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Piecewise Deterministic Processes in Biological Models

Piecewise Deterministic Processes in Biological Models

Paperback

General MathematicsGeneticsPhysics

ISBN10: 331961293X
ISBN13: 9783319612935
Publisher: Springer
Published: Jul 27 2017
Pages: 169
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics