Piecewise Deterministic Processes in Biological Models (SpringