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An Introduction to Stochastic Processes with Applications to Biology
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An Introduction to Stochastic Processes with Applications to Biology

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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 496
ISBN-13: 9781439818824
Indbinding: Hardback
Udgave:
ISBN-10: 1439818827
Kategori: Stokastik
Udg. Dato: 2 dec 2010
Længde: 27mm
Bredde: 166mm
Højde: 244mm
Oplagsdato: 2 dec 2010
Forfatter(e) Linda J. S. (Texas Tech University Allen, Linda J. S. Allen


Kategori Stokastik


Sprog Engelsk


Indbinding Hardback


Sider 496


Udgave


Længde 27mm


Bredde 166mm


Højde 244mm

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