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Call number: | 9783319520452:ONLINE Show nearby items on shelf |
Title: | Information Geometry and Population Genetics The Mathematical Structure of the Wright-Fisher Model |
Author(s): |
Julian Hofrichter |
Date: | 2017 |
Size: | 1 online resource (XII, 320 p. 3 illus., 2 illus. in color p.) |
Contents: | 1. Introduction -- 2. The Wright–Fisher model -- 3. Geometric structures and information geometry -- 4. Continuous approximations -- 5. Recombination -- 6. Moment generating and free energy functionals -- 7. Large deviation theory -- |
8. The forward equation -- 9. The backward equation -- 10.Applications -- Appendix -- A. Hypergeometric functions and their generalizations -- Bibliography | |
ISBN: | 9783319520452 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Human genetics , Mathematical analysis , Analysis (Mathematics) , Geometry , Probabilities , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistical Theory and Methods , Human Genetics , Analysis , Geometry , Probability Theory and Stochastic Processes |
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Call number: | 9783319457611:ONLINE Show nearby items on shelf |
Title: | Environmental Radiation Effects on Mammals A Dynamical Modeling Approach |
Author(s): |
Olga A Smirnova |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XXIII, 359 p. 203 illus., 4 illus. in color p.) |
Contents: | Effects of Acute and Chronic Irradiation on the Blood-Forming System -- Effects of Non-Uniform Acute Irradiation on the Blood-Forming System. - The Small Intestine as a Target for Radiation -- Radiation and Humoral Immunity -- |
Modeling of Autoimmune Processes -- Individual-Based Approach to Risk Assessment of Radiation-Induced Mortality -- Effects of Acute and Chronic Irradiation on Human Hematopoiesis. - Radiogenic Leukemia Risk Assessment. - Radiation and | |
Skin. - Conclusions -- Index | |
ISBN: | 9783319457611 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Radiology , Occupational medicine , Animal physiology , Biomathematics , Aerospace engineering , Astronautics , Physics , Biological and Medical Physics, Biophysics , Occupational Medicine/Industrial Medicine , Aerospace Technology and Astronautics , Imaging / Radiology , Animal Physiology , Mathematical and Computational Biology |
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Call number: | SPRINGER-2016-9783662475003:ONLINE Show nearby items on shelf |
Title: | Replication of Chaos in Neural Networks, Economics and Physics |
Author(s): |
Marat Akhmet |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (133 p.) |
Note: | 10.1007/978-3-662-47500-3 |
Contents: | Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time |
Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems | |
ISBN: | 9783662475003 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Difference equations , Functional equations , Biomathematics , Statistical physics , Mechanics , Mechanics, Applied , Economic theory , Physics , Nonlinear Dynamics , Difference and Functional Equations , Theoretical and Applied Mechanics , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology |
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Call number: | SPRINGER-2016-9783658132347:ONLINE Show nearby items on shelf |
Title: | Analysis of Single-Cell Data ODE Constrained Mixture Modeling and Approximate Bayesian Computation |
Author(s): |
Carolin Loos |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (92 p.) |
Note: | 10.1007/978-3-658-13234-7 |
Contents: | Modeling and Parameter Estimation for Single-Cell Data -- ODE Constrained Mixture Modeling for Multivariate Data -- Approximate Bayesian Computation Using Multivariate Statistics |
ISBN: | 9783658132347 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Bioinformatics , Computational biology , Computer mathematics , Biomathematics , Mathematics , Mathematical and Computational Biology , Computational Mathematics and Numerical Analysis , Computer Appl. in Life Sciences |
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Call number: | SPRINGER-2016-9783319412139:ONLINE Show nearby items on shelf |
Title: | The Statistical Physics of Fixation and Equilibration in Individual-Based Models |
Author(s): |
Peter Ashcroft |
Date: | 2016 |
Size: | 1 online resource (13 p.) |
Note: | 10.1007/978-3-319-41213-9 |
Contents: | Introduction -- Technical Background -- Finite Populations in Switching Environments -- Fixation Time Distribution -- Metastable States in Cancer Initiation -- The WKB Method: A User-guide -- Conclusions |
ISBN: | 9783319412139 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Cancer research , Bioinformatics , Game theory , Probabilities , Biomathematics , Sociophysics , Econophysics , Physics , Socio- and Econophysics, Population and Evolutionary Models , Mathematical and Computational Biology , Bioinformatics , Probability Theory and Stochastic Processes , Game Theory, Economics, Social and Behav. Sciences , Cancer Research |
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Call number: | SPRINGER-2016-9783319410425:ONLINE Show nearby items on shelf |
Title: | Topological Interactions in Ring Polymers |
Author(s): |
Davide Michieletto |
Date: | 2016 |
Size: | 1 online resource (5 p.) |
Note: | 10.1007/978-3-319-41042-5 |
Contents: | Introduction -- Predicting the Behaviour of Rings in Solution -- Molecular Dynamics Models -- Threading Rings -- A Biophysical Model for the Kinetoplast DNA -- The Role of Topology in DNA Gel Electrophoresis -- Conclusions. |
ISBN: | 9783319410425 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Polymers , Biomathematics , Amorphous substances , Complex fluids , Biophysics , Biological physics , Statistical physics , Dynamical systems , Physics , Soft and Granular Matter, Complex Fluids and Microfluidics , Polymer Sciences , Biophysics and Biological Physics , Mathematical and Computational Biology , Statistical Physics, Dynamical Systems and Complexity |
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Call number: | SPRINGER-2016-9783319322858:ONLINE Show nearby items on shelf |
Title: | Computational Modeling of Neural Activities for Statistical Inference |
Author(s): |
Antonio Kolossa |
Date: | 2016 |
Size: | 1 online resource (20 p.) |
Note: | 10.1007/978-3-319-32285-8 |
Contents: | Basic Principles of ERP Research, Surprise, and Probability Estimation -- Introduction to Model Estimation and Selection Methods -- A New Theory of Trial-by-Trial P300 Amplitude Fluctuations -- Bayesian Inference and the Urn-Ball Task -- Summary an d Outlook |
ISBN: | 9783319322858 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Neurosciences , Computer simulation , Neural networks (Computer science) , Biomathematics , Biomedical engineering , Mathematics , Mathematical Models of Cognitive Processes and Neural Networks , Biomedical Engineering , Neurosciences , Physiological, Cellular and Medical Topics , Simulation and Modeling |
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Call number: | SPRINGER-2016-9783319320434:ONLINE Show nearby items on shelf |
Title: | The Mathematics Behind Biological Invasions |
Author(s): |
Mark A Lewis |
Date: | 2016 |
Size: | 1 online resource (19 p.) |
Note: | 10.1007/978-3-319-32043-4 |
Contents: | Introduction.-Dynamics of Biological Invasions.-Reaction-Diffusion Models: Single Species -- Invasion in a Multispecies System -- Long-Distance Dispersal and Spread -- A User’s Guide to Integrodifference Models for Invasive Spread -- Stochasticit y and Invasion Dynamics -- Stochastic Spread -- Assessing Invasion Risk -- Responding to invasions: Detection, control, and adaptation -- Appendix.-References.-Index |
ISBN: | 9783319320434 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 44 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Partial differential equations , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Genetics and Population Dynamics , Dynamical Systems and Ergodic Theory , Partial Differential Equations |
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Call number: | SPRINGER-2016-9783319303284:ONLINE Show nearby items on shelf |
Title: | Probabilistic Models of Population Evolution Scaling Limits, Genealogies and Interactions |
Author(s): |
Étienne Pardoux |
Date: | 2016 |
Size: | 1 online resource (2 p.) |
Note: | 10.1007/978-3-319-30328-4 |
Contents: | Introduction -- Branching Processes -- Convergence to a Continuous State Branching Process -- Continuous State Branching Process (CSBP) -- Genealogies -- Models of Finite Population with Interaction -- Convergence to a Continuous State Model -- Con tinuous Model with Interaction -- Appendix |
ISBN: | 9783319303284 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematical Biosciences Institute Lecture Series : 1.6 |
Keywords: | Mathematics , Ecology , Probabilities , Biomathematics , Mathematics , Mathematical and Computational Biology , Probability Theory and Stochastic Processes , Theoretical Ecology/Statistics |
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Call number: | SPRINGER-2016-9783319296470:ONLINE Show nearby items on shelf |
Title: | Models of Calcium Signalling |
Author(s): |
Geneviève Dupont |
Date: | 2016 |
Size: | 1 online resource (38 p.) |
Note: | 10.1007/978-3-319-29647-0 |
Contents: | Some Background Physiology -- The Calcium Toolbox -- Basic Modeling Principles: Deterministic Models -- Hierarchical and Stochastic Modeling -- Nonlinear Dynamics of Calcium -- Nonexcitable Cells -- Muscle -- Neurons and Other Excitable Cells |
ISBN: | 9783319296470 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 43 |
Keywords: | Mathematics , Neurosciences , Biomathematics , Systems biology , Biological systems , Mathematics , Mathematical and Computational Biology , Biological Networks, Systems Biology , Neurosciences |
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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-2016-9783319270814:ONLINE Show nearby items on shelf |
Title: | Scientific Models Red Atoms, White Lies and Black Boxes in a Yellow Book |
Author(s): |
Philip Gerlee |
Date: | 2016 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-3-319-27081-4 |
Contents: | Prologue -- History.- Structure, Relation and Use -- Interviews.- Worked Examples -- Epilogue -- Further Reading |
ISBN: | 9783319270814 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematics , Mathematical models , Biomathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Mathematical and Computational Biology , Philosophy of Mathematics |
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Call number: | SPRINGER-2016-9783319269115:ONLINE Show nearby items on shelf |
Title: | Stochastic Neuron Models |
Author(s): |
Priscilla E Greenwood |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (12 p.) |
Note: | 10.1007/978-3-319-26911-5 |
Contents: | Introduction -- Single Neuron Models -- Population and Subpopulation Models -- Spatially-structured Neural Systems -- The Bigger Picture |
ISBN: | 9783319269115 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematical Biosciences Institute Lecture Series : 1.5 |
Keywords: | Mathematics , Neurosciences , Probabilities , Biomathematics , Statistics , Mathematics , Physiological, Cellular and Medical Topics , Probability Theory and Stochastic Processes , Neurosciences , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-2016-9783319244488:ONLINE Show nearby items on shelf |
Title: | Physical Models of Cell Motility |
Author(s): | |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (9 p.) |
Note: | 10.1007/978-3-319-24448-8 |
Contents: | Introduction -- Phase-field Description of Cell Movement -- Role of Substrate Adhesiveness -- Cytoskeletal Waves -- Chemical Signaling -- Efficiency of Cell Motion |
ISBN: | 9783319244488 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Bioinformatics , Computational biology , Biomathematics , Biophysics , Biological physics , Biomedical engineering , Physics , Biophysics and Biological Physics , Biomedical Engineering , Computer Appl. in Life Sciences , Numerical and Computational Physics , Physiological, Cellular and Medical Topics |
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Call number: | SPRINGER-2016-9783319242989:ONLINE Show nearby items on shelf |
Title: | Recent Trends in Combinatorics |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (14 p.) |
Note: | 10.1007/978-3-319-24298-9 |
Contents: | Section 1: Extremal and Probabilistic Combinatorics -- Problems Related to Graph Indices in Trees -- The edit distance in graphs: methods, results and generalizations -- Repetitions in graphs and sequences -- On Some Extremal Problems for Cycles in Graphs -- A survey of Turan problems for expansions -- Survey on matching, packing and Hamilton cycle problems on hypergraphs -- Rainbow Hamilton cycles in random graphs and hypergraphs -- Further applications of the Container Method -- Independent transv ersals and hypergraph matchings - an elementary approach -- Giant components in random graphs -- Infinite random graphs and properties of metrics -- Nordhaus-Gaddum Problems for Colin de Verdière Type Parameters, Variants of Tree-width, and Related Param eters -- Algebraic aspects of the normalized Laplacian -- Poset-free Families of Subsets.- Mathematics of causal sets -- Section 2: Additive and Analytic Combinatorics -- Lectures on Approximate groups and Hilbert's 5th Problem -- Character |
sums and arithmetic combinatorics -- On sum-product problem -- Ajtai-Szemerédi Theorems over quasirandom groups -- Section 3: Enumerative and Geometric Combinatorics -- Moments of orthogonal polynomials and combinatorics -- The combinatorics of kno t invariants arising from the study of Macdonald polynomials -- Some algorithmic applications of partition functions in combinatorics -- Partition Analysis, Modular Functions, and Computer Algebra -- A survey of consecutive patterns in permutations -- Uni modality Problems in Ehrhart Theory -- Face enumeration on simplicial complexes -- Simplicial and Cellular Trees -- Parametric Polyhedra with at least k Lattice Points: Their Semigroup Structure and the k-Frobenius Problem.- Dynamical Algebraic Combinator ics and the Homomesy Phenomenon | |
ISBN: | 9783319242989 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | The IMA Volumes in Mathematics and its Applications: 159 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Functional analysis , Convex geometry , Discrete geometry , Combinatorics , Biomathematics , Mathematics , Combinatorics , Convex and Discrete Geometry , Dynamical Systems and Ergodic Theory , Functional Analysis , Genetics and Population Dynamics |
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Call number: | SPRINGER-2013-9780817683795:ONLINE Show nearby items on shelf |
Title: | Excursions in Harmonic Analysis, Volume 2 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center |
Author(s): |
Travis D Andrews Radu Balan John J Benedetto Wojciech Czaja Kasso A Okoudjou |
Date: | 2013 |
Publisher: | Boston : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consistsof contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span alarge spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I Sampling Theory Remote Sensing Mathematics of Data Processing Applications of Data Processing Volume II Measure Theory Filtering Operator Theory Biomathematics Each part provides sta te-of-the-artresults, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is anexcellent r eference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics |
Note: | Springer eBooks |
Contents: | Part V Measure Theory |
Absolute Continuity and Singularity of Measures Without Measure Theory | |
Visible and Invisible Cantor Sets | |
Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density | |
Positive Operator | |
Valued Measures: A General Setting for Frames | |
Part VI Filtering | |
Extending Wavelet Filters, Infinite Dimensions, the Non | |
Rational Case, and Indefinite | |
Inner Product Spaces | |
On the Group | |
Theoretic Structure of Lifted Filter Banks | |
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces | |
On the Convergence of It | |
ISBN: | 9780817683795 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Engineering mathematics |
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Call number: | SPRINGER-2013-9780817683764:ONLINE Show nearby items on shelf |
Title: | Excursions in Harmonic Analysis, Volume 1 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center |
Author(s): |
Travis D Andrews Radu Balan John J Benedetto Wojciech Czaja Kasso A Okoudjou |
Date: | 2013 |
Publisher: | Boston : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consistsof contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span alarge spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I Sampling Theory Remote Sensing Mathematics of Data Processing Applications of Data Processing Volume II Measure Theory Filtering Operator Theory Biomathematics Each part provides sta te-of-the-artresults, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is anexcellent r eference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics |
Note: | Springer eBooks |
Contents: | Part 1 Sampling Theory |
Unions of Subspaces for Data Modeling and Subspace Clustering | |
Fusion frames and Unbiased Basic Sequences | |
Sampling in Spaces of Bandlimited Functions on Commutative Spaces | |
Smooth Interpolation of Data by Efficient Algorithms | |
An Overview of Time and Multiband Limiting | |
A Panorama of Sampling Theory | |
Part II Remote Sensing | |
Multistatic Radar Waveforms for Imaging of Moving Targets | |
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer | |
An Introduction to Hyperspectral Image Data Modeling | |
Hyperspectr | |
ISBN: | 9780817683764 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Engineering mathematics |
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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-2010-9781441971654:ONLINE Show nearby items on shelf |
Title: | Applied Probability [electronic resource] |
Author(s): |
Kenneth Lange |
Date: | 2010 |
Edition: | Second |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduatestudents in applied ma thematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, andelementary probability theory. Chapter 1 revi ews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilisticapplications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented withappropriate sections from Chapters 1 and 2, there is sufficient material for a traditional se mester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, anddiffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besidesthe two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion ofbasic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientist s from a variety of backgrounds will find Applied Probability useful as areference. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Gene |
