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Piecewise deterministic processes in...

Rudnicki, Ryszard.

Piecewise deterministic processes in biological models

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Piecewise deterministic processes in biological modelsby Ryszard Rudnicki, Marta Tyran-Kaminska.
作者:	Rudnicki, Ryszard.
其他作者:	Tyran-Kaminska, Marta.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	ix, 169 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Markov processes.
電子資源:	http://dx.doi.org/10.1007/978-3-319-61295-9
ISBN:	9783319612959$q(electronic bk.)

Piecewise deterministic processes in biological models
Rudnicki, Ryszard.

Piecewise deterministic processes in biological models[electronic resource] /by Ryszard Rudnicki, Marta Tyran-Kaminska. - Cham :Springer International Publishing :2017. - ix, 169 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

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 processes into 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.

ISBN: 9783319612959$q(electronic bk.)

Standard No.: 10.1007/978-3-319-61295-9doiSubjects--Topical Terms:

181910
Markov processes.

LC Class. No.: QA274.7

Dewey Class. No.: 519.233

Piecewise deterministic processes in biological models
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505 0 $a 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.
520 $a 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 processes into 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.
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