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Call number: | SPRINGER-2016-9783319296388:ONLINE Show nearby items on shelf |
Title: | Introduction to Mathematical Biology Modeling, Analysis, and Simulations |
Author(s): |
Ching Shan Chou |
Date: | 2016 |
Size: | 1 online resource (38 p.) |
Note: | 10.1007/978-3-319-29638-8 |
Contents: | Introduction -- Bacterial Growth in Chemostat -- System of Two Linear Differential Equations -- System of Two Differential Equations -- Predator-Prey Models -- Two Competing Populations -- General Systems of Differential Equations -- The Chemostat Model Revisited -- Spread of Disease -- Enzyme Dynamics -- Bifurcation Theory -- Atherosclerosis: The Risk of High Cholesterol -- Cancer-Immune Interaction. Cancer Therapy -- Tuberculosis -- Solutions |
ISBN: | 9783319296388 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical physics , Biomathematics , Systems biology , Biological systems , Mathematics , Mathematical and Computational Biology , Mathematical Applications in the Physical Sciences , Biological Networks, Systems Biology |
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Call number: | SPRINGER-2016-9783319288932:ONLINE Show nearby items on shelf |
Title: | Data-driven Modelling of Structured Populations A Practical Guide to the Integral Projection Model |
Author(s): |
Stephen P Ellner |
Date: | 2016 |
Size: | 1 online resource (29 p.) |
Note: | 10.1007/978-3-319-28893-2 |
Contents: | Introduction -- Simple Deterministic IPM -- Basic Analysis 1: Demographic Measures and Events in the Life Cycle -- Basic Analysis 2: Prospective Perturbation Analysis -- Density Dependence -- General Deterministic IPM -- Environmental Stochasticity -- Spatial Models -- Evolutionary Demography -- Future Directions and Advanced Topics |
ISBN: | 9783319288932 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Bioinformatics , Computational biology , Biomathematics , Mathematics , Mathematical and Computational Biology , Computer Appl. in Life Sciences |
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Call number: | SPRINGER-2016-9783319280615:ONLINE Show nearby items on shelf |
Title: | Applied Impulsive Mathematical Models |
Author(s): |
Ivanka Stamova |
Date: | 2016 |
Size: | 1 online resource (318 p.) |
Note: | 10.1007/978-3-319-28061-5 |
Contents: | Introduction.-Basic Theory -- Impulsive Biological Models -- Impulsive Models in Population Dynamics -- Impulsive Neural Networks -- Impulsive Models in Economics -- References -- Index |
ISBN: | 9783319280615 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Economics, Mathematical , System theory , Statistical physics , Mathematics , Systems Theory, Control , Nonlinear Dynamics , Mathematical Biology in General , Quantitative Finance |
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Call number: | SPRINGER-2014-9783642549595:ONLINE Show nearby items on shelf |
Title: | A Primer on Scientific Programming with Python [electronic resource] |
Author(s): |
Hans Petter Langtangen |
Date: | 2014 |
Edition: | 4th ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics,numerical calculus, st atistics, physics, biology and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageousto study classical and numerical one-variable c alculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of scienceand engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objectsand functions and embracing the object-oriented paradigm. Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python on the streets could be alittle jealous of students who have the opportunity to take a course out of Langtangens Primer. John D. Cook, The Mathematical Association of Am erica, September 2011 This book goes through Python in particular, and programmingin general, via tasks that scientists will likely perform. It contains valuable informationfor students new to scientific computing and would be the perfect bridge between a n introduction to programming and an advanced course onnumerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012 |
Contents: | Preface |
Computing with Formulas | |
Loops and Lists | |
Functions and Branching | |
User Input and Error Handling | |
Array Computing and Curve Plotting | |
Dictionaries and Strings | |
Introduction to Classes | |
Random Numbers and Simple Games | |
Object | |
Oriented Programming | |
Sequences and Difference Equations | |
Introduction to Discrete Calculus | |
Introduction to Differential Equations | |
A Complete Differential Equation Project | |
Programming of Differential Equations | |
Debugging | |
Migrating Python to Compiled Code | |
Technical Topics | |
Bibliography | |
Index | |
ISBN: | 9783642549595 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Computer science |
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Call number: | SPRINGER-2014-9783319066899:ONLINE Show nearby items on shelf |
Title: | Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics [electronic resource] |
Author(s): |
Moiss Santilln |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry, and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, thetheories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. Thelast chapters focus on applying mathematical an d physical techniques to study systems such as: gene regulatory networks and ion channels. The target audience of this book are mainly final year undergraduate and graduate students with asolid mathematical background (physicists, mathematicians, and engi neers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interestedin mathematical modeling, and have a working knowledge of calculus, differential equations, and a basic understanding of probability theory |
Contents: | Brief Introduction to Chemical Kinetics |
Brief Introduction to Thermodynamics | |
Different Approaches to Analyzing a Simple Chemical Reaction | |
Molecule Synthesis and Degradation | |
Enzymatic Reactions | |
Receltor | |
Ligand Interaction | |
Cooperativity | |
Gene Expression and Regulation | |
Ion Channel Dynamics and Ion Transport Across Memberanes | |
References | |
Index | |
ISBN: | 9783319066899 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4789 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783034808132:ONLINE Show nearby items on shelf |
Title: | Elliptic Partial Differential Equations [electronic resource] : Volume 2: Reaction-Diffusion Equations |
Author(s): |
Vitaly Volpert |
Date: | 2014 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | If we had to formulate in one sentence what this book is about it might be How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species. These and many otherapplications are described by re action-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics,biomedical modelling. The purpose of this book is to pre sent the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equationsand then to their applications. Mathematical anaylsis of reaction-diffusion eq uations will be based on the theory of Fredholm operators presented in the first volume. Existence, stability and bifurcations of solutions will be studiedfor bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered |
Contents: | I. Introduction to the theory of reaction |
diffusion equations | |
Chapter 1. Reaction | |
diffusion processes, models and applications | |
Chapter 2. Methods of analysis | |
Chapter 3. Reaction | |
diffusion problems in bounded domains | |
Chapter 4. Reaction | |
diffusion problems on the whole axis | |
II. Reaction | |
diffusion waves in cylinders | |
Chapter 5. Monotone systems | |
Chapter 6. Reaction | |
diffusion problems with convection | |
Chapter 7. Reaction | |
diffusion systems with different diffusion coefficients | |
Chapter 8. Nonlinear boundary conditions | |
Chapter 9. Nonlocal reaction | |
diffusion equations | |
Cha | |
ISBN: | 9783034808132 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Monographs in Mathematics, 1017-0480 : v104 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2013-9783642381898:ONLINE Show nearby items on shelf |
Title: | Facets of Combinatorial Optimization [electronic resource] : Festschrift for Martin Grtschel |
Author(s): |
Michael Jnger Gerhard Reinelt |
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: | Martin Grtschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday onSeptember 10, 2013. Martin G rtschels doctoral descendant tree 19832012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren, and 2 great-great-grandchildren, a total of 139 doctoraldescendants. This book starts with a personal tribute to Martin G rtschel by the editors (Part I), a contribution by his very special predecessor Manfred Padberg on Facets and Rank of Integer Polyhedra (Part II), and thedoctoral descendant tree 19832012 (Part III). The core of this book (Part IV) contains 16 contributio ns, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions tothe theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimiza tion, superclasses of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclicgraphs, and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new t heoretical insights with algorithms and experiments deal with network designproblems, combinatorial optimization problems with submodular objective functions, and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design,mean-risk optimization, and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-inte ger linear optimization forscheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed-integer li |
Note: | Springer eBooks |
Contents: | Martin Grtschel |
a tribute: M.Jnger and G.Reinelt | |
Facets and rank of integer polyhedra:M.Padberg | |
Constructing extended formulations from reflection relations:V.Kaibel and K.Pashkovich | |
Exact algorithms for combinatorial optimization problems with submodular objective functions: F.Baumann, S.Berckey, and C.Buchheim | |
Solving k | |
way graph partitioning problems to optimality: The impact of semidefinite relaxations and the bundle method: M.F. Anjos, B.Ghaddar, L.Hupp, F.Liers and A.Wiegele | |
Mirror | |
descent methods in mixed | |
integer convex optimization: M.Baes, T.Oertel, Ch.Wagner | |
ISBN: | 9783642381898 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Algorithms , Mathematical optimization |
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Call number: | SPRINGER-2013-9783642275555:ONLINE Show nearby items on shelf |
Title: | Differential-Algebraic Equations: A Projector Based Analysis [electronic resource] |
Author(s): |
Ren Lamour Roswitha Mrz Caren Tischendorf |
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: | Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In thisrelatively short tim e, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemicalkinematics, mechanical engineering and syste ms biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential forthe future mathematical modeling of complex coupled processes. The purpose ofthe book is to expose the impressive complexity of general DAEs fro m an analytical point of view, to describe the state of the art as well as open problems andin sodoing to motivate further researchof this versatile,extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structu ral analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of specialprojector functions. Some issues on numerical integration and computational aspects are also treated in this context |
Note: | Springer eBooks |
Contents: | Notations |
Introduction | |
Part I. Projector based approach | |
1 Linear constant coefficient DAEs | |
.2 Linear DAEs with variable coefficients | |
3 Nonlinear DAEs | |
Part II. Index | |
1 DAEs: Analysis and numerical treatment | |
4 Analysis | |
5 Numerical integration | |
6 Stability issues | |
Part III. Computational aspects | |
7 Computational linear algebra aspects | |
8 Aspects of the numerical treatment of higher index DAEs | |
Part IV. Advanced topics | |
9 Quasi | |
regular DAEs | |
10 Nonregular DAEs | |
11 Minimization with constraints described by DAEs | |
12 Abstract differential algebraic equations | |
ISBN: | 9783642275555 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Differential-Algebraic Equations Forum |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Computer science Mathematics |
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Call number: | SPRINGER-2013-9781461451280:ONLINE Show nearby items on shelf |
Title: | Distance Geometry [electronic resource] : Theory, Methods, and Applications |
Author(s): |
Antonio Mucherino Carlile Lavor Leo Liberti Nelson Maculan |
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: | Distance Geometry:Theory, Methods, and Applications is the first collection of research surveys dedicated to distance geometry and its applications. The first part of the book discusses theoretical aspects of the DistanceGeometry Problem (DGP), where the relation between DGP and other related subjects are also presented. Covered topics include distance matrix theory, Euclidean distance matrix completion, multispherical structure of distance matrices,geometric algebra, algebraic distance geometry theo ry, visualization of K-dimensional structures in the plane, graph rigidity, and theory of discretizable DGP. The second part of this volume presents mathematical and computationalproperties of methods developed to the problems discussed in the first porti on, including continuous methods (based on Gaussian and hyperbolic smoothing, difference of convex functions, semidefinite programming, branch-and-bound),discrete methods (based on branch-and-prune, geometric build-up, graph rigidity), and also heuristics methods (based on simulated annealing, genetic algorithms, tabu search, variable neighborhood search). Applications comprise thethird part of the book, which is mainly devoted to the application of DGP to NMR structure calculation. This is an important a nd strongly multidisciplinary application in biology and biomedicine |
Note: | Springer eBooks |
Contents: | Preface |
1. Universal Rigidity of Bar Frameworks in General Position (A. Alfakih) | |
2. Mixed Volume and Distance Geometry Techniques for Counting Euclidean Embeddings of Rigid Graphs (I. Emiris, E. Tsigaridas, A. Varvitsiotis) | |
3. (The discretizable molecular distance Geometry Problem Seems Easier on Proteins (L. Liberti, C. Lavor, A. Mucherino) | |
4. Spheres Unions and Intersections and Some of Their Applications in Molecular Modeling (M. Petitjean) | |
5. Is the Distance Geometry Problem in NP? (N. Beeker, S. Gaubert, C. Glusa, L. Liberti) | |
6. Solving Spatial Constraints with Generaliz | |
ISBN: | 9781461451280 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Visualization , Geometry |
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Call number: | SPRINGER-2013-9781441979971:ONLINE Show nearby items on shelf |
Title: | Handbook of Combinatorial Optimization [electronic resource] |
Author(s): |
Panos M Pardalos Ding-Zhu Du Ronald L Graham |
Date: | 2013 |
Edition: | 2nd ed. 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: | The second edition of this 5-volume handbook is intended to be a basic yet comprehensive reference work in combinatorial optimization that will benefit newcomers and researchers for years to come. This multi-volumework dealswith several algorithmic a pproaches for discrete problems as well as with many combinatorial problems. The editors have brought together almost every aspect of this enormous field of combinatorial optimization, an area of research atthe intersection of applied mathematics, compute r science, and operations research and which overlaps with many other areas such as computation complexity, computational biology, VLSI design, communications networks, and managementscience. Aninternational team of 30-40 experts in the field form the edi torial board. The Handbook of Combinatorial Optimization, second edition is addressed to all scientists who use combinatorial optimization methods to model andsolve problems. Experts in the field as well as non-specialists will find the material stimulati ng and useful |
Note: | Springer eBooks |
Contents: | Introduction |
Part 1. General Methodology | |
Analysis of Greedy Approximations | |
Guillotine Partition in Geometric Optimization | |
Mixed | |
Integer Nonlinear Optimization in Process Synthesis | |
Connection between Nonlinear Programming and Discrete Optimization | |
Interior Point Methods for Combinatorial Optimization | |
Fractional Combinatorial Optimization | |
Reformulation | |
Linearization Techniques for Discrete Optimization Problems | |
Grobner Bases in Integer Programming | |
Dynamical System Approaches to Combinatorial Optimization | |
Semidefinite Relaxation, Multivariate Norma Distribution an | |
ISBN: | 9781441979971 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Mathematical optimization |
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Call number: | SPRINGER-2012-9789491216473:ONLINE Show nearby items on shelf |
Title: | Stochastic Differential Games. Theory and Applications [electronic resource] |
Author(s): |
Kandethody M Ramachandran Chris P Tsokos |
Date: | 2012 |
Publisher: | Paris : Atlantis Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Conflicts in the form of wars, or competition among countries and industrial institutions are plenty in human history. The introduction of game theory in the middle of the twentieth century shed insights and enabled researchers toanalyze this subject with mathematical rigor. From the ground-breaking work of VonNeumann and Morgenston, modern game theory evolved enormously. In the last few decades, Dynamic game theory framework has been deepened and generalizedfrom the pioneering work on differential g ames by R. Isaacs, L.S. Pontryagin and his school, and on stochastic games by Shapley. This book will expose the reader to some of the fundamental methodology in non-cooperative game theory,and highlight some numerical methods, along with some relevant ap plications. Since the early development days, differential game theory has had a significant impact in such diverse disciplines as applied mathematics, economics, systemstheory, engineering, operations, research, biology, ecology, environmental sciences, among others. Modern game theory now relies on wide ranging mathematical and computational methods, and relevant applications that are rich andchallenging. Game theory has been widely recognized as an important tool in many fields. Importance of game theo ry to economics is illustrated by the fact that numerous game theorists, such as John Forbes Nash, Jr., Robert J. Aumannand Thomas C. Schelling, have won the Nobel Memorial Prize in Economics Sciences. Simply put, game-theory has the potential to reshape the analysis of human interaction |
Note: | Springer eBooks |
Contents: | Introduction, Survey and Background Material |
Stochastic Linear Pursuit | |
Evasion Game | |
Two Person Zero | |
Sum Differential Games | |
General Case | |
Formal Solutions for Some Classes of Stochastic Linear Pursuit | |
N | |
Person Noncooperative Differential Games | |
Weak Convergence in Two Player Stochastic Differential Games | |
Weak Convergence in Many Player Games | |
Some Numerical Methods | |
Applications to Finance | |
ISBN: | 9789491216473 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Atlantis Studies in Probability and Statistics, 1879-6893 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Economics, Mathematical |
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Call number: | SPRINGER-2012-9783642223686:ONLINE Show nearby items on shelf |
Title: | Stochastic Differential Equations and Processes [electronic resource] : SAAP, Tunisia, October 7-9, 2010 |
Author(s): |
Mounir Zili Darya V Filatova |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Selected papers submitted by participants of the international Conference Stochastic Analysis and Applied Probability 2010 ( www.saap2010.org ) make up the basis of this volume. The SAAP 2010 was held in Tunisia, from 7-9October, 2010, and was organi zed by the Applied Mathematics & Mathematical Physics research unit of the preparatory institute to the military academies of Sousse (Tunisia), chaired by Mounir Zili. The papers cover theoretical,numerical and applied aspects of stochastic processes and stochastic differential equations. The study of such topic is motivated in part by the need to model, understand, forecast and control the behavior of many natural phenomenathat evolve in time in a random way. Such phenomena appear in the fields of financ e, telecommunications, economics, biology, geology, demography, physics, chemistry, signal processing and modern control theory, to mention just a few.As this book emphasizes the importance of numerical and theoretical studies of the stochastic differenti al equations and stochastic processes, it will be useful for a wide spectrum of researchers in applied probability, stochasticnumerical and theoretical analysis and statistics, as well as for graduate students. To make it more complete and accessible for graduate students, practitioners and researchers, the editors Mounir Zili and Daria Filatova have includeda survey dedicated to the basic concepts of numerical analysis of the stochastic differential equations, written by Henri Schurz |
Note: | Springer eBooks |
Contents: | Preface |
1.H. Schurz: Basic Concepts of Numerical Analysis of Stochastic Differential Equations Explained by Balanced Implicit Theta Methods | |
2.C.A. Tudor: Kernel Density Estimation, Local Time and Chaos Expansion | |
3.W. Jedidi, J. Almhana, V. Choulakian, R. McGorman: General Shot Noise Processes and Functional Convergence to Stable Processes | |
4.C. El | |
Nouty: The Lower Classes of the Sub | |
Fractional Brownian Motion | |
5.M. Erraoui and Y. Ouknine: On the Bounded Variation of the Flow of Stochastic Differential Equation | |
6.A. Ayache, Q. Peng: Stochastic Volatility and Multifractional Bro | |
ISBN: | 9783642223686 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics, 2190-5614 : v7 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Systems theory , Distribution (Probability 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-2010-9783642046315:ONLINE Show nearby items on shelf |
Title: | Abstract Parabolic Evolution Equations and their Applications [electronic resource] |
Author(s): |
Atsushi Yagi |
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 semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equations and systems. The author has studied abstract parabolic evolution equations and their applications to nonlinear diffusion equations andsystems for more than 30 years. He gives first, after reviewing the theory of analytic semigroups, an overview of the theories of linear, semilinear and quasilinear abstract parabolic evolution equations as well as general strategiesfor constructing dynamical systems, attract ors and stable-unstable manifolds associated with those nonlinear evolution equations. In the second half of the book, he shows how to apply the abstract results to various models in the realworld focusing on various self-organization models: semiconducto r model, activator-inhibitor model, B-Z reaction model, forest kinematic model, chemotaxis model, termite mound building model, phase transition model, and Lotka-Volterracompetition model. The process and techniques are explained concretely in order to an alyze nonlinear diffusion models by using the methods of abstract evolution equations. Thus the present book fills the gaps of related titles thateither treat only very theoretical examples of equations or introduce many interesting models from Biology an d Ecology, but do not base analytical arguments upon rigorous mathematical theories |
Note: | Springer eBooks |
ISBN: | 9783642046315 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential equations, partial , Biology 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-2009-9780387894928:ONLINE Show nearby items on shelf |
Title: | Functional Equations and Inequalities with Applications [electronic resource] |
Author(s): |
Palaniappan Kannappan |
Date: | 2009 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch ofmathematics with far- reaching applications it is increasingly used to investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering. Thisself-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, andmany other basic tools in analysis. Each chapter examines a particular f amily of equations and gives an in-depth study of its applications as well as examples and exercises to support the material. The book is intended as a referencetool for any student, professional (researcher), or mathematician studying in a field where fu nctional equations can be applied. It can also be used as a primary text in a classroom setting or for self-study. Finally, it could be aninspiring entre into an active area of mathematical exploration for engineers and other scientists who would benefit from this careful, rigorous exposition |
Note: | Springer eBooks |
Contents: | Basic Equations: Cauchy and Pexider Equations |
Matrix Equations | |
Trigonometric Functional Equations | |
Quadratic Functional Equations | |
Characterization of Inner Product Spaces | |
Stability | |
Characterization of Polynomials | |
Nondifferentiable Functions | |
Characterization of Groups, Loops, and Closure Conditions | |
Functional Equations from Information Theory | |
Abel Equations and Generalizations | |
Regularity ConditionsChristensen Measurability | |
Difference Equations | |
Characterization of Special Functions | |
Miscellaneous Equations | |
General Inequalities | |
Applications | |
ISBN: | 9780387894928 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Functional analysis |
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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-2008-9783764385910:ONLINE Show nearby items on shelf |
Title: | Aspects of Mathematical Modelling [electronic resource] : Applications in Science, Medicine, Economics and Management |
Author(s): |
Roger J Hosking Ezio Venturino |
Date: | 2008 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The construction of mathematical models is an essential scientific activity. Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used toinvestigate complex sy stems that arise in many other fields. The contributors to this book demonstrate the application of mathematics to modern research topics in ecology and environmental science, health and medicine, phylogeneticsand neural networks, theoretical chemistry, e conomics and management. The reader will find some review papers outlining current research directions in hot topics such as pattern formation and applications to medicine, and more targetedresearch papers on current developments in the various discipline s included. Both should provide insight and inspiration for further work on these subjects. The extensive relevant literature cited in some of the survey expositoryarticles is another feature |
Note: | Springer eBooks |
Contents: | From the contents Mathematical Models of Pattern Formation in Planktonic Predation |
Diffusion Systems: A Review | |
Toward a General Theory of Ecosystem Stability: Plankton | |
Nutrient Interaction as a Paradigm | |
Nutrient, Non | |
Toxic Phytoplankton, Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System | |
Stability and Optimal Harvesting in a Stage Structure Predator | |
Prey Switching Strategy | |
Reducing the Emission of Pollutants in Industrial Wastewater through the Use of Membrane Bioreactors | |
Insecticidal Bt Crops under Massive Bt | |
resistant Pest Invasion: Mathematical Simulatio | |
ISBN: | 9783764385910 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Biosciences in Interaction |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Mathematics |
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Call number: | SPRINGER-2008-9783540795537:ONLINE Show nearby items on shelf |
Title: | An Introduction to Mathematics of Emerging Biomedical Imaging [electronic resource] |
Author(s): |
Habib Ammari |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the firstbook to highlight th e most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides thebasic mathematical concepts and tools for ima ge reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedicalimaging and will continue to do so. The volume is suitable for a gradua te-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging |
Note: | Springer eBooks |
Contents: | Mathematical Tools |
Biomedical Imaging Modalities | |
Preliminaries | |
Layer Potential Techniques | |
General Reconstruction Algorithms | |
Tomographic Imaging with Non | |
Diffracting Sources | |
Tomographic Imaging with Diffracting Sources | |
Biomagnetic Source Imaging | |
Anomaly Detection Algorithms | |
Small Volume Expansions | |
Imaging Techniques | |
Hybrid Imaging Techniques | |
Magnetic Resonance Electrical Impedance Tomography | |
Impediography | |
Magnetic Resonance Elastography | |
ISBN: | 9783540795537 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | MathMatiques & Applications, 1154-483X : v62 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Potential theory (Mathematics) , Biology Mathematics |
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Call number: | SPRINGER-2008-9783540783626:ONLINE Show nearby items on shelf |
Title: | Multiscale Problems in the Life Sciences [electronic resource] : From Microscopic to Macroscopic |
Author(s): |
Jacek Banasiak Mark A. J Chaplain Jacek Mikisz Vincenzo Capasso Mirosaw Lachowicz |
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 aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of ahierarchy of models of comp lex systems in the natural sciences, with a special attention to Biology and Medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between differentmathematical and scientific schools, for solving clas ses of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and spacescales, especially with respect to computational affordability. As a resul t the content has a rather general character the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory,continuum theory and game theory |
Note: | Springer eBooks |
Contents: | Preface by Vincenzo Capasso and Miroslaw Lachowicz |
Jacek Banasiak: Positivity in Natural Sciences | |
Vincenzo Capasso and Daniela Morale Rescaling Stochastic Processes: Asymptotics | |
Mark A.J. Chaplain: Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation | |
Miroslaw Lachowicz: Links Between Microscopic and Macroscopic Descriptions | |
Jacek Miekisz: Evolutionary Game Theory and Population Dynamics | |
ISBN: | 9783540783626 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1940 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Differential equations, partial , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9780817646004:ONLINE Show nearby items on shelf |
Title: | Modeling Complex Living Systems [electronic resource] |
Author(s): |
Nicola Bellomo |
Date: | 2008 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whosedynamics follow rules de termined by some organized, or even intelligent ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantumparticles. This book, on the other hand, examines t he modeling of living systems as opposed to inert systems. The author develops new mathematical methods and toolshopefully a new mathematicstoward the modeling of livingsystems. Such tools need to be far more complex than those dealing with systems of ine rt matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in theapplied sciences. The second part of the book deals with various models and applications. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in thecontext of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived modeltowards validation * Overview of presented ideas to improve existing models, with special emphasis on applications Specific topics covered include: * Mode ling of the competition between cells of an aggressive invasive agent and cellsof the immune system * Modeling of vehicular traffic flow * Modeling of swarms and crowd dynamics in complex geometric environments * Methodological aspects related to multisca le modeling of large systems viewed as interconnectedsubsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists |
Note: | Springer eBooks |
Contents: | Preface |
From Scaling and Determinism to Kinetic Theory Representation | |
Mathematical Structures of the Kinetic Theory for Active Particles | |
Additional Mathematical Structures for Modeling Complex Systems | |
Mathematical Frameworks for Discrete Activity Systems | |
Modeling of Social Dynamics and Economic Systems | |
Mathematical Modeling of Vehicular Traffic Flow Phenomena | |
Complex Biological Systems: Mutations and Immune Competition | |
Modeling Crowds and Swarms: Congested and Panic Flows | |
Additional Concepts on the Modeling of Living Systems | |
Collected Bibliography | |
Index | |
ISBN: | 9780817646004 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Mathematics , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2008-9780387790541:ONLINE Show nearby items on shelf |
Title: | Introductory Statistics with R [electronic resource] |
Author(s): |
Peter Dalgaard |
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: | R is an Open Source implementation of the S language. It works on multiple computing platforms and can be freely downloaded. R is now in widespread use for teaching at many levels as well as for practical data analysis andmethodological development. This book provides an elementary-level introduction to R, targeting both non-statistician scientists in various fields and students of statistics. The main mode of presentation is via code examples withliberal commenting of the code and the output, from t he computational as well as the statistical viewpoint. A supplementary R package can be downloaded and contains the data sets. The statistical methodology includes statisticalstandard distributions, one- and two-sample tests with continuous data, regressi on analysis, one- and two-way analysis of variance, regression analysis, analysis of tabular data, and sample size calculations. In addition, the last sixchapters contain introductions to multiple linear regression analysis, linear models in general, logi stic regression, survival analysis, Poisson regression, and nonlinear regression. In the second edition, the text and code have beenupdated to R version 2.6.2. The last two methodological chapters are new, as is a chapter on advanced data handling. The in troductory chapter has been extended and reorganized as two chapters. Exercises have been revised and answersare now provided in an Appendix. Peter Dalgaard is associate professor at the Department of Biostatistics at the University of Copenhagen and has extensive experience in teaching within the PhD curriculum at the Faculty of HealthSciences. He has been a member of the R Core Team since 1997 |
Note: | Springer eBooks |
ISBN: | 9780387790541 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics and Computing, 1431-8784 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Bioinformatics , Biology Data processing , Mathematical statistics |
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Call number: | SPRINGER-2008-9780387758398:ONLINE Show nearby items on shelf |
Title: | Simulation and Inference for Stochastic Differential Equations [electronic resource] : With R Examples |
Author(s): |
Stefano M Iacus |
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: | This book is unique because of its focus on the practical implementation of the simulation and estimation methods presented. The book will be useful to practitioners and students with only a minimal mathematical backgroundbecause of the many R progra ms, and to more mathematically-educated practitioners. Many of the methods presented in the book have not been used much in practice because the lack of an implementation in a unified framework. This bookfills the gap. With the R code included in this boo k, a lot of useful methods become easy to use for practitioners and students. An R package called sde provides functions with easy interfaces ready to be used on empirical datafrom real life applications. Although it contains a wide range of results, the book has an introductory character and necessarily does not cover the whole spectrum of simulation and inference for general stochastic differentialequations. The book is organized into four chapters. The first one introduces the subject and presents seve ral classes of processes used in many fields of mathematics, computational biology, finance and the social sciences. The secondchapter is devoted to simulation schemes and covers new methods not available in other publications. The third one focuses on pa rametric estimation techniques. In particular, it includes exact likelihood inference, approximated andpseudo-likelihood methods, estimating functions, generalized method of moments, and other techniques. The last chapter contains miscellaneous topics lik e nonparametric estimation, model identification and change point estimation. Thereader who is not an expert in the R language will find a concise introduction to this environment focused on the subject of the book. A documentation page is available at th e end of the book for each R function presented in the book.Stefano M. Iacus is associate professor of Probability and Mathematical Statistics at the University of Milan, Department of Economics, Busi |
Note: | Springer eBooks |
Contents: | Stochastic processes and stochastic differential equations |
Numerical methods for SDE | |
Parametric estimation | |
Miscellaneous topics | |
ISBN: | 9780387758398 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Statistics, 0172-7397 : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer simulation , Finance , Computer science Mathematics , Mathematical statistics , Econometrics |
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Call number: | SPRINGER-2008-9780387740751:ONLINE Show nearby items on shelf |
Title: | Model Based Inference in the Life Sciences: A Primer on Evidence [electronic resource] |
Author(s): |
David R Anderson |
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: | The abstract concept of information can be quantified and this has led to many important advances in the analysis of data in the empirical sciences. This text focuses on a science philosophy based on multiple workinghypotheses and statistical models to represent them. The fundamental science question relates to the empirical evidence for hypotheses in this seta formal strength of evidence. Kullback-Leibler information is the information lostwhen a model is used to approximate full reality. Hirotugu A kaike found a link between K-L information (a cornerstone of information theory) and the maximized log-likelihood (a cornerstone of mathematical statistics). This combinationhas become the basis for a new paradigm in model based inference. The text advoca tes formal inference from all the hypotheses/models in the a priori setmultimodel inference. This compelling approach allows a simple ranking of thescience hypothesis and their models. Simple methods are introduced for computing the likelihood of model i, given the data the probability of model i, given the data and evidence ratios. These quantities represent a formal strengthof evidence and are easy to compute and understand, given the estimated model parameters and associated quantities (e.g., residual sum of squares, maximized log-likelihood, and covariance matrices). Additional forms of multimodelinference include model averaging, unconditional variances, and ways to rank the relative importance of predictor variables. This textbook is written for peo ple new to the information-theoretic approaches to statistical inference,whether graduate students, post-docs, or professionals in various universities, agencies or institutes. Readers are expected to have a background in general statistical principles, r egression analysis, and some exposure to likelihoodmethods. This is not an elementary text as it assumes reasonable competence in modeling and parameter estimation. DAVID R. ANDERSON retired |
Note: | Springer eBooks |
Contents: | Introduction |
science hypotheses and science philosophy | |
Data and models | |
Information theory and entropy | |
Quantifying the evidence about science hypotheses | |
Multimodel inference | |
Advanced topics | |
Summary | |
ISBN: | 9780387740751 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Epidemiology , Ecology , Evolution (Biology) , Social sciences Methodology |
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Call number: | SPRINGER-2007-9783764383312:ONLINE Show nearby items on shelf |
Title: | Singularly Perturbed Boundary-Value Problems [electronic resource] |
Author(s): |
Luminia Barbu Gheorghe Moroanu |
Date: | 2007 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology, chemistry, and engineering. The authors areparticularly interest ed in nonlinear problems, which have hardly been examined so far in the literature dedicated to singular perturbations. This book proposes to fill in this gap, since most applications are described by nonlinearmodels. Their asymptotic analysis is very int eresting, but requires special methods and tools. The treatment presented in this volume combines some of the most successful results from different parts of mathematics, includingfunctional analysis, singular perturbation theory, partial differential equ ations, and evolution equations. Thus a complete justification for the replacement of various perturbed models with corresponding reduced models, which aresimpler but in general have a different character, is offered to the reader Specific applications ar e addressed, such as propagation of electromagnetic or mechanical waves, fluid flows, or diffusion processes. However, the methodspresented are also applicable to other mathematical models. The book covers mostly original results by the authors. It is des igned for researchers and graduate students |
Note: | Springer eBooks |
Contents: | Preface |
I Preliminaries | |
1. Regular and Singular Perturbations | |
2. Evolution Equations in Hilbert Spaces | |
II Singularly Perturbed Hyperbolic Problems | |
3. Presentation of the Problems | |
4. Hyperbolic Systems with Algebraic Boundary Conditions | |
5. Hyperbolic Systems with Dynamic Boundary Conditions | |
III Singularly Perturbed Coupled Boundary Value Problems | |
6. Presentation of the Problems | |
7. The Stationary Case | |
8. The Evolutionary Case | |
IV Elliptic and Hyperbolic Regularizations of Parabolic Problems | |
9. Presentation of the Problems | |
10. The Linear Case | |
11. The Nonl | |
ISBN: | 9783764383312 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v156 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2007-9783764378424:ONLINE Show nearby items on shelf |
Title: | Transport Equations in Biology [electronic resource] |
Author(s): |
Benot Perthame |