Note: | Springer eBooks |
Contents: | Basic Notions of Probability Theory |
Calculation of Expectations | |
Convexity, Optimization, and Inequalities | |
Combinatorics | |
Combinatorial Optimization | |
Poisson Processes | |
Discrete | |
Time Markov Chains | |
Continuous | |
Time Markov Chains | |
Branching Processes | |
Martingales | |
Diffusion Processes | |
Asymptotic Methods | |
Numerical Methods | |
Poisson Approximation | |
Number Theory | |
Appendix: Mathematical Review | |
ISBN: | 9781441971654 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X : v0 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer science , Computer simulation , Biology Mathematics , Computer science Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2010-9781441959454:ONLINE Show nearby items on shelf |
Title: | Numerical Analysis for Statisticians [electronic resource] |
Author(s): |
Kenneth Lange |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Every advance in computer architecture and software tempts statisticians to tackle numerically harder problems. To do so intelligently requires a good working knowledge of numerical analysis. This book equips students to crafttheir own software and t o understand the advantages and disadvantages of different numerical methods. Issues of numerical stability, accurate approximation, computational complexity, and mathematical modeling share the limelight in abroad yet rigorous overview of those parts of numerical analysis most relevant to statisticians. In this second edition, the material on optimization has been completely rewritten. There is now an entire chapter on the MM algorithm inaddition to more comprehensive treatments of constrained optimizati on, penalty and barrier methods, and model selection via the lasso. There is also new material on the Cholesky decomposition, Gram-Schmidt orthogonalization, the QRdecomposition, the singular value decomposition, and reproducing kernel Hilbert spaces. The discussions of the bootstrap, permutation testing, independent Monte Carlo, and hidden Markov chains are updated, and a new chapter on advancedMCMC topics introduces students to Markov random fields, reversible jump MCMC, and convergence analysis in Gibb s sampling. Numerical Analysis for Statisticians can serve as a graduate text for a course surveying computationalstatistics. With a careful selection of topics and appropriate supplementation, it can be used at the undergraduate level. It contains enough material for a graduate course on optimization theory. Because many chapters are nearlyself-contained, professional statisticians will also find the book useful as a reference. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Dep artments of Biomathematics and Human Genetics and the Chair of theDepartment of Human Genetics, all in the UCLA School of Medicine. His research interests include human genetics, population modeling, bi |
Note: | Springer eBooks |
Contents: | Recurrence Relations |
Power Series Expansions | |
Continued Fraction Expansions | |
Asymptotic Expansions | |
Solution of Nonlinear Equations | |
Vector and Matrix Norms | |
Linear Regression and Matrix Inversion | |
Eigenvalues and Eigenvectors | |
Singular Value Decomposition | |
Splines | |
Optimization Theory | |
The MM Algorithm | |
The EM Algorithm | |
Newtons Method and Scoring | |
Local and Global Convergence | |
Advanced Optimization Topics | |
Concrete Hilbert Spaces | |
Quadrature Methods | |
The Fourier Transform | |
The Finite Fourier Transform | |
Wavelets | |
Generating Random Deviates | |
Inde | |
ISBN: | 9781441959454 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics and Computing, 1431-8784 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics |
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Call number: | SPRINGER-2009-9783034600309:ONLINE Show nearby items on shelf |
Title: | Fractal Geometry and Stochastics IV [electronic resource] |
Author(s): |
Christoph Bandt Martina Zhle Peter Mrters |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developmentsin mathematical model ing of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articlescovering many of the most recent developments, l ike Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference FractalGeometry and Stochastics IV at Greifswald in September 2008 |
Note: | Springer eBooks |
Contents: | Analysis on Fractals |
Heat Kernels on Metric Spaces with Doubling Measure | |
Self | |
similarity and Random Walks | |
Conformal Dynamics and Schramm | |
Loewner Evolution | |
Multifractal Analysis of the Reverse Flow for the Schramm | |
Loewner Evolution | |
Random Fractal Processes | |
From Fractals and Probability to Lvy Processes and Stochastic PDEs | |
Emergence of Fractals in Complex Systems | |
A Survey of Dynamical Percolation | |
Measure | |
valued Processes, Self | |
similarity and Flickering Random Measures | |
Random Maps and Their Scaling Limits | |
Iterated Function Schemes and Transformations of Fractals | |
ISBN: | 9783034600309 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Probability : v61 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2005-9780817644284:ONLINE Show nearby items on shelf |
Title: | An Introduction to Continuous-Time Stochastic Processes [electronic resource] Theory, Models, and Applications to Finance, Biology, and Medicine |
Author(s): |
Vincenzo Capasso David Bakstein |
Date: | 2005 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-worldproblems from biology, me dicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics covered include: * Interacting particles and agent-basedmodels: from polymers to ants * Population dyna mics: from birth and death processes to epidemics * Financial market models: the non-arbitrage principle * Contingent claim valuation models: the risk-neutral valuation theory * Riskanalysis in insurance An Introduction to Continuous-Time Stochastic Proce sses will be of interest to a broad audience of students, pure and applied mathematicians, and researchers or practitioners in mathematical finance,biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or advanced undergradua te courses, the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and someanalysis exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided |
Note: | Springer eBooks |
Contents: | Preface |
Part I: The Theory of Stochastic Processes | |
Fundamentals of Probability | |
Stochastic Processes | |
The Ito Integral | |
Stochastic Differential Equations | |
Part II: The Applications of Stochastic Processes | |
Applications to Finance and Insurance | |
Applications to Biology and Medicine | |
Part III: Appendices | |
A. Measure and Integration | |
B. Convergence of Probability Measures on Metric Spaces | |
C. Maximum Principles of Elliptic and Parabolic Operators | |
D. Stability of Ordinary Differential Equations | |
References | |
ISBN: | 9780817644284 |
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 , Finance , Distribution (Probability theory) , Engineering mathematics |
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Call number: | SPRINGER-2004-9789401704274:ONLINE Show nearby items on shelf |
Title: | A Celebration of Mathematical Modeling The Joseph B. Keller Anniversary Volume |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (241 p.) |
Note: | 10.1007/978-94-017-0427-4 |
Contents: | Monte Carlo Simulation for American Options -- Some Problems in Electromagnetics -- Pattern Formation in a Suspension of Swimming Microorganisms: Nonlinear Aspects -- Non-Reflecting Boundaries: High-Order Treatment -- Nonreflecting |
Boundary Conditions for Time Dependent Waves -- Weak Shock Reflection -- Bifurcation Theory, Symmetry Breaking and Homogenization in Continuum Mechanics Descriptions of DNA -- On Flames as Discontinuity Surfaces in Gasdynamic Flows -- | |
Contact Lines -- Eikonal Functions: Old and New -- Physical Insight, Mathematical Modeling and Asymptotics -- Waves, Bubbles and Jets | |
ISBN: | 9789401704274 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Mathematical models , Biomathematics , Physics , Mathematics , Mathematical Modeling and Industrial Mathematics , Theoretical, Mathematical and Computational Physics , Applications of Mathematics , Mathematical and Computational Biology |
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Call number: | SPRINGER-2004-9783764377922:ONLINE Show nearby items on shelf |
Title: | Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws |
Author(s): |
François Bouchut |
Date: | 2004 |
Size: | 1 online resource (134 p.) |
Note: | 10.1007/b93802 |
Contents: | Introduction -- 1. Quasilinear systems and conservation laws -- 2. Conservative schemes -- 3. Source terms -- 4. Nonconservative schemes -- 5. Multidimensional finite volumes with sources -- 6. Numerical test with source -- |
Bibliography | |
ISBN: | 9783764377922 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Partial differential equations , Numerical analysis , Biomathematics , Continuum physics , Mathematics , Partial Differential Equations , Numerical Analysis , Mathematical and Computational Biology , Classical Continuum Physics |
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Call number: | SPRINGER-2004-9783540398745:ONLINE Show nearby items on shelf |
Title: | Lectures on Probability Theory and Statistics Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001 |
Author(s): |
Simon Tavaré |
Date: | 2004 |
Size: | 1 online resource (316 p.) |
Note: | 10.1007/b95197 |
ISBN: | 9783540398745 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics, Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001: 1837 |
Keywords: | Mathematics , Probabilities , Biomathematics , Mathematics , Probability Theory and Stochastic Processes , Genetics and Population Dynamics |
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Call number: | SPRINGER-2004-9783034879644:ONLINE Show nearby items on shelf |
Title: | Travelling Waves in Nonlinear Diffusion-Convection Reaction |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (210 p.) |
Note: | 10.1007/978-3-0348-7964-4 |
Contents: | 1 Introduction -- 2 General theory -- 2.1 Basic hypotheses -- 2.2 Integral equation theory -- 2.3 Proof of equivalence -- 2.4 Illustration of difficulties -- 2.5 Further properties -- 2.6 Classical results -- Bibliographical notes -- |
3 Transformations -- Bibliographical notes -- 4 Travelling waves -- 4.1 Admissible wave speeds -- 4.2 Number of solutions -- Bibliographical notes -- 5 Convection-diffusion -- Bibliographical notes -- 6 Reaction-diffusion -- 6.1 Sink | |
term -- 6.2 Source term -- 6.3 Smooth coefficients -- Bibliographical notes -- 7 Power-law equations -- Bibliographical notes -- 8 Wavefronts -- 8.1 Admissible wave speeds -- 8.2 Number of wavefronts -- 8.3 Illustrations -- 8.4 | |
Multiple equilibria -- Bibliographical notes -- 9 Wavefronts for convection-diffusion -- Bibliographical notes -- 10 Wavefronts for reaction-diffusion -- 10.1 Fixed sign -- 10.2 One sign change -- 10.3 Smooth coefficients -- | |
Bibliographical notes -- 11 Unbounded waves -- 12 Wavefronts and unbounded waves for power-law equations -- 12.1 Convection-diffusion -- 12.2 Reaction-diffusion with linear convection -- 12.3 Reaction-convection-diffusion -- | |
Bibliographical notes -- 13 Explicit travelling-wave solutions -- 13.1 Power-law equations -- 13.2 Generalizations of the Fisher equation -- 13.3 Generating further explicit solutions -- Bibliographical notes | |
ISBN: | 9783034879644 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 60 |
Keywords: | Mathematics , Partial differential equations , Biomathematics , Mathematics , Partial Differential Equations , Genetics and Population Dynamics , Physiological, Cellular and Medical Topics |
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Call number: | SPRINGER-2004-9783034878951:ONLINE Show nearby items on shelf |
Title: | Function and Regulation of Cellular Systems |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (23 p.) |
Note: | 10.1007/978-3-0348-7895-1 |
Contents: | to Part I -- A Functional Dynamics Approach to Modelling of Glycolysis -- Temperature-Compensation in Biological Clocks:Models and Experiments -- Metabolic Control Analysis of the ATPase Network in Contracting Muscle:Regulation of |
Contractile Function and ATP Free Energy Potential -- En Route for Systems Biology: In Silico Pathway Analysis and Metabolite Profiling -- to Part II -- Presynaptic Calcium Dynamics of Neurons in Answer to VariousStimulation Protocols | |
-- Mathematical Modeling of Signaling Cascades: Principles and Future Prospects -- Collective Behavior of Membrane Channels: Electro-physiological Studies on Gap Junctions -- Modelling of Periodic Intercellular Ca2+ Waves -- Travelling | |
Waves as a Mechanism of Pattern Generation in Discrete Cell Lattices -- Design and Operation: Keys to Understanding Biological Systems -- to Part III -- Biopolymer Dynamics -- Micromechanics of Molecular Motors: Experiments and Theory | |
-- The Role of Osteocalcin in the Remodeling of Biomimetic Hydroxyapatite-Collagen Materials for Bone Replacement -- Cell Shape Normalization of Normal and Haploinsufficient NF1-Melanocytes by Micro-Structured Substrate Interaction -- | |
Quantification of Shear Stress-Induced Cell Migration in Endothelial Cultures -- to Part IV -- Constructive and Dynamical Systems Approach to Life -- Coherent Dynamics in Networks of Single Protein Molecules -- Gene Regulatory | |
Networks: A Discrete Model of Dynamics and Topological Evolution -- Evolutionary Reconstruction of Networks -- Modelling Simple Biochemical Networks -- On the Evolution of Information in the Constituents of Regulatory Gene Networks -- | |
to Part V -- Biological Relevance of Tissue Liquidity and Viscoelasticity -- Reinforcement of Cytoskeleton-Matrix Bonds and Tensiotaxis: A Cell-Based Model -- Simulation of Haematopoietic Stem Cell Organisation Using a Single Cell | |
Based Model Approach -- Pattern Formation in an Interacting Cell System: Rippling in Myxobacterial Aggregates -- to Part VI -- Molecular and Cellular Analysis of De Novo Pattern Formation in Hydra -- The Small Freshwater Polyp Hydra as | |
a Model for Axis Formationin Higher Organisms -- Cell Migration, Cell Fate and Pattern Formation During Head Development in Lungfishes and Amphibians -- Cell-Based Modelling of Tissues -- to Part VII -- Cell-Based Models of Avascular | |
Tumor Growth -- Solid Tumor Invasion: The Importance of Cell Adhesion -- Interrelationship of Tumor and Immune System -- Nonlinear Dynamics and Statistical Physics of Models for the Immune System -- Stochastic Model of Influenza Virus | |
Fusion -- Spatio-Temporal Aspects of a Dynamical Disease: Waves of Spreading Depression -- List of contributors -- Color Plates | |
ISBN: | 9783034878951 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer simulation , Bioinformatics , Computational biology , System theory , Biomathematics , Mathematics , Mathematical and Computational Biology , Simulation and Modeling , Systems Theory, Control , Computer Appl. in Life Sciences , Physiological, Cellular and Medical Topics |
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Call number: | SPRINGER-2004-9781461302179:ONLINE Show nearby items on shelf |
Title: | Applied Bayesian Statistical Studies in Biology and Medicine |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (258 p.) |
Note: | 10.1007/978-1-4613-0217-9 |
Contents: | 1. Some reflections on the current state of statistics -- 2. Answering two biological questions with a latent class model via MCMC applied to capture-recapture data -- 3. On the Bayesian inference of the Hardy-Weinberg equilibrium |
model -- 4. Identifying a Bayesian Network for the problem “Hospital and families: the analysis of patient satisfaction with their stay in hospital” -- 5. Reliability of GIST diagnosis based on partial information -- 6. Comparing two | |
groups or treatments-a Bayesian approach -- 7. Two experimental settings in clinical trials: predictive criteria for choosing the sample size in interval estimation -- 8. Attributing a paleoanthropological specimen to a prehistoric | |
population: a Bayesian approach with multivariate B-spline functions -- 9. An example of the subjectivist statistical method for learning from data: Why do whales strand when they do? -- 10. Development and communication of Bayesan | |
methodology for medical device clinical trials -- 11. An adaptive SIR algorithm for Bayesian multilevel inference on categorical data -- 12. Age at death diagnosis by cranial suture obliteration: a Bayesian approach -- 13. Bayesian | |
estimation of restriction fragment length from electrophoretic analysis | |
ISBN: | 9781461302179 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Statistics , Human genetics , Public health , Biomathematics , Anthropology , Statistics , Statistics for Life Sciences, Medicine, Health Sciences , Public Health , Mathematical and Computational Biology , Anthropology , Human Genetics |
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Call number: | SPRINGER-2004-9781402024979:ONLINE Show nearby items on shelf |
Title: | Potential Theory and Right Processes |
Author(s): |
Lucian Beznea |
Date: | 2004 |
Size: | 1 online resource (370 p.) |
Note: | 10.1007/978-1-4020-2497-9 |
Contents: | 1 Excessive Functions -- 1.1 Sub-Markovian resolvent of kernels -- 1.2 Basics on excessive functions -- 1.3 Fine topology -- 1.4 Excessive measures -- 1.5 Ray topology and compactification -- 1.6 The reduction operation and the |
associated capacities -- 1.7 Polar and semipolar sets. Nearly measurable functions -- 1.8 Probabilistic interpretations: Sub-Markovian resolvents and right processes -- 2 Cones of Potentials and H-Cones -- 2.1 Basics on cones of | |
potentials and H-cones -- 2.2 ?-Balayages on cones of potentials -- 2.3 Balayages on H-cones -- 2.4 Quasi bounded, subtractive and regular elements of a cone of potentials -- 3 Fine Potential Theoretical Techniques -- 3.1 Cones of | |
potentials associated with a sub-Markovian resolvent -- 3.2 Regular excessive functions, fine carrier and semipolarity -- 3.3 Representation of balayages on excessive measures -- 3.4 Quasi bounded, regular and subtractive excessive | |
measures -- 3.5 Tightness for sub-Markovian resolvents -- 3.6 Localization in excessive functions and excessive measures -- 3.7 Probabilistic interpretations: Continuous additive functionals and standardness -- 4 Strongly Supermedian | |
Functions and Kernels -- 4.1 Supermedian functionals -- 4.2 Supermedian ?-quasi kernels -- 4.3 Strongly supermedian functions -- 4.4 Fine densities -- 4.5 Probabilistic interpretations: Homogeneous random measures -- 5 Subordinate | |
Resolvents -- 5.1 Weak subordination operators -- 5.2 Inverse subordination -- 5.3 Probabilistic interpretations: Multiplicative functionals -- 6 Revuz Correspondence -- 6.1 Revuz measures -- 6.2 Hypothesis (B) of Hunt -- 6.3 Smooth | |
measures and sub-Markovian resolvents -- 6.4 Measure perturbation of sub-Markovian resolvents -- 6.5 Probabilistic interpretations: Positive left additive functionals -- 7 Resolvents under Weak Duality Hypothesis -- 7.1 Weak duality | |
hypothesis -- 7.2 Natural potential kernels and the Revuz correspondence -- 7.3 Smooth and cosmooth measures -- 7.4 Subordinate resolvents in weak duality -- 7.5 Semi-Dirichlet forms -- 7.6 Weak duality induced by a semi-Dirichlet form | |
-- 7.7 Probabilistic interpretations: Multiplicative functionals in weak duality -- A Appendix -- A.1 Complements on measure theory, kernels, Choquet boundary and capacity -- A.2 Complements on right processes -- A.4 Basics on coercive | |
closed bilinear forms -- Notes | |
ISBN: | 9781402024979 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 572 |
Keywords: | Mathematics , Potential theory (Mathematics) , Applied mathematics , Engineering mathematics , Probabilities , Biomathematics , Mathematics , Potential Theory , Probability Theory and Stochastic Processes , Applications of Mathematics , Mathematical and Computational Biology |
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Call number: | SPRINGER-2004-9780387218229:ONLINE Show nearby items on shelf |
Title: | Mathematical Population Genetics I. Theoretical Introduction |
Author(s): |
Warren J Ewens |
Date: | 2004 |
Edition: | Second Edition |
Size: | 1 online resource (418 p.) |
Note: | 10.1007/978-0-387-21822-9 |
Contents: | 1 Historical Background -- 1.1 Biometricians, Saltationists and Mendelians -- 1.2 The Hardy-Weinberg Law -- 1.3 The Correlation Between Relatives -- 1.4 Evolution -- 1.5 Evolved Genetic Phenomena -- 1.6 Modelling -- 1.7 Overall |
Evolutionary Theories -- 2 Technicalities and Generalizations -- 2.1 Introduction -- 2.2 Random Union of Gametes -- 2.3 Dioecious Populations -- 2.4 Multiple Alleles -- 2.5 Frequency-Dependent Selection -- 2.6 Fertility Selection -- | |
2.7 Continuous-Time Models -- 2.8 Non-Random-Mating Populations -- 2.9 The Fundamental Theorem of Natural Selection -- 2.10 Two Loci -- 2.11 Genetic Loads -- 2.12 Finite Markov Chains -- 3 Discrete Stochastic Models -- 3.1 Introduction | |
-- 3.2 Wright-Fisher Model: Two Alleles -- 3.3 The Cannings (Exchangeable) Model: Two Alleles -- 3.4 Moran Models: Two Alleles -- 3.5 K-Allele Wright-Fisher Models -- 3.6 Infinitely Many Alleles Models -- 3.7 The Effective Population | |
Size -- 3.8 Frequency-Dependent Selection -- 3.9 Two Loci -- 4 Diffusion Theory -- 4.1 Introduction -- 4.2 The Forward and Backward Kolmogorov Equations -- 4.3 Fixation Probabilities -- 4.4 Absorption Time Properties -- 4.5 The | |
Stationary Distribution -- 4.6 Conditional Processes -- 4.7 Diffusion Theory -- 4.8 Multi-dimensional Processes -- 4.9 Time Reversibility -- 4.10 Expectations of Functions of Diffusion Variables -- 5 Applications of Diffusion Theory -- | |
5.1 Introduction -- 5.2 No Selection or Mutation -- 5.3 Selection -- 5.4 Selection: Absorption Time Properties -- 5.5 One-Way Mutation -- 5.6 Two-Way Mutation -- 5.7 Diffusion Approximations and Boundary Conditions -- 5.8 Random | |
Environments -- 5.9 Time-Reversal and Age Properties -- 5.10 Multi-Allele Diffusion Processes -- 6 Two Loci -- 6.1 Introduction -- 6.2 Evolutionary Properties of Mean Fitness -- 6.3 Equilibrium Points -- 6.4 Special Models -- 6.5 | |
Modifier Theory -- 6.6 Two-Locus Diffusion Processes -- 6.7 Associative Overdominance and Hitchhiking -- 6.8 The Evolutionary Advantage of Recombination -- 6.9 Summary -- 7 Many Loci -- 7.1 Introduction -- 7.2 Notation -- 7.3 The | |
Random Mating Case -- 7.4 Non-Random Mating -- 7.5 The Correlation Between Relatives -- 7.6 Summary -- 8 Further Considerations -- 8.1 Introduction -- 8.2 What is Fitness? -- 8.3 Sex Ratio -- 8.4 Geographical Structure -- 8.5 Age | |
Structure -- 8.6 Ecological Considerations -- 8.7 Sociobiology -- 9 Molecular Population Genetics: Introduction -- 9.1 Introduction -- 9.2 Technical Comments -- 9.3 Infinitely Many Alleles Models: Population Properties. -- 9.4 | |
Infinitely Many Sites Models: Population Properties -- 9.5 Sample Properties of Infinitely Many Alleles Models. -- 9.6 Sample Properties of Infinitely Many Sites Models -- 9.7 Relation Between Infinitely Many Alleles and Infinitely | |
Many Sites Models -- 9.8 Genetic Variation Within and Between Populations -- 9.9 Age-Ordered Alleles: Frequencies and Ages -- 10 Looking Backward in Time: The Coalescent -- 10.1 Introduction -- 10.2 Competing Poisson and Geometric | |
Processes -- 10.3 The Coalescent Process -- 10.4 The Coalescent and Its Relation to Evolutionary Genetic Models -- 10.5 Coalescent Calculations: Wright-Fisher Models -- 10.6 Coalescent Calculations: Exact Moran Model Results -- 10.7 | |
General Comments -- 10.8 The Coalescent and Human Genetics -- 11 Looking Backward: Testing the Neutral Theory -- 11.1 Introduction -- 11.2 Testing in the Infinitely Many Alleles Models -- 11.3 Testing in the Infinitely Many Sites | |
Models -- 12 Looking Backward in Time: Population and Species Comparisons -- 12.1 Introduction -- 12.2 Various Evolutionary Models -- 12.3 Some Implications -- 12.4 Statistical Procedures -- Appendix A: Eigenvalue Calculations -- | |
References -- Author Index | |
ISBN: | 9780387218229 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 27 |
Keywords: | Life sciences , Biochemistry , Evolutionary biology , Applied mathematics , Engineering mathematics , Biomathematics , Life Sciences , Biochemistry, general , Applications of Mathematics , Evolutionary Biology , Genetics and Population Dynamics , Mathematical and Computational Biology |
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Call number: | SPRINGER-2003-9789401715065:ONLINE Show nearby items on shelf |
Title: | Evolution of Biological Systems in Random Media: Limit Theorems and Stability |
Author(s): |
Anatoly Swishchuk |
Date: | 2003 |
Size: | 1 online resource (218 p.) |
Note: | 10.1007/978-94-017-1506-5 |
Contents: | 1 Random Media -- 2 Limit Theorems for Difference Equations in Random Media -- 3 Epidemic Models -- 4 Genetic Selection Models -- 5 Branching Models -- 6 Demographic Models -- 7 Logistic Growth Models -- 8 Predator-Prey Models |
ISBN: | 9789401715065 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematical Modelling: Theory and Applications: 18 |
Keywords: | Mathematics , Human genetics , Epidemiology , Probabilities , Biomathematics , Population , Mathematics , Mathematical and Computational Biology , Probability Theory and Stochastic Processes , Epidemiology , Human Genetics , Population Economics |
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Call number: | SPRINGER-2003-9784431659587:ONLINE Show nearby items on shelf |
Title: | Morphogenesis and Pattern Formation in Biological Systems Experiments and Models |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (32 p.) |
Note: | 10.1007/978-4-431-65958-7 |
Contents: | Models for Morphogenesis and Pattern Formation -- Pattern Forming Reactions and the Generation of Primary Embryonic Axes -- Spatial Pattern Formation and Morphogenesis in Development: Recent Progress for Two Model Systems -- Alan |
Turing and “The Chemical Basis of Morphogenesis” -- On the Stochastic Geometry of Growth -- The Moving Grid Finite Element Method Applied to Biological Problems -- Morphogenesis and Pattern Formation in Animals -- Regulation of Pattern | |
Formation by the Interaction between Growth Factors and Proteoglycans -- Changing Roles of Homeotic Gene Functions in Arthropod Limb Development -- Variation, Adaptation and Developmental Constraints in the Mimetic Butterfly Papilio | |
dardanus -- Formation of New Organizing Regions by Cooperation of hedgehog, wingless, and dpp in Regeneration of the Insect Leg a Verification of the Boundary Model -- The Heterotopic Shift in Developmental Patterns and Evolution of | |
the Jaw in Vertebrates -- Morphogenesis and Pattern Formation in Plants -- The Development of Cell Pattern in the Arabidopsis Root Epidermis -- Pattern Formation during Dicotyledonous Plant Embryogenesis -- Regulation of Inflorescence | |
Architecture and Organ Shape by the ERECTA Gene in Arabidopsis -- Axis-dependent Regulation of Lateral Organ Development in Plants -- Formation of a Symmetric Flat Leaf Lamina in Arabidopsis -- Morphogenesis and Pattern Formation | |
Viewed from the Behaviour of Individual Cells -- Pattern Formation by Cell Movement in Closely-Packed Tissues -- Positioning of Cells at their Intrinsic Sites in Multicellular Organisms -- Spatial Pattern and Structure Formation in | |
