Piecewise Deterministic Processes in Biological Models (Paperback, 1st ed. 2017)

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 esses 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematical Methods
Release date:	August 2017
First published:	2017
Authors:	Ryszard Rudnicki • Marta Tyran-Kaminska
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	169
Edition:	1st ed. 2017
ISBN-13:	978-3-319-61293-5
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Medicine > Nursing & ancillary services > Biomedical engineering > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics Books > Science & Mathematics > Biology, life sciences > Life sciences: general issues > General
LSN:	3-319-61293-X
Barcode:	9783319612935

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