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＜電子ブック＞
Piecewise Deterministic Processes in Biological Models / by Ryszard Rudnicki, Marta Tyran-Kamińska
(SpringerBriefs in Mathematical Methods. ISSN:23650834)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	IX, 169 p. 10 illus : online resource
著者標目	*Rudnicki, Ryszard author Tyran-Kamińska, Marta author SpringerLink (Online service)
件　名	LCSH:Population genetics LCSH:Bioinformatics LCSH:System theory LCSH:Probabilities LCSH:Biomedical engineering LCSH:Mathematical physics FREE:Population Genetics FREE:Computational and Systems Biology FREE:Complex Systems FREE:Probability Theory FREE:Biomedical Engineering and Bioengineering FREE:Theoretical, Mathematical and Computational Physics
一般注記	1 Biological Models -- 2 Markov Processes -- 3 Operator Semigroups -- 4 Stochastic Semigroups -- 5 Asymptotic Properties of Stochastic Semigroups — General Results -- 6 Asymptotic Properties of Stochastic Semigroups — Applications This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models. Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models.  As such, the book offers a valuable resource for mathematicians and biologists alike. The first group will find new biological models that lead to interesting and often new mathematical questions, while the second can observe how to include seemingly disparate biological proc essesinto a unified mathematical theory, and to arrive at revealing biological conclusions.  The target audience primarily comprises of researchers in these two fields, but the book will also benefit graduate students HTTP:URL=https://doi.org/10.1007/978-3-319-61295-9

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