An Introduction to Stochastic Processes with Applications to Biology （2ND）

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An Introduction to Stochastic Processes with Applications to Biology （2ND）

Allen, Linda J. S.

ウェブストア価格 ¥25,531（本体¥23,210）
Chapman & Hall/CRC（2010/12発売）
外貨定価 US$ 130.00
ポイント 232pt

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製本 Hardcover:ハードカバー版／ページ数 496 p.
言語 ENG
商品コード 9781439818824
DDC分類 519.23

基本説明

Textbook. Emphasizing applications in biology, this second edition of a bestseller enables complete understanding of stochastic formulation.

Full Description

An Introduction to Stochastic Processes with Applications to Biology, Second Edition presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems in areas such as population growth and extinction, drug kinetics, two-species competition and predation, the spread of epidemics, and the genetics of inbreeding. Because of their rich structure, the text focuses on discrete and continuous time Markov chains and continuous time and state Markov processes.

New to the Second Edition

A new chapter on stochastic differential equations that extends the basic theory to multivariate processes, including multivariate forward and backward Kolmogorov differential equations and the multivariate Itô's formula
The inclusion of examples and exercises from cellular and molecular biology
Double the number of exercises and MATLAB® programs at the end of each chapter
Answers and hints to selected exercises in the appendix
Additional references from the literature

This edition continues to provide an excellent introduction to the fundamental theory of stochastic processes, along with a wide range of applications from the biological sciences. To better visualize the dynamics of stochastic processes, MATLAB programs are provided in the chapter appendices.

Review of Probability Theory and an Introduction to Stochastic Processes. Discrete-Time Markov Chains. Biological Applications of Discrete-Time Markov Chains. Discrete-Time Branching Processes. Continuous-Time Markov Chains. Continuous-Time Birth and Death Chains. Biological Applications of Continuous-Time Markov Chains. Diffusion Processes and Stochastic Differential Equations. Biological Applications of Stochastic Differential Equations. Appendix. Index.