Piecewise deterministic processes in biological models / Ryszard Rudnicki, Marta Tyran-Kamińska.

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Piecewise deterministic processes in biological models / Ryszard Rudnicki, Marta Tyran-Kamińska.

9783319612959 (electronic book)
3319612956 (electronic book)
9783319612935
331961293X

Cham, Switzerland : Springer, [2017]

English

1 online resource (ix, 169 pages) : illustrations

10.1007/978-3-319-61295-9 doi

QA274.7 .R83 2017eb

519.2/33
510

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.-- Provided by publisher.

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SpringerBriefs in applied sciences and technology. Mathematical methods.

Print version: 9783319612935

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