Ecological Systems -- Biological Invasion into Periodically Fragmented Environments: A Diffusion-Reaction Model -- Spatial Pattern Formation in Plant Communities -- The Mode of Competition and Spatial Pattern Formation in Plant | |
Communities -- Formation of a Structure of Exponentially Forking Branches with a Steady-state Amount of Current-year Shoots in a Hardwood Tree Crown -- Spatio-Temporal Pattern Formation in Epidemiology -- Patterns in Epidemiology of | |
Sexually Transmitted Diseases in Human Populations -- Backward Bifurcation in a Model for Vector Transmitted Disease -- Morphogenesis and Pattern Formation in Medicine -- Mathematical Modelling of Solid Tumour Growth: Applications of | |
Pre-pattern Formation -- The Formation of Branching Systems in Human Organs -- Computer Simulation on Morphogenesis of Colonic Neoplasia -- The Effects of Cell Adhesion on Solid Tumour Geometry -- Diversity of Biological Patterns in | |
the Fossil Record and Their Meaning in Morphological Evolution -- Pattern Formation and Function in Palaeobiology -- Why do Univalve Shells of Gastropods Coil so Tightly? A Head-Foot Guidance Model of Shell Growth and its Implication | |
on Developmental Constraints -- Computer Modeling of Microscopic Features of Molluscan Shells -- How Anomalocaris Swam in the Cambrian Sea A Theoretical Study Based on Hydrodynamics -- Morphology and Function of Cuticular Terraces in | |
Stomatopoda (Crustacea) and Mantodea (Insecta) | |
ISBN: | 9784431659587 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Infectious diseases , Oncology , Biodiversity , Evolutionary biology , Biomathematics , Mathematics , Mathematical and Computational Biology , Infectious Diseases , Oncology , Biodiversity , Evolutionary Biology |
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Call number: | SPRINGER-2003-9783662052525:ONLINE Show nearby items on shelf |
Title: | Magnetic Resonance Imaging Theory and Practice |
Author(s): |
Marinus T Vlaardingerbroek |
Date: | 2003 |
Edition: | Third Edition |
Size: | 1 online resource (500 p.) |
Note: | 10.1007/978-3-662-05252-5 |
Contents: | Magnetic Resonance Imaging: A Historical Introduction -- 1. MRI and Its Hardware -- 2.Conventional Imaging Methods -- 3. Imaging Methods with Advanced % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % |
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aaaa!36F6! $$\vec k $$ -Space Trajectories -- 4. Steady-State Gradient-Echo Imaging -- 5. Transient-State Gradient-Echo Imaging -- 6. Contrast and Signal-to-Noise Ratio -- 7. Motion and Flow -- 8. Partitioning of the Magnetization into | |
Configurations -- References -- Index of Abbreviated Terms | |
ISBN: | 9783662052525 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Health informatics , Nuclear medicine , Biomathematics , Solid state physics , Spectroscopy , Microscopy , Biomedical engineering , Physics , Solid State Physics , Spectroscopy and Microscopy , Nuclear Medicine , Biomedical Engineering , Health Informatics , Physiological, Cellular and Medical Topics |
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Call number: | SPRINGER-2003-9783662050484:ONLINE Show nearby items on shelf |
Title: | Epilepsy as a Dynamic Disease |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (417 p.) |
Note: | 10.1007/978-3-662-05048-4 |
Contents: | 1 Medically Intractable Epilepsy -- 2 Insights into Seizure Propagation from Axonal Conduction Times -- 3 Dynamic Epileptic Systems Versus Static Epileptic Foci? -- 4 Neuroglia, the Other Brain Cells -- 5 The Electroencephalogram |
(EEG): A Measure of Neural Synchrony -- 6 Electrocorticographic Coherence Patterns of Epileptic Seizures -- 7 Synchronization of Synaptically-Coupled Neural Oscillators -- 8 Controling Neural Synchrony with Periodic and Aperiodic | |
Stimuli -- 9 Modeling Pattern Formation in Excitable Media: The Legacy of Norbert Wiener -- 10 Are Cardiac Waves Relevant to Epileptic Wave Propagation? -- 11 Pattern Formation in the Microbial World: Dictyostelium Discoideum -- 12 | |
Predicting Epileptic Seizures -- 13 Comparison of Methods for Seizure Detection -- 14 Direct Deep Brain Stimulation: First Steps Towards the Feedback Control of Seizures -- 15 Seizure Control Using Feedback and Electric Fields -- 16 | |
Aborting Seizures with a Single Stimulus: The Case for Multistability -- 17 Unstable Periodic Orbits (UPOs) and Chaos Control in Neural Systems -- 18 Prospects for Building a Therapeutic Cortical Stimulator -- 19 Brain Defibrillators: | |
Synopsis, Problems and Future Directions -- Color Plates -- References | |
ISBN: | 9783662050484 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Neurosciences , Neurology , Biomathematics , Solid state physics , Biophysics , Biological physics , Spectroscopy , Microscopy , Physics , Biophysics and Biological Physics , Neurology , Physiological, Cellular and Medical Topics , Neurosciences , Solid State Physics , Spectroscopy and Microscopy |
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Call number: | SPRINGER-2003-9783034880855:ONLINE Show nearby items on shelf |
Title: | Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics EVEQ2000 Conference in Levico Terme (Trento, Italy), October 30–November 4, 2000 |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (424 p.) |
Note: | 10.1007/978-3-0348-8085-5 |
Contents: | Preface -- Evolution problems associated to linear growth functionals: the Dirichlet problem -- Time operators associated to dilations of Markov processes -- Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions |
with constraints -- On a convolution-evolution equation in aeroelasticity -- On the effect of small delays to the stability of feedback systems -- Mean square continuity of Ornstein-Uhlenbeck processes in Banach spaces -- Some remarks | |
on maximal regularity of parabolic problems -- A semigroup approach to no-arbitrage pricing theory: constant elasticity variance model and term structure models -- Perturbations of Ornstein-Uhlenbeck operators: an analytic approach -- | |
Towards an L1-theory for vector-valued elliptic boundary value problems -- On moving boundaries in elliptic-parabolic systems -- Spectral mapping theorems and spectral space-independence -- The Laplacian with generalized Wentzell | |
boundary conditions -- Consistency and stabilization of rational approximation schemes for Co-semigroups -- Poincaré’s inequality on stratified sets and applications -- Variational principles for granular matter -- Homogeneous | |
dynamical systems and the age-structured SIR model with proportionate mixing incidence -- Asymptotic behaviour of solutions of nonlinear Volterra equations -- Semigroups for initial boundary value problems -- Maximal Lp-regularity for | |
second order elliptic operators with uniformly continuous coefficients on domains -- An age structured S.I. epidemic problem in a heterogeneous environment -- A general “isotropic” Paley-Wiener theorem and some of its applications -- | |
Asymptotic stability for a functional differential equation in Hilbert space -- Self-intersections for Willmore flow -- Chernoff's theorem and the construction of semigroups -- Harmonic map heat flow generated by Markovian semigroups | |
-- The Hamilton-Jacobi-Bellman equation and the stochastic Noether theorem -- Marcinkiewicz and Mihlin multiplier theorems, and R-boundedness -- Quasilinear P.D.E.s with memory operators | |
ISBN: | 9783034880855 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 55 |
Keywords: | Mathematics , Algebra , Partial differential equations , Game theory , Probabilities , Biomathematics , Mathematics , Algebra , Partial Differential Equations , Game Theory, Economics, Social and Behav. Sciences , Genetics and Population Dynamics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-2003-9783034880435:ONLINE Show nearby items on shelf |
Title: | Polymer and Cell Dynamics Multiscale Modeling and Numerical Simulations |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (308 p.) |
Note: | 10.1007/978-3-0348-8043-5 |
Contents: | to Part I -- Molecular Dynamics Studies of Micelle and Capsid Self-assembly -- A Functional Study on Saposin B and C Using Experimentally Validated Models -- A Review of the Morph Server and the Macromolecular Motions Database: A |
Standardized System for Analyzing and Visualizing Macromolecular Motions in a Database Framework -- to Part II -- Brownian Dynamics of Flexible Polymers in Flow -- A Microscopic Model for the Dynamics of Actin Filaments in Motility | |
Assays and Its Numerical Simulation -- Multiparticle Modeling of Actin-Myosin Networks: From Molecular Interactions to Cell Motility -- Analysis of Cell Motility Combining Cytomechanical Model Simulations and an Optical Flow Method -- | |
Micropipet Aspiration of the Human Neutrophil -- Physical-object-oriented 3D Simulations of Cell Deformations and Migration -- to Part III -- Computational Modeling of Blood Clotting: Coagulation and Three-dimensional Platelet | |
Aggregation -- Space-and Time-resolved Simulations of Processes in Biofilm Systems on a Microscale -- On Selected Individual-based Approaches to the Dynamics in Multicellular Systems -- Individual-based Models of Cohort Migration in | |
Cell Cultures -- Interactive Movement, Aggregation, and Swarm Dynamics -- A Discrete-cell Model of Tissue-equivalent Compaction -- A Hybrid Discrete-continuum Technique for Individual-based Migration Models -- Application of the Hybrid | |