Date: | 2007 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purposeis to derive appropr iate mathematical tools and qualitative properties of the solutions (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion). Original mathematical methodsdescribed are, among others, the generalized relative entropy method - a unique method to tackle most of the problems in population biology, the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations,and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations |
Note: | Springer eBooks |
Contents: | Preface |
1. From Differential Equations to Structured Population Dynamics | |
2. Adaptive Dynamics an Asymptotic Point of View | |
3. Population Balance Equations: the Renewal Equation | |
4. Population Balance Equations: Size Structure | |
5. Cell Motion and Chemotaxis | |
6. General Mathematical Tools | |
Bibliography | |
Index | |
ISBN: | 9783764378424 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Frontiers in Mathematics, 1660-8046 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Biology Mathematics |
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Call number: | SPRINGER-2007-9783540714538:ONLINE Show nearby items on shelf |
Title: | Modelling, Analysis and Optimization of Biosystems [electronic resource] |
Author(s): |
Werner Krabs Stefan Wolfgang Pickl |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Mathematical models in biology and medicine cannot be based on natural laws as it is the case with physics and chemistry. This is due to the fact that biological and medical processes are concerned with living organisms.Mathematical models, however, can be used as a language by which certain aspects of biological or medical processes can be expressed. In general, several mathematical models can be designed in order to describe a biological or medicalprocess and there is no unique criterion which mode l gives the best description. This book presents several of these models and shows applications of them to different biological and medical problems. The book shows that operationsresearch expertise is necessary in respect to modeling, analysis and optimi zation of biosystems |
Note: | Springer eBooks |
Contents: | Growth Models |
A Game | |
Theoretic Evolution Model | |
Four Models of Optimal Control in Medicine | |
A Mathematical Model of Hemodialysis | |
ISBN: | 9783540714538 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Hematology , Cytology Research_xMethodology , Biology 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-2007-9780387690339:ONLINE Show nearby items on shelf |
Title: | Stochastic Simulation: Algorithms and Analysis [electronic resource] |
Author(s): |
Sren Asmussen Peter W Glynn |
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: | Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enormous number of different applied domains and academic disciplines. This book provides abroad treatment of such sampling-based methods, as well as accompanying mathematical analysis of the convergence properties of the methods discussed. The reach of the ideas is illustrated by discussing a wide range of applications andthe models that have found wide usage. The f irst half of the book focuses on general methods, whereas the second half discusses model-specific algorithms. Given the wide range of examples, exercises and applications students,practitioners and researchers in probability, statistics, operations resea rch, economics, finance, engineering as well as biology and chemistry and physics will find the book of value. Sren Asmussen is a professor of AppliedProbability at Aarhus University, Denmark and Peter Glynn is the Thomas Ford professor of Engineering at Stanford University |
Note: | Springer eBooks |
Contents: | What this Book is about |
Part A: General Methods and Algorithms | |
Generating Random Objects | |
Output Analysis | |
Steady | |
State Simulation | |
Variance Reduction Methods | |
Rare Event Simulation | |
Gradient Estimation | |
Stochastic Optimization | |
Part B: Algorithms for Special Models | |
Numerical Integration | |
Stochastic Differential Equations | |
Gaussian Processes | |
Lvy Processes | |
Markov Chain Monte Carlo Methods | |
Selected Topics and Extended Examples | |
Appendix | |
Bibliography | |
Index | |
ISBN: | 9780387690339 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Stochastic Modelling and Applied Probability, 0172-4568 : v57 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Finance , Operations research , Distribution (Probability theory) , Mathematical statistics , Industrial engineering |
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Call number: | SPRINGER-2007-9780387687339:ONLINE Show nearby items on shelf |
Title: | Killer Cell Dynamics [electronic resource] : Mathematical and Computational Approaches to Immunology |
Author(s): |
Dominik Wodarz |
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 reviews how mathematics can be used in combination with biological data in order to improve understanding of how the immune system works. This is illustrated largely in the context of viral infections. Mathematicalmodels allow scientists to capture complex biological interactions in a clear mathematical language and to follow them to their precise logical conclusions. This can give rise to counter-intuitive insights which would not be attainedby experiments alone, and can be used for the de sign of further experiments in order to address the mathematical results. This book provides both an introduction to the field of mathematical immunology, and an overview of many topicswhich are the subject of current research, covering a broad variety of immunological topics. It starts with basic principles of immunology and covers the dynamical interactions between the immune system and specific viral infections,including important human pathogens such as HIV. General biological and mathematical backgro und material to both virus infection and immune system dynamics is provided, and each chapter begins with a simple introduction to thebiological questions examined. This book is intended for an interdisciplinary audience. It explains the concept of mathem atical modeling in immunology and shows how modeling has been used to address specific questions. It is intendedboth for the mathematical biologists who are interested in immunology, and for the biological readership that is interested in the use of mathe matical models in immunology. Dominik Wodarz is an Associate Professor at the Department ofEcology and Evolutionary Biology at the University of California, Irvine |
Note: | Springer eBooks |
Contents: | Viruses and Immune Responses: A Dynamical View |
Models of CTL Responses and Correlates of Virus Control | |
CTL Memory | |
CD4 T Cell Help | |
Immunodominance | |
Multiple Infections and CTL Dynamics | |
Control Versus CTL | |
Induced Pathology | |
Lytic Versus Nonlytic Activity | |
Dynamical Interactions Between CTL and Antibody Responses | |
Effector Molecules and CTL Homeostasis | |
Virus | |
Induced Subversion of CTL Responses | |
Boosting Immunity Against Immunosuppressive Infections | |
Evolutionary Aspects of Immunity | |
References | |
Index | |
ISBN: | 9780387687339 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Interdisciplinary Applied Mathematics, 0939-6047 : v32 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Immunology , Cytology , Ecology , Evolution (Biology) , Biology Mathematics |
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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-2006-9781402048807:ONLINE Show nearby items on shelf |
Title: | Functional Approach to Nonlinear Models of Water Flow in Soils [electronic resource] |
Author(s): |
Gabriela Marinoschi |
Date: | 2006 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is a work of applied mathematics focusing on the functional study of the nonlinear boundary value problems relating to water flow in porous media. As far as revealed by the literature, a systematic study of these modelswithin the above ment ioned framework has not been done and the book has been written with the belief that the abstract theory may be sometimes easier and richer in consequences for applications than standard classical approaches are.The volume deals with diffusion type models and emphasizes the mathematical treatment of their nonlinear aspects. A unifying functional approach to different boundary value problems modelling the water movement in porous media ispresented, and the high degree of generality and abstraction, kept ho wever within reasonable limits, is rewarded by the richness of the results obtained in this way. From the mathematical point of view the results obtained can beconsidered as general results in the theory of nonlinear parabolic equations. Although water fl ow in soils was the principal exemplification for the functional treatment, the techniques used within the book and the results obtainedhere turn out useful for studying other appropriate problems arising in general in the movement of fluids in porous med ia, in the heat theory, phase transitions, biology, chemistry or engineering |
Note: | Springer eBooks |
Contents: | Foreword. Introduction |
Part I Modelling water infiltration in soils. 1 Brief overview of unsaturated flow concepts. 2 Settlement of the mathematical models of nonhysteric infiltration | |
Part II Analysis of infiltration models. 3 Basic existence theorems for evolution equations. 4 Functional approach to the quasi | |
unsaturated infiltration. 5 Functional approach to the saturated | |
unsaturated infiltration model | |
Part III Inverse problems in infiltration. 7 Identification of the boundary conditions from recorded observations | |
Part IV Appendix | |
ISBN: | 9781402048807 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Fluids , Environmental sciences , Soil conservation |
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Call number: | SPRINGER-2006-9780387339160:ONLINE Show nearby items on shelf |
Title: | Power Laws, Scale-Free Networks and Genome Biology [electronic resource] |
Author(s): |
Eugene V Koonin Yuri I Wolf Georgy P Karev |
Date: | 2006 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Power Laws, Scale-free Networks and Genome Biology deals with crucial aspects of the theoretical foundations of systems biology, namely power law distributions and scale-free networks which have emerged as the hallmarks ofbiological organization in t he post-genomic era. The chapters in the book not only describe the interesting mathematical properties of biological networks but moves beyond phenomenology, toward models of evolution capable of explainingthe emergence of these features. The collection of chapters, contributed by both physicists and biologists, strives to address the problems in this field in a rigorous but not excessively mathematical manner and to represent differentviewpoints, which is crucial in this emerging discipline. Each chapte r includes, in addition to technical descriptions of properties of biological networks and evolutionary models, a more general and accessible introduction to therespective problems. Most chapters emphasize the potential of theoretical systems biology for discovery of new biological phenomena |
