Linda J. S. Allen

An Introduction to Stochastic Processes with Applications to Biology (eBook, PDF)

• Format: PDF

Produktbeschreibung

Focusing on discrete and continuous time Markov chains and continuous time and state Markov processes, this text presents the basic theory of stochastic processes necessary to understand and apply stochastic methods to biological problems. This edition contains a new chapter on stochastic differential equations that extends basic theory to multivariate processes. Along with additional references, it now includes examples and exercises from cellular and molecular biology and doubles the number of exercises and MATLAB programs at the end of each chapter.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 496
• Erscheinungstermin: 2. Dezember 2010
• Englisch
• ISBN-13: 9781439894682
• Artikelnr.: 57150947

Autorenporträt

Linda J.S. Allen is a Paul Whitfield Horn Professor in the Department of Mathematics and Statistics at Texas Tech University. Dr. Allen has served on the editorial boards of the Journal of Biological Dynamics, SIAM Journal of Applied Mathematics, Journal of Difference Equations and Applications, Journal of Theoretical Biology, and Mathematical Biosciences. Her research interests encompass mathematical population biology, epidemiology, and immunology.

Inhaltsangabe

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.