Discrete-continuum Technique -- List of contributors and workshop participants | |
ISBN: | 9783034880435 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer simulation , Biomathematics , Mathematics , Mathematical and Computational Biology , Simulation and Modeling |
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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-2003-9781441991683:ONLINE Show nearby items on shelf |
Title: | Global Bifurcation Theory and Hilbert’s Sixteenth Problem |
Author(s): |
Valery A Gaiko |
Date: | 2003 |
Size: | 1 online resource (182 p.) |
Note: | 10.1007/978-1-4419-9168-3 |
ISBN: | 9781441991683 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 562 |
Keywords: | Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential equations , Applied mathematics , Engineering mathematics , Mathematical models , Biomathematics , Mathematics , Ordinary Differential Equations , Global Analysis and Analysis on Manifolds , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Mathematical and Computational Biology |
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Call number: | SPRINGER-2003-9780387224381:ONLINE Show nearby items on shelf |
Title: | Mathematical Biology II: Spatial Models and Biomedical Applications |
Author(s): | |
Date: | 2003 |
Edition: | Third Edition |
Size: | 1 online resource (814 p.) |
Note: | 10.1007/b98869 |
Contents: | Multi-Species Waves and Practical Applications -- Spatial Pattern Formation with Reaction Diffusion Systems -- Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms -- Pattern Formation on Growing |
Domains: Alligators and Snakes -- Bacterial Patterns and Chemotaxis -- Mechanical Theory for Generating Pattern and Form in Development -- Evolution, Morphogenetic Laws, Developmental Constraints and Teratologies -- A Mechanical Theory | |
of Vascular Network Formation -- Epidermal Wound Healing -- Dermal Wound Healing -- Growth and Control of Brain Tumours -- Neural Models of Pattern Formation -- Geographic Spread and Control of Epidemics -- Wolf Territoriality, | |
Wolf-Deer Interaction and Survival | |
ISBN: | 9780387224381 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 18 |
Keywords: | Mathematics , Community ecology, Biotic , Biomathematics , Biophysics , Biological physics , Biomedical engineering , Mathematics , Mathematical and Computational Biology , Biophysics and Biological Physics , Community & Population Ecology , Biomedical Engineering |
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Call number: | SPRINGER-2003-9780387217611:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems in Population Biology |
Author(s): |
Xiao-Qiang Zhao |
Date: | 2003 |
Size: | 1 online resource (276 p.) |
Note: | 10.1007/978-0-387-21761-1 |
Contents: | 1 Dissipative Dynamical Systems -- 2 Monotone Dynamics -- 3 Nonautonomous Semiflows -- 4 A Discrete-Time Chemostat Model -- 5 N-Species Competition in a Periodic Chemostat -- 6 Almost Periodic Competitive Systems -- 7 |
Competitor—Competitor—Mutualist Systems -- 8 A Periodically Pulsed Bioreactor Model -- 9 A Nonlocal and Delayed Predator—Prey Model -- 10 Traveling Waves in Bistable Nonlinearities -- References | |
ISBN: | 9780387217611 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Dynamics , Ergodic theory , Biomathematics , Mathematics , Dynamical Systems and Ergodic Theory , Genetics and Population Dynamics |
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Call number: | SPRINGER-2003-9780387216409:ONLINE Show nearby items on shelf |
Title: | Nonlinear Dynamics in Physiology and Medicine |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (436 p.) |
Note: | 10.1007/978-0-387-21640-9 |
Contents: | 1 Theoretical Approaches in Physiology -- 2 Introduction to Dynamics in Nonlinear Difference and Differential Equations -- 3 Bifurcations Involving Fixed Points and Limit Cycles in Biological Systems -- 4 Dynamics of Excitable Cells |
-- 5 Resetting and Entraining Biological Rhythms -- 6 Effects of Noise on Nonlinear Dynamics -- 7 Reentry in Excitable Media -- 8 Cell Replication and Control -- 9 Pupil Light Reflex: Delays and Oscillations -- 10 Data Analysis and | |
Mathematical Modeling of Human Tremor -- A An Introduction to XPP -- Michael C. Mackey -- A.1 ODE Files -- A.2 Starting and Quitting XPP -- A.3 Time Series -- A.4 Numerics -- A.5 Graphic Tricks -- A.5.1 Axis -- A.5.2 Multiplotting -- | |
A.5.3 Erasing -- A.5.4 Printing the Figures -- A.6 Examining the Numbers -- A.7 Changing the Initial Condition -- A.8 Finding the Fixed Points and Their Stability -- A.9 Drawing Nullclines and Direction Field -- A.10 Changing the | |
Parameters -- A.11 Auto -- A.11.1 Bifurcation Diagram -- A.11.2 Scrolling Through the Points on the Bifurcation Diagram -- A.12 Saving Auto Diagrams -- B An Introduction to Matlab -- Michèle S. Titcombe and Caroline Haurie -- R.1 | |
Starting and Quitting Matlab -- B.2 Vectors and Matrices -- B 2 1 Creating Matrices and Vectors -- .B.3 Suppressing Output to the Screen (the Semicolon!) -- B.4 Operations on Matrices -- B.5 Programs (M-Files) -- B.5.1 Script Files -- | |
B.5.2 Function Files -- B.6 The Help Command -- B.7 Loops -- B.8 Plotting -- B.8.1 Examples -- B.8.2 Clearing Figures and Opening New Figures -- B.8.3 Symbols and Colors for Lines and Points -- B.9 Loading Data -- B.9.1 Examples -- | |
B.10 Saving Your Work -- C Time Series Analysis -- Roderick Edwards and Michèle S. Titcombe -- C.1 The Distribution of Data Points -- C.2 Linear Processes -- C.3 Fourier Analysis | |
ISBN: | 9780387216409 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Interdisciplinary Applied Mathematics: 25 |
Keywords: | Mathematics , Neurosciences , Neurobiology , Biomathematics , Biophysics , Biological physics , Mathematics , Mathematical and Computational Biology , Neurosciences , Neurobiology , Biophysics and Biological Physics |
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Call number: | SPRINGER-2002-9783662050187:ONLINE Show nearby items on shelf |
Title: | Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations |
Author(s): |
Ernst Hairer |
Date: | 2002 |
Size: | 1 online resource (515 p.) |
Note: | 10.1007/978-3-662-05018-7 |
Contents: | I. Examples and Numerical Experiments -- II. Numerical Integrators -- III. Order Conditions, Trees and B-Series -- IV. Conservation of First Integrals and Methods on Manifolds -- V. Symmetric Integration and Reversibility -- VI. |
Symplectic Integration of Hamiltonian Systems -- VII. Further Topics in Structure Preservation -- VIII. Structure-Preserving Implementation -- IX. Backward Error Analysis and Structure Preservation -- X. Hamiltonian Perturbation Theory | |
and Symplectic Integrators -- XI Reversible Perturbation Theory and Symmetric Integrators -- XII. Dissipatively Perturbed Hamiltonian and Reversible Systems -- XIII. Highly Oscillatory Differential Equations -- XIV. Dynamics of | |
Multistep Methods | |
ISBN: | 9783662050187 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Computational Mathematics: 31 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Numerical analysis , Biomathematics , Physics , Mathematics , Numerical Analysis , Analysis , Theoretical, Mathematical and Computational Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Mathematical and Computational Biology |
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Call number: | SPRINGER-2002-9783540456926:ONLINE Show nearby items on shelf |
Title: | Biological Evolution and Statistical Physics |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (342 p.) |
Note: | 10.1007/3-540-45692-9 |
Contents: | Molecular information and evolution -- Statistical significance and extremal ensemble of gapped local hybrid alignment -- On the design of optimization criteria for multiple sequence alignment -- Red queen dynamics and the evolution |
of translational redundancy and degeneracy -- A testable genotype-phenotype map: modeling evolution of RNA molecules -- Evolutionary perspectives on protein structure, stability, and functionality -- Phylogeny -- The statistical | |
approach to molecular phylogeny: Evidence for a nonhyperthermophilic common ancestor -- Principles of cophylogenetic maps -- Accounting for phylogenetic uncertainty in comparative studies of evolution and adaptation -- The‘ shape’ of | |
phylogenies under simple random speciation models -- The evolution of populations and species -- Fitness landscapes -- Tempo and mode in quasispecies evolution -- Multilevel processes in evolution and development: Computational models | |
and biological insights -- Evolutionary strategies for solving optimization problems -- Review of biological ageing on the computer -- Spatio-temporal modes of speciation -- Large-scale evolution -- Food web structure and the evolution | |
of ecological communities -- Dynamics and topology of species networks -- Modelling macroevolutionary patterns: An ecological perspective | |
ISBN: | 9783540456926 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 585 |
Keywords: | Life sciences , Bioinformatics , Evolutionary biology , Biomathematics , Biophysics , Biological physics , Statistical physics , Dynamical systems , Life Sciences , Evolutionary Biology , Statistical Physics, Dynamical Systems and Complexity , Biophysics and Biological Physics , Bioinformatics , Mathematical and Computational Biology |