Note: | Springer eBooks |
Contents: | The Architecture of the Cell: Scaling and Hierarchy in Cellular Networks |
Classification of Scale | |
Free Networks | |
Wide Spread Occurrence of Power Law Behavior in Genomic Biology | |
Detection of Topological Patterns in Protein | |
Binding and Transcription Regulation Networks | |
The Structure of Metabolic and Protein Interaction Networks: Design, History, or (mere) Chemistry? | |
Protein | |
Protein Interaction Networks | |
The Society of Genes: Networks of Functional Links Between Genes from Comparative Genomics | |
Emergence of Patterns in Gene Networks | |
Mathematical Modeling of Genome Evolution: O | |
ISBN: | 9780387339160 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Molecular Biology Intelligence Unit |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Biochemistry , Proteomics , Bioinformatics , Microbial genetics , Biomedical engineering |
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Call number: | SPRINGER-2005-9783540314387:ONLINE Show nearby items on shelf |
Title: | Tutorials in Mathematical Biosciences II [electronic resource] : Mathematical Modeling of Calcium Dynamics and Signal Transduction |
Author(s): |
James Sneyd |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of celltypes. Calcium plays a cr ucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction andsynaptic communication, three of the topics t o be addressed in detail in this book. In addition to the models, this book also presents much of the underlying physiology, so that readers may learn both the mathematics and the physiologyat the same time, and see how the models are applied to specific biological questions. It is thus neither a mathematics book nor a physiology book, but has features from both sides of the fence. It is intended primarily as a graduatetext or a research reference. However, some parts of the book, particularly the introdu ctory chapters on calcium dynamics will be well within the reach of some undergraduates. It will serve as a concise and up-to-date introduction toall those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Basic Concept of Ca2+ Signaling in Cells and Tissues (M. J. Sanderson) | |
Modeling IP | |
3 | |
Dependent Calcium Dynamics in Non | |
Excitable Cells (J. Sneyd) | |
Integrated Calcium Management in Cardiac Myocytes (T. R. Shannon) | |
Mechanisms and Models of Cardiac Excitation | |
Contraction Coupling (R. L. Winslow, R. Hinch, J. L. Greenstein) | |
Mathematical Analysis of the Generation of Force and Motion in Contracting Muscle (E. Pate) | |
Signal Transduction in Vertebrate Olfactory Receptor Cells (J. Reisert) | |
Mathematical Models of Synaptic Transmission and Short | |
Term Plasticity | |
ISBN: | 9783540314387 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1867 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Cytology , Biology Mathematics |
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Call number: | SPRINGER-2005-9780817644253:ONLINE Show nearby items on shelf |
Title: | Analysis of Variance for Random Models [electronic resource] : Volume II: Unbalanced Data Theory, Methods, Applications, and Data Analysis |
Author(s): |
Hardeo Sahai Mario Miguel Ojeda |
Date: | 2005 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Analysis of variance (ANOVA) models have become widely used tools and play a fundamental role in much of the application of statistics today. In particular, ANOVA models involving random effects have found widespread applicationto experimental design in a variety of fields requiring measurements of variance, including agriculture, biology, animal breeding, applied genetics, econometrics, quality control, medicine, engineering, and social sciences. Thistwo-volume work is a comprehensive presentation o f different methods and techniques for point estimation, interval estimation, and tests of hypotheses for linear models involving random effects. Both Bayesian and repeated samplingprocedures are considered. Volume I examines models with balanced data (or thogonal models) Volume II studies models with unbalanced data (nonorthogonal models). Features and Topics: * Systematic treatment of the commonly employedcrossed and nested classification models used in analysis of variance designs * Detailed and thoroug h discussion of certain random effects models not commonly found in texts at the introductory or intermediate level * Numericalexamples to analyze data from a wide variety of disciplines * Many worked examples containing computer outputs from standard sof tware packages such as SAS, SPSS, and BMDP for each numerical example * Extensive exercise sets at the endof each chapter * Numerous appendices with background reference concepts, terms, and results * Balanced coverage of theory, methods, and practical ap plications * Complete citations of important and related works at the end of eachchapter, as well as an extensive general bibliography Accessible to readers with only a modest mathematical and statistical background, the work will appeal to a broad audien ce of students, researchers, and practitioners in themathematical, life, social, and engineering sciences. It may be used as a textbook in upper-level undergraduate and graduate courses, or as a refere |
Note: | Springer eBooks |
Contents: | Matrix Preliminaries and General Linear Model |
Some General Methods for Making Inferences about Variance Components | |
One | |
Way Classification | |
Two | |
Way Crossed Classification without Interaction | |
Two | |
Way Crossed Classification with Interaction | |
Three | |
Way and Higher | |
Order Crossed Classifications | |
Two | |
Way Nested Classification | |
Three | |
Way Nested Classification | |
General r | |
Way Nested Classification | |
ISBN: | 9780817644253 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2005-9780387283142:ONLINE Show nearby items on shelf |
Title: | Modeling Longitudinal Data [electronic resource] |
Author(s): |
Robert E Weiss |
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: | Longitudinal data are ubiquitous across Medicine, Public Health, Public Policy, Psychology, Political Science, Biology, Sociology and Education, yet many longitudinal data sets remain improperly analyzed. This book teaches the artand statistical scie nce of modern longitudinal data analysis. The author emphasizes specifying, understanding, and interpreting longitudinal data models. He inspects the longitudinal data graphically, analyzes the time trend andcovariates, models the covariance matrix, and t hen draws conclusions. Covariance models covered include random effects, autoregressive, autoregressive moving average, antedependence, factor analytic, and completely unstructured modelsamong others. Longer expositions explore: an introduction to and cri tique of simple non-longitudinal analyses of longitudinal data, missing data concepts, diagnostics, and simultaneous modeling of two longitudinal variables.Applications and issues for random effects models cover estimation, shrinkage, clustered data, mode ls for binary and count data and residuals and residual plots. Shorter sections include a general discussion of how computationalalgorithms work, handling transformed data, and basic design issues. This book requires a solid regression course as backgroun d and is particularly intended for the final year of a Biostatistics or Statistics Masters degree curriculum.The mathematical prerequisite is generally low, mainly assuming familiarity with regression analysis in matrix form. Doctoral students in Biostati stics or Statistics, applied researchers and quantitative doctoral students indisciplines such as Medicine, Public Health, Public Policy, Psychology, Political Science, Biology, Sociology and Education will find this book invaluable. The book has many fig ures and tables illustrating longitudinal data andnumerous homework problems. The associated web site contains many longitudinal data sets, examples of computer code, and labs to re-enforce the material |
Note: | Springer eBooks |
Contents: | to Longitudinal Data |
Plots | |
Simple Analyses | |
Critiques of Simple Analyses | |
The Multivariate Normal Linear Model | |
Tools and Concepts | |
Specifying Covariates | |
Modeling the Covariance Matrix | |
Random Effects Models | |
Residuals and Case Diagnostics | |
Discrete Longitudinal Data | |
Missing Data | |
Analyzing Two Longitudinal Variables | |
Further Reading | |
ISBN: | 9780387283142 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics , Economics Statistics |
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Call number: | SPRINGER-2005-9780387235394:ONLINE Show nearby items on shelf |
Title: | Shortest Connectivity [electronic resource] : An Introduction with Applications in Phylogeny |
Author(s): |
Dietmar Cieslik |
Date: | 2005 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The problem of Shortest Connectivity has a long and convoluted history: given a finite set of points in a metric space, search for a network that connects these points with the shortest possible length. This shortest networkmust be a tree and may con tain vertices different from the points which are to be connected. Over the years more and more real-life problems are given, which use this problem or one of its relatives as an application, as a subproblemor a model. This volume is an introduction to th e theory of Shortest Connectivity, as the core of the so-called Geometric Network Design Problems, where the general problem can be stated as follows: given a configuration ofvertices and/or edges, find a network which contains these objects, satisfies so me predetermined requirements, and which minimizes a given objective function that depends on several distance measures. A new application of shortestconnectivity is also discussed, namely to create trees which reflect the evolutionary history of living e ntities. The aim in this graduate level text is to outline the key mathematical concepts that underpin these importantquestions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science , and several ideas in biology |
Note: | Springer eBooks |
Contents: | Two Classical Optimization Problems |
Gauss Question | |
What Does Solution Mean? | |
Network Design Problems | |
A New Challenge: The Phylogeny | |
An Analysis of Steiners Problem in Phylogenetic Spaces | |
