Their Applications [electronic resource] |
Author(s): |
Miguel Gonzlez Velasco Ins M Puerto Rodrigo Martnez Manuel Molina Manuel Mota Alfonso Ramos |
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 volume contains papers presented at the Workshop on Branching Processes and Their Applications (WBPA09). These papers deal with theoretical and practical aspects of branching process theory, showing it to be an area of activeand interesting rese arch. They clearly indicate the vitality of the theoretical research on this topic, as well as the importance of branching concepts in the development of theoretical approaches to solving new problems in appliedfields such as Epidemiology, Cell Kinetics, Genetics, and, of course, Population Dynamics. The topics covered by the papers have been classified into the following areas: Population Growth Models in Random and Varying EnvironmentsSpecial Branching Processes Limit Theorems and Statistics Application s in Cell Kinetics and Genetics Applications in Epidemiology Two-Sex Branching Models This book represents a valuable reference on the contemporary branchingprocesses theory, presenting also many open problems which will lead to future research |
Note: | Springer eBooks |
ISBN: | 9783642111563 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Statistics, 0930-0325 : v197 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Distribution (Probability theory) , Mathematical statistics |
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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-2008-9783540743316: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-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-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-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-2003-9783034880855: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-2003-9780387217611: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-2002-9780387215716: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-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-1992-9783642762147:ONLINE Show nearby items on shelf |
Title: | Introduction to Theoretical Population Genetics |
Author(s): |
Thomas Nagylaki |
Date: | 1992 |
Size: | 1 online resource (369 p.) |
Note: | 10.1007/978-3-642-76214-7 |
Contents: | 1. Introduction -- 2. Asexual Haploid Populations -- 2.1 Selection -- 2.2 Mutation and Selection -- 2.3 Migration and Selection -- 2.4 Continuous Model with Overlapping Generations -- 2.5 Random Drift -- 2.6 Problems -- 3. Panmictic |
Populations -- 3.1 The Hardy-Weinberg Law -- 3.2 X-Linkage -- 3.3 Two Loci -- 3.4 Population Subdivision -- 3.5 Genotypic Frequencies in a Finite Population -- 3.6 Problems -- 4. Selection at an Autosomal Locus -- 4.1 Formulation for | |
Multiple Alleles -- 4.2 Dynamics with Two Alleles -- 4.3 Dynamics with Multiple Alleles -- 4.4 Two Alleles with Inbreeding -- 4.5 Variable Environments -- 4.6 Intra-Family Selection -- 4.7 Maternal Inheritance -- 4.8 Meiotic Drive -- | |
4.9 Mutation and Selection -- 4.10 Continuous Model with Overlapping Generations -- 4.11 Density and Frequency Dependence -- 4.12 Problems -- 5. Nonrandom Mating -- 5.1 Selfing with Selection -- 5.2 Assortative Mating with Multiple | |
Alleles and Distinguishable Genotypes -- 5.3 Assortative Mating with Two Alleles and Complete Dominance -- 5.4 Random Mating with Differential Fertility -- 5.5 Self-Incompatibility Alleles -- 5.6 Pollen and Zygote Elimination -- 5.7 | |
Problems -- 6. Migration and Selection -- 6.1 The Island Model -- 6.2 General Analysis -- 6.3 The Levene Model -- 6.4 Two Diallelic Niches -- 6.5 Problems -- 7. X-Linkage -- 7.1 Formulation for Multiallelic Selection and Mutation -- | |
7.2 Selection with Two Alleles -- 7.3 Mutation-Selection Balance -- 7.4 Weak Selection -- 7.5 Problems -- 8. Two Loci -- 8.1 General Formulation for Multiple Loci -- 8.2 Analysis for Two Multiallelic Loci -- 8.3 Two Diallelic Loci -- | |
8.4 Continuous Model with Overlapping Generations -- 8.5 Problems -- 9. Inbreeding and Random Drift -- 9.1 The Inbreeding Coefficient -- 9.2 Calculation of the Inbreeding Coefficient from Pedigrees -- 9.3 Identity Relations Between | |
Relatives -- 9.4 Phenotypic Effects of Inbreeding -- 9.5 Regular Systems of Inbreeding -- 9.6 Panmixia in Finite Populations -- 9.7 Heterozygosity under Mutation and Random Drift -- 9.8 The Inbreeding Effective Population Number -- 9.9 | |
The Model for Random Drift of Gene Frequencies -- 9.10 Random Drift of Gene Frequencies -- 9.11 Gene-Frequency Change due to Mutation and Random Drift -- 9.12 The Island Model -- 9.13 The Variance Effective Population Number -- 9.14 | |
Problems -- 10. Quantitative Genetics -- 10.1 The Decomposition of the Variance with Panmixia -- 10.2 The Correlation Between Relatives with Panmixia -- 10.3 The Change in Variance due to Assortative Mating -- 10.4 The Correlation | |
Between Relatives with Assortative Mating -- 10.5 Selection -- 10.6 Mutation-Selection Balance -- 10.7 Problems -- References -- Author Index | |
ISBN: | 9783642762147 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Biomathematics: 21 |
Keywords: | Life sciences , Bioinformatics , Computational biology , Biomathematics , Life Sciences , Computer Appl. in Life Sciences , Mathematical and Computational Biology |
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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-1990-9783642516528: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-1988-9789400930230:ONLINE Show nearby items on shelf |
Title: | Toward a Theory on Biological-Physical Interactions in the World Ocean |
Author(s): | |
Date: | 1988 |
Size: | 1 online resource (658 p.) |
Note: | 10.1007/978-94-009-3023-0 |
Contents: | Scale Upwelling and Primary Production -- On Regulation of Primary Production By Physical Processes The Ocean: Two Case Studies -- Lagrangian Simulation of Primary Production in the Physical Environment — The Deep Chlorophyll Maximum |
and Nutricline -- Oceanographic Criteria for New Phytoplankton Production -- Horizontal and Seasonal Variation of Density and Chlorophyll Profiles between the Azores and Greenland -- Seasonal or Aperiodic Cessation of Oligotrophy in | |
the Tropical Pacific Ocean -- The Deep Phaeopigments Maximum in the Ocean: Reality or Illusion? -- Food Chains and Fisheries: An Assessment After 20 Years -- Recruitment Dependence on Planktonic Transport in Coastal Waters -- | |
Space-Time Aspects in the Dynamics of Planktonic Stages -- Review of Oceanic Turbulence: Implications for Biodynamics -- The Northerly Wind -- Influence of Temporal Characteristics of Physical Phenomena on Plankton Dynamics, as Shown | |
by North-West European Marine Ecosystems -- Spatial and Temporal Discontinuities of Biological Processes in Pelagic Surface Waters -- Production and Distribution of Nauplii and Recruitment Variability - Putting the Pieces Together -- | |
Modelling of the Recruitment of Marine Species -- Simulation Studies of Fish Larval Survival -- The “Recruitment Problem” for Marine Fish Populations with Emphasis on Georges Bank -- Environmental Factors, Genetic Differentiation, and | |
Adaptive Strategies in Marine Animals -- A Molecular Approach to Recruitment Problems: Genetics and Physiology -- The Replacement Concept in Stock Recruitment Relationship -- Large Marine Ecosystems as Global Units for Recuitment | |
Experiments -- Why Study Fish Population Recruitment? -- Zooplankton — The Connecting Link: A Historical Perspective -- Scale Selection for Biodynamic Theories -- Biodynamics of the Sea: The Ecology of High Dimensionality Systems -- | |
Bringing Physical and Biological Observations into Harmony -- Recent Advances and Future Directions in Multi-Disciplinary In Situ Oceanographic Measurement Systems -- Novel Applications of Acoustic Backscatter to Biological | |
Measurements -- List of Participants -- List of Contributors | |
ISBN: | 9789400930230 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series C: Mathematical and Physical Sciences: 239 |
Keywords: | Physics , Biophysics , Biological physics , Physics , Biophysics and Biological Physics |
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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-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-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-1981-9783642680380:ONLINE Show nearby items on shelf |
Title: | Stochastic Nonlinear Systems in Physics, Chemistry, and Biology Proceedings of the Workshop Bielefeld, Fed. Rep. of Germany, October 5–11, 1980 |
Author(s): | |
Date: | 1981 |
Size: | 1 online resource (240 p.) |
Note: | 10.1007/978-3-642-68038-0 |
Contents: | I. Introduction: From Deterministic to Stochastic Behavior -- On the Foundations of Kinetic Theory -- Transition Phenomena in Nonlinear Systems -- II. Approximation of Stochastic Processes -- Approximation of Discontinuous Processes |
by Continuous Processes -- On the Asymptotic Behavior of Motions in Random Flows -- III. Description of Internal Fluctuations -- Some Aspects of Fluctuation Theory in Nonequilibrium Systems -- Aspects of Classical and Quantum Theory of | |
Stochastic Bistable Systems -- Kinetics of Phase Separation -- Chemical Instabilities and Broken Symmetry: The Hard Mode Case -- IV. Long-Term Behavior of Stochastic Systems -- Asymptotic Behavior of Several Dimensional Diffusions -- | |
Qualitative Theory of Stochastic Nonlinear Systems -- V. External Fluctuations and Noise Induced Transitions -- Noise Induced Transitions -- Noise Induced Transitions in Biological Systems -- Multiplicative Ornstein Uhlenbeck Noise in | |
Nonequilibrium Phenomena -- VI. Stochastic Behavior in Model Systems -- Weak Turbulence in Deterministic Systems -- Stochastic Problems in Population Genetics: Applications of Itô’s Stochastic Integrals -- Poisson Processes in Biology | |
-- VII. Space-Time Processes and Stochastic Partial Differential Equations -- Linear Stochastic Evolution Equation Models for Chemical Reactions -- Stochastic Measure Processes -- VIII. Phase Transitions and Irreversible Thermodynamics | |
-- Stochastic Methods in Non-Equilibrium Thermodynamics -- Fluctuation Dynamics Near Chemical Instabilities -- Transition Phenomena in Nonlinear Optics -- IX. Markov Processes and Time Reversibility -- Time-Reversibility in Dynamical | |
Systems -- List of Participants -- Index of Contributors | |
ISBN: | 9783642680380 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Synergetics: 8 |
Keywords: | Physics , Physical chemistry , Biochemistry , Probabilities , Biophysics , Biological physics , Physics , Theoretical, Mathematical and Computational Physics , Biophysics and Biological Physics , Physical Chemistry , Probability Theory and Stochastic Processes , Biochemistry, general |
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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-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-1979-9781468473223: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-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 |
Availability: | Click here to see Library holdings or inquire at
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More info: | Amazon.com |
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Full Text: | Click here |
Location: | ONLINE |
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