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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-2002-9781475762853:ONLINE Show nearby items on shelf |
Title: | Probability Models for DNA Sequence Evolution |
Author(s): |
Rick Durrett |
Date: | 2002 |
Size: | 1 online resource (241 p.) |
Note: | 10.1007/978-1-4757-6285-3 |
Contents: | 1 Basic Models -- 2 Neutral Complications -- 3 Natural Selection -- 4 Statistical Tests -- 5 Genome Rearrangement -- References |
ISBN: | 9781475762853 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Probabilities , Biomathematics , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Life Sciences, Medicine, Health Sciences , Mathematical and Computational Biology |
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Call number: | SPRINGER-2002-9781461302650:ONLINE Show nearby items on shelf |
Title: | Markov Processes and Controlled Markov Chains |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (512 p.) |
Note: | 10.1007/978-1-4613-0265-0 |
Contents: | I Markov processes -- 1 Branching exit Markov system and their applications to partial differential equations -- 2 Feller transition functions, resolvent decomposition theorems, and their application in unstable denumerable Markov |
processes -- 3 Identifying Q-processes with a given finite ?-invariant measure -- 4 Convergence property of standard transition functions -- 5 Markov skeleton processes -- 6 Piecewise deterministic Markov processes and semi-dynamic | |
Systems -- II Controlled Markov chains and decision processes -- 7 Average optimality for adaptive Markov control processes with unbounded costs and unknown disturbance distribution -- 8 Controlled Markov chains with utility functions | |
-- 9 Classification problems in MDPs -- 10 Optimality conditions for CTMDP with average cost criterion -- 11 Optimal and nearly optimal policies in Markov decision chains with nonnegative rewards and risk-sensitive expected | |
total-reward criterion -- 12 Interval methods for uncertain Markov decision processes -- 13 Constrained discounted semi-Markov decision processes -- 14 Linear program for communicating MDPs with multiple constraints -- 15 Optimal | |
switching problem for Markov chains -- 16 Approximations of a controlled diffusion model for renewable resource exploitation -- III Stochastic processes and martingales -- 17 A Fleming-Viot process with unbounded selection, II -- 18 | |
Boundary theory for superdiffusions -- 19 On solutions of backward stochastic differential equations with jumps and stochastic control -- 20 Doob’s inequality and lower estimation of the maximum of martingales -- 21 The Hausdorff | |
measure of the level sets of Brownian motion on the Sierpinski carpet -- 22 Monotonic approximation of the Gittins index -- IV Applications to finance, control systems and other related fields -- 23 Optimal consumption-investment | |
decisions allowing for bankruptcy: A brief survey -- 24 The hedging strategy of an Asian option -- 25 The pricing of options to exchange one asset for another -- 26 Finite horizon portfolio risk models with probability criterion -- 27 | |
Long term average control of a local time process -- 28 Singularly perturbed hybrid control systems approximated by structured linear programs -- 29 The effect of stochastic disturbance on the solitary waves -- 30 Independent candidate | |
for Tierney model of H-M algorithms -- 31 How rates of convergence for Gibbs fields depend on the interaction and the kind of scanning used -- 32 Expected loss and availability of multistate repairable system | |
ISBN: | 9781461302650 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Operations research , Decision making , Mathematical models , Probabilities , Biomathematics , Physics , Mathematics , Probability Theory and Stochastic Processes , Operation Research/Decision Theory , Theoretical, Mathematical and Computational Physics , Mathematical and Computational Biology , Mathematical Modeling and Industrial Mathematics |
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Call number: | SPRINGER-2002-9781461300656:ONLINE Show nearby items on shelf |
Title: | Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (377 p.) |
Note: | 10.1007/978-1-4613-0065-6 |
Contents: | New directions in the mathematics of infectious disease -- Fred Brauer: The man and his mathematics -- Kenneth L. Cooke: Researcher, educator par excellence -- Maximal prevalence and the basic reproduction number in simple epidemics |
-- The transition through stages with arbitrary length distributions, and applications in epidemics -- Measles outbreaks are not chaotic -- Epidemics among a population of households -- Infection transmission dynamics and vaccination | |
program effectiveness as a function of vaccine effects in individuals -- The influence of different forms of cross-protective immunity on the population dynamics of antigenically diverse pathogens -- Dynamics of multiple strains of | |
infectious agents coupled by cross-immunity: A comparison of models -- Virulence evolution in macro-parasites -- Mathematical models for schistosomiasis with delays and multiple definitive hosts -- Infectious disease models with | |
chronological age structure and epidemiological age structure -- Effects of genetic heterogeneity on HIV transmission in homosexual populations -- Age-structured core group model and its impact on STD dynamics -- Global dynamics of | |
tuberculosis models with density dependent demography -- Global stability in some SEIR epidemic models -- The global stability analysis for an SIS model with age and infection age structures -- Endemic threshold and stability in an | |
evolutionary epidemic model -- Epilogue -- List of tutorial/workshop participants -- IMA volume 125 contents: Mathematical approaches for emerging and reemerging infectious diseases: an introduction | |
ISBN: | 9781461300656 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | The IMA Volumes in Mathematics and its Applications: 126 |
Keywords: | Medicine , Epidemiology , Biomathematics , Medicine & Public Health , Epidemiology , Mathematical and Computational Biology , Physiological, Cellular and Medical Topics |
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Call number: | SPRINGER-2002-9781461200819:ONLINE Show nearby items on shelf |
Title: | Variational and Topological Methods in the Study of Nonlinear Phenomena |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (134 p.) |
Note: | 10.1007/978-1-4612-0081-9 |
Contents: | Morse Indices at Mountain Pass Orbits of Symmetric Functionals -- On Some Linear and Nonlinear Eigenvalue Problems in Relativistic Quantum Chemistry -- Convexity at Infinity and Palais—Smale Conditions. Applications to Hamiltonian |
Systems -- Periodic Solutions of Nonlinear Problems with Positive Oriented Periodic Coefficients -- The Conley Index and Rigorous Numerics for Attracting Periodic Orbits -- Dynamics of a Forced Oscillator having an Obstacle -- Spike | |
Patterns in the Super-Critical Bahri—Coron Problem -- A Semilinear Elliptic Equation on N with Unbounded Coefficients -- Traveling Waves in Natural Systems | |
ISBN: | 9781461200819 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 49 |
Keywords: | Mathematics , Functional analysis , Differential equations , Partial differential equations , Biomathematics , Mathematics , Functional Analysis , Ordinary Differential Equations , Partial Differential Equations , Mathematical and Computational Biology |
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Call number: | SPRINGER-2002-9781447137085:ONLINE Show nearby items on shelf |
Title: | Estimating Animal Abundance Closed Populations |
Author(s): |
D. L Borchers |
Date: | 2002 |
Size: | 1 online resource (314 p.) |
Note: | 10.1007/978-1-4471-3708-5 |
Contents: | 1 Introduction -- 2 Using likelihood for estimation -- 3 Building blocks -- 4 Plot sampling -- 5 Removal, catch-effort and change-in-ratio -- 6 Simple mark-recapture -- 7 Distance sampling -- 8 Nearest neighbour and |
point-to-nearest-object -- 9 Further building blocks -- 10 Spatial/temporal models with certain detection -- 11 Dealing with heterogeneity -- 12 Integrated models -- 13 Dynamic and open population models -- 14 Which method? -- A | |
Notation and Glossary -- A.1 Notation -- A.2 Glossary -- B Statistical formulation for observation models -- B.1 Detection function -- B.2 Multiple surveys -- C The asymptotic variance of MLEs -- C.1 Estimating the variance of an MLE | |
-- C.2 Estimating the variance of a function of an MLE -- C.3 A one-parameter example -- C.3.1 Fisher information version 1 -- C.3.2 Fisher information version 2 -- C.3.3 Observed information -- D State models for mark-recapture and | |
removal methods -- D.1 Static population -- D.2 Independent dynamics -- D.3 Markov dynamics -- References | |
ISBN: | 9781447137085 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Ecology , Animal ecology , Applied mathematics , Engineering mathematics , Biomathematics , Statistics , Mathematics , Applications of Mathematics , Animal Ecology , Ecology , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Genetics and Population Dynamics |
Availability: | Click here to see Library holdings or inquire at
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