Tree Building Algorithms | |
ISBN: | 9780387235394 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Combinatorial Optimization, 1388-3011 : v17 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biology Mathematics , Mathematical optimization , Operations research |
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Call number: | SPRINGER-2004-9783662101841:ONLINE Show nearby items on shelf |
Title: | Synergetics Introduction and Advanced Topics |
Author(s): |
Hermann Haken |
Date: | 2004 |
Size: | 1 online resource (764 p.) |
Note: | 10.1007/978-3-662-10184-1 |
Contents: | Part I: Goal -- Probability -- Information -- Chance -- Necessity -- Chance and Necessity -- Self-Organization -- Physical Systems -- Chemical and Biochemical Systems -- Applications in Biology -- Sociology and Economics -- Chaos -- |
Some Historical Remarks and Outlook -- Part II: Linear Ordinary Differential Equations -- Linear Ordinary Differential Equations with Quasiperiodic Coefficients -- Stochastic Nonlinear Differential Equations -- The World of Coupled | |
Nonlinear Oscillators -- Nonlinear Coupling of Oscillators: The Case of Persistence of Quasiperiodic Motion -- Nonlinear Equations. The Slaving Principle -- Nonlinear Equations. Qualitative Macroscopic Changes -- Spatial Patterns -- | |
The Inclusion of Noise -- Discrete Noisy Maps -- Example of an Unsolvable Problem in Dynamics -- Some Comments on the Relation Between Synergetics and Other Sciences | |
ISBN: | 9783662101841 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Biochemistry , Dynamics , Ergodic theory , System theory , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Systems Theory, Control , Theoretical, Mathematical and Computational Physics , Biochemistry, general |
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Call number: | SPRINGER-2004-9783034879071:ONLINE Show nearby items on shelf |
Title: | International Conference on Theoretical Physics TH-2002, Paris, July 22–27, 2002 |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (984 p.) |
Note: | 10.1007/978-3-0348-7907-1 |
Contents: | Preface -- Special Plenary Lectures -- 1. Beyond the Standard Model Strings, Quantum Gravity, Superasymmetry. 2. QCD, Hadron Dynamics. 3. Astrophysics and Cosmology. 4. Statistical Physics. 5. Condensed Matter Theory. 6. Soft Matter |
and Biology. 7. Dynamical Systems and Quantum Chaos. 8. Theoretical Quantum Mechanics. 9. Random Matrices and Applications. 10. General Formalism and Mathematical Methods. 11. Interdisciplinary and Miscellaneous Topics -- Special | |
Session: Theoretical Physics in Developing Countries | |
ISBN: | 9783034879071 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Quantum field theory , String theory , Quantum physics , Quantum computers , Spintronics , Physics , Physics, general , Quantum Physics , Theoretical, Mathematical and Computational Physics , Mathematical Methods in Physics , Quantum Information Technology, Spintronics , Quantum Field Theories, String Theory |
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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-2003-9783662055946:ONLINE Show nearby items on shelf |
Title: | Adaptivity and Learning An Interdisciplinary Debate |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (403 p.) |
Note: | 10.1007/978-3-662-05594-6 |
Contents: | Adaptivity and Learning — an Interdisciplinary Debate -- I Biology and Behaviour of Adaptation and Learning -- Biology of Adaptation and Learning -- The Adaptive Properties of the Phosphate Uptake System of Cyanobacteria: Information |
Storage About Environmental Phosphate Supply -- Cognitive Architecture of a Mini-Brain -- Cerebral Mechanisms of Learning Revealed by Functional Neuroimaging in Humans -- Creating Presence by Bridging Between the Past and the Future: | |
the Role of Learning and Memory for the Organization of Life -- II Physics Approach to Learning — Neural Networks and Statistics -- The Physics Approach to Learning in Neural Networks -- Statistical Physics of Learning and | |
Generalization -- The Statistical Physics of Learning: Phase Transitions and Dynamical Symmetry Breaking -- The Complexity of Learning with Supportvector Machines — A Statistical Physics Study -- III Mathematical Models of Learning -- | |
Mathematics Approach to Learning -- Learning and the Art of Fault-Tolerant Guesswork -- Perspectives on Learning Symbolic Data with Connectionistic Systems -- Statistical Learning and Kernel Methods -- Inductive Versus Approximative | |
Learning -- IV Learning by Experience -- Learning by Experience -- Learning by Experience from Others — Social Learning and Imitation in Animals and Robots -- Reinforcement Learning: a Brief Overview -- A Simple Model for Learning from | |
Unspecific Reinforcement -- V Human-Like Cognition and AI Learning -- Aspects of Human-Like Cognition and AI Learning -- Making Robots Learn to See -- Using Machine Learning Techniques in Complex Multi-Agent Domains -- Learning | |
Similarities for Informally Defined Objects -- Semiotic Cognitive Information Processing: Learning to Understand Discourse. A Systemic Model of Meaning Constitution | |
ISBN: | 9783662055946 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Philosophy , Computers , Evolutionary biology , Statistical physics , Dynamical systems , Control engineering , Robotics , Mechatronics , Physics , Physics, general , Statistical Physics, Dynamical Systems and Complexity , Control, Robotics, Mechatronics , Computing Methodologies , Philosophy, general , Evolutionary Biology |
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Call number: | SPRINGER-2003-9783540448785:ONLINE Show nearby items on shelf |
Title: | Understanding Calcium Dynamics Experiments and Theory |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (300 p.) |
Note: | 10.1007/b11586 |
Contents: | Regulation of IP3 Receptors by IP3 and CA2+ -- The Endoplasmic Reticulum: a Central Player in Cell Signalling and Protein Synthesis -- Mitochondrial and ER Calcium Uptake and Release Fluxes and Their Interplay in Intact Nerve Cells -- |
Global and Local Regulation of Neuronal Differentiation By Calcium Transients -- Role of NAADP in Coordinating Spatiotemporal Aspects of Calcium Signalling -- Models of Cardiac CA2+- Induced CA 2+ Release and Ca2+ Sparks -- From Simple | |
to Complex Ca2+ Oscillations: Regulatory Mechanisms and Theoretical Models -- Information Processing in Calcium Signal Transduction -- Modeling Calcium Waves -- Mathematical Modeling and High Resolution Fluorescence Imaging for | |
Studying Calcium Regulation -- Langevin Modeling of Intracellular Calcium Dynamics -- Building a Wave - Models of the Puff-to-Wave Transition | |
ISBN: | 9783540448785 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 623 |
Keywords: | Physics , Physical chemistry , Medical biochemistry , Biochemistry , Cell biology , Biophysics , Biological physics , Statistical physics , Dynamical systems , Physics , Biophysics and Biological Physics , Physical Chemistry , Medical Biochemistry , Biochemistry, general , Cell Biology , Statistical Physics, Dynamical Systems and Complexity |
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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-2003-9781447100195:ONLINE Show nearby items on shelf |
Title: | Fields, Flows and Waves An Introduction to Continuum Models |
Author(s): |
David F Parker |
Date: | 2003 |
Size: | 1 online resource (270 p.) |
Note: | 10.1007/978-1-4471-0019-5 |
Contents: | 1. The Continuum Description -- 1.1 Densities and Fluxes -- 1.2 Conservation and Balance Laws in One Dimension -- 1.3 Heat Flow -- 1.4 Steady Radial Flow in Two Dimensions -- 1.5 Steady Radial Flow in Three Dimensions -- 2. Unsteady |
Heat Flow -- 2.1 Thermal Energy -- 2.2 Effects of Heat Supply -- 2.3 Unsteady, Spherically Symmetric Heat Flow -- 3. Fields and Potentials -- 3.1 Gradient of a Scalar -- 3.2 Gravitational Potential -- 3.3 Continuous Distributions of | |
Mass -- 3.4 Electrostatics -- 4. Laplace’s Equation and Poisson’s Equation -- 4.1 The Ubiquitous Laplacian -- 4.2 Separable Solutions -- 4.3 Poisson’s Equation -- 4.4 Dipole Solutions -- 5. Motion of an Elastic String -- 5.1 Tension | |
and Extension Kinematics and Dynamics -- 5.2 Planar Motions -- 5.3 Properties of the Wave Equation -- 5.4 D’Alembert’s Solution, Travelling Waves and Wave Reflections -- 5.5 Other One-dimensional Waves -- 6. Fluid Flow -- 6.1 | |
Kinematics and Streamlines -- 6.2 Volume Flux and Mass Flux -- 6.3 Two-dimensional Flows of Incompressible Fluids -- 6.4 Pressure in a Fluid -- 6.5 Bernoulli’s Equation -- 6.6 Three-dimensional, Incompressible Flows -- 7. Elastic | |
Deformations -- 7.1 The Kinematics of Deformation -- 7.2 Polar Decomposition -- 7.3 Stress -- 7.4 Isotropic Linear Elasticity -- 8. Vibrations and Waves -- 8.2 Guided Waves -- 8.3 Love Waves in Elasticity -- 8.4 Elastic Plane Waves -- | |
9. Electromagnetic VVaves and Light -- 9.1 Physical Background -- 9.2 Waveguides -- 10. Chemical and Biological Models -- 10.1 Diffusion of Chemical Species -- 10.2 Population Biology -- 10.3 Biological Waves -- Solutions | |
ISBN: | 9781447100195 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , Applied mathematics , Engineering mathematics , Physics , Continuum physics , Mechanics , Mathematics , Analysis , Applications of Mathematics , Physics, general , Partial Differential Equations , Classical Continuum Physics , Mechanics |
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Call number: | SPRINGER-2003-9780387216966:ONLINE Show nearby items on shelf |
Title: | Mathematical Systems Theory in Biology, Communications, Computation, and Finance |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (504 p.) |
Note: | 10.1007/978-0-387-21696-6 |
Contents: | On cellular automaton approaches to modelling biological cells -- Crystalline stochastic systems and curvature driven flows -- Overdetermined multidimensional systems: State space and frequency domain methods -- Dissipative dynamics |
in classical and quantum conservative systems -- A state space approach to control of interconnected systems -- Multi-dimensional capacity, pressure and Hausdorff dimension -- Numerics versus control -- Manipulating matrix inequalities | |
automatically -- A dynamical system approach to matrix eigenvalue algorithms -- Belief propagation on partially ordered sets -- Smoothing by Savitzky-Golay and Legendre filters -- On stochastic control in finance -- Control and | |
financial engineering -- Passive and conservative infinite-dimensional impedance and scattering systems (from a personal point of view) -- Spectral theory for neutral delay equations with applications to control and stabilization -- On | |
factor graphs and electrical networks -- Dissipative distributed systems | |
