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An Introduction to Stochastic Processes with Applications to Biology
Buch von Linda J. S. Allen
Sprache: Englisch

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Beschreibung

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.

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.

Über den Autor

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.

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2010
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9781439818824
ISBN-10: 1439818827
Sprache: Englisch
Einband: Gebunden
Autor: Allen, Linda J. S.
Auflage: 2. Auflage
Hersteller: Chapman and Hall/CRC
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 240 x 161 x 31 mm
Von/Mit: Linda J. S. Allen
Erscheinungsdatum: 02.12.2010
Gewicht: 0,907 kg
Artikel-ID: 125797645
Über den Autor

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.

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2010
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9781439818824
ISBN-10: 1439818827
Sprache: Englisch
Einband: Gebunden
Autor: Allen, Linda J. S.
Auflage: 2. Auflage
Hersteller: Chapman and Hall/CRC
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 240 x 161 x 31 mm
Von/Mit: Linda J. S. Allen
Erscheinungsdatum: 02.12.2010
Gewicht: 0,907 kg
Artikel-ID: 125797645
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