ISBN: | 9780387216966 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | The IMA Volumes in Mathematics and its Applications: 134 |
Keywords: | Life sciences , Information theory , System theory , Discrete mathematics , Statistical physics , Dynamical systems , Complexity, Computational , Life Sciences , Life Sciences, general , Discrete Mathematics , Systems Theory, Control , Information and Communication, Circuits , Statistical Physics, Dynamical Systems and Complexity , Complexity |
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Call number: | SPRINGER-2002-9783642562570:ONLINE Show nearby items on shelf |
Title: | The Science of Disasters Climate Disruptions, Heart Attacks, and Market Crashes |
Author(s): |
Armin Bunde |
Date: | 2002 |
Size: | 1 online resource (453 p.) |
Note: | 10.1007/978-3-642-56257-0 |
Contents: | I. General -- 1. Entropy, Complexity, Predictability, and Data Analysis of Time Series and Letter Sequences -- 2. Wavelet Based Multifractal Formalism: Applications to DNA Sequences, Satellite Images of the Cloud Structure, and Stock |
Market Data -- II. Climate Systems -- 3. Space-Time Variability of the European Climate -- 4. Is Climate Predictable? -- 5. Atmospheric Persistence Analysis: Novel Approaches and Applications -- 6. Assessment and Management of Critical | |
Events: The Breakdown of Marine Fisheries and The North Atlantic Thermohaline Circulation -- III. Biodynamics -- 7. Fractal and Multifractal Approaches in Physiology -- 8. Physiological Relevance of Scaling of Heart Phenomena -- 9. | |
Local Scaling Properties for Diagnostic Purposes -- 10. Unstable Periodic Orbits and Stochastic Synchronization in Sensory Biology -- 11. Crowd Disasters and Simulation of Panic Situations -- IV. Nonlinear Economics -- 12. | |
Investigations of Financial Markets Using Statistical Physics Methods -- 13. Market Fluctuations I: Scaling, Multiscaling, and Their Possible Origins -- 14. Market Fluctuations II: Multiplicative and Percolation Models, Size Effects, | |
and Predictions | |
ISBN: | 9783642562570 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Atmospheric sciences , Medicine , Statistical physics , Dynamical systems , Sociophysics , Econophysics , Statistics , Environmental sciences , Physics , Socio- and Econophysics, Population and Evolutionary Models , Statistical Physics, Dynamical Systems and Complexity , Atmospheric Sciences , Medicine/Public Health, general , Math. Appl. in Environmental Science , Statistics for Business/Economics/Mathematical Finance/Insurance |
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Call number: | SPRINGER-2002-9783642560804:ONLINE Show nearby items on shelf |
Title: | Computational Methods for Macromolecules: Challenges and Applications Proceedings of the 3rd International Workshop on Algorithms for Macromolecular Modeling, New York, October 12–14, 2000 |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (504 p.) |
Note: | 10.1007/978-3-642-56080-4 |
Contents: | Methods for Macromolecular Modeling (M3): Assessment of Progress and Future Perspectives -- I Biomolecular Dynamics Applications -- Mathematics and Molecular Neurobiology -- Structural and Dynamical Characterization of Nuclei Acid |
Water and Ion Binding Sites -- II Molecular Dynamics Methods -- A Test Set for Molecular Dynamics Algorithms -- Internal Coordinate Molecular Dynamics Based on the Spectroscopic B-Matrix -- The Sigma MD Program and a Generic Interface | |
Applicable to Multi-Functional Programs with Complex, Hierarchical Command Structure -- Overcoming Instabilities in Verlet-I/r-RESPA with the Mollified Impulse Method -- III Monte Carlo Methods -- On the Potential of Monte Carlo | |
Methods for Simulating Macromolecular Assemblies -- Structure Calculation of Protein Segments Connecting Domains with Defined Secondary Structure: A Simulated Annealing Monte Carlo Combined with Biased Scaled Collective Variables | |
Technique -- IV Other Conformational Sampling Methods -- Hierarchical Uncoupling-Coupling of Metastable Conformations -- Automatic Identification of Metastable Conformations via Self-Organized Neural Networks -- V Free Energy Methods | |
-- Equilibrium and Non-Equilibrium Foundations of Free Energy Computational Methods -- Free-Energy Calculations in Protein Folding by Generahzed-Ensemble Algorithms -- Ab Initio QM/MM and Free Energy Calculations of Enzyme Reactions -- | |
VI Long Range Interactions and Fast Electrostatics Methods -- Treecode Algorithms for Computing Nonbonded Particle Interactions -- A New Reciprocal Space Based Method for Treating Long Range Interactions in Ab Initio and Force-Field | |
Based Calculations for Surfaces, Wires, and Clusters -- Efficient Computational Algorithms for Fast Electrostatics and Molecular Docking -- VII Statistical Approaches to Protein Structures -- Fold Recognition Using the OPLS All-Atom | |
Potential and the Surface Generalized Born Solvent Model -- Identification of Sequence-Specific Tertiary Packing Motifs in Protein Structures using Delaunay Tessellation -- Appendix: Color Plates | |
ISBN: | 9783642560804 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Computational Science and Engineering: 24 |
Keywords: | Mathematics , Computer simulation , Biochemistry , Bioinformatics , Computational biology , Computer mathematics , Mathematical models , Physics , Mathematics , Mathematical Modeling and Industrial Mathematics , Biochemistry, general , Simulation and Modeling , Computer Appl. in Life Sciences , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2002-9783034881197:ONLINE Show nearby items on shelf |
Title: | Fractals in Biology and Medicine |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (362 p.) |
Note: | 10.1007/978-3-0348-8119-7 |
Contents: | Fractal Design of Biological Structures and Functions -- Pattern Complexity in Organogenesis and Carcinogenesis -- Fractal Structure of Space and Time is Necessary for the Emergence of Self-Organization, Connectivity, and Collectivity |
in Cellular System -- Diffusion Screening, Acinus Size and Optimal Design of Mammalian Lungs -- Three-Dimensional Model of the Human Airway Tree Based on a Fractal Branching Algorithm -- Fractal Dimension, Form and Shape Factors for | |
the Quantification of Nuclear Signature Profiles -- Fractal Signature Vectors and Lacunarity Class Distance Matrices to Extract New Adaptive Texture Features from Cell Nuclei -- Morphofractal Reorganization of Plasma Membrane and | |
Nuclear Components during the Apoptosis of Breast Cancer Cells -- Fractal Analysis of Chromatin during Apoptosis -- Fractal Structures in Tumours and Diseases -- Asymptotic Fractals, Geostatistics and Hurst Parameter Heterogeneity and | |
Histological Grades in Breast Cancer -- The Fractal Dimension of the Inner Surface of Neoplastic Mammary Ducts in Mammary Fibroadenomas and Mammary Carcinomas of Dog and Cat: Preliminary Data -- Classification of Prostatic Cancer Using | |
Artificial Neural Networks -- Fractal Dimension Exponent for Quantitative Evaluation of Liver Extracellular Matrix in Biopsy Specimens -- Two-Dimensional Fractal Geometric Analysis of Bone Marrow Tissue in Hyperplasia, Refractory | |
Anemia and Acute Leukemia -- Color-Based Method for Fractal Dimension Estimation of Pigmented Skin Lesion Contour -- The EEG Signal in Hepatic Encephalopathy: from a Time-Domain Statistical Analysis toward Fractional Brownian Processes | |
-- A Fractal Approach of Pathological Voices -- A Vowel Fractal Dimension Study -- Bone Architecture Measured by Fractal Dimension and Connectivity Indices is More Precociously Altered than Mineral Content in the Orchidectomized Rat -- | |
Texture Analyses of X-Ray Micrographs (Fractal Geometry and Run Length) are Better Predictors of Bone Loss than Mineral Content in a Rat Model of Localized Disuse Osteopenia -- Fractal Scaling of Heartrate Dynamics in Health and | |
Disease -- Information States in Cardiac Rhythm -- Some Remarks on the Fractal Dimension Applications in -- Nuclear Medicine -- Organization and Evolution of Living Systems -- Fractional Calculus and Memory in Biophysical Time Series | |
-- The Biological Meanings of DNA Correlations -- On the Fractal Structure of Evolutionary Trees -- Metabolic Hypercycles, Universality and Fractals in Biological Evolution -- The Universal Dynamic Complexity as Extended Dynamic | |
Fractality: Causally Complete Understanding of Living Systems Emergence and Operation -- Modelling -- A Headful of T4 Coliphage DNA: Dynamical Modelling -- On Lacunarity Analysis -- The Fractal Dimension of the Coastline as a | |
Determinant of Western Leadership in Science and Technology -- A Fractional Calculus Approach to Adsorbate Dynamics in -- Nanoporous Materials -- Complex Aspects of the Riemann Hypothesis: a Computational -- Approach -- Fractals in | |
Architecture: Some Examples | |
ISBN: | 9783034881197 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Health informatics , Biochemistry , Biomathematics , Mathematics , Mathematical and Computational Biology , Health Informatics , Biochemistry, general |
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Call number: | SPRINGER-2002-9780387224640:ONLINE Show nearby items on shelf |
Title: | Molecular Modeling and Simulation An Interdisciplinary Guide |
Author(s): |
Tamar Schlick |
Date: | 2002 |
Size: | 1 online resource (635 p.) |
Note: | 10.1007/978-0-387-22464-0 |
Contents: | 1 Biomolecular Structure and Modeling: Historical Perspective -- 2 Biomolecular Structure and Modeling: Problem and Application Perspective -- 3 Protein Structure Introduction -- 4 Protein Structure Hierarchy -- 5 Nucleic Acids |
Structure Minitutorial -- 6 Topics in Nucleic Acids Structure -- 7 Theoretical and Computational Approaches to Biomolecular Structure -- 8 Force Fields -- 9 Nonbonded Computations -- 10 Multivariate Minimization in Computational | |
Chemistry -- 11 Monte Carlo Techniques -- 12 Molecular Dynamics: Basics -- 13 Molecular Dynamics: Further Topics -- 14 Similarity and Diversity in Chemical Design -- Epilogue -- Appendix A. Molecular Modeling Sample Syllabus -- | |
Appendix B. Article Reading List -- Appendix C. Supplementary Course Texts -- Appendix D. Homework Assignments | |
ISBN: | 9780387224640 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 21 |
Keywords: | Life sciences , Biochemical engineering , Computer simulation , Biochemistry , Biomathematics , Biophysics , Biological physics , Life Sciences , Biochemistry, general , Biochemical Engineering , Simulation and Modeling , Mathematical and Computational Biology , Biophysics and Biological 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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More info: | Amazon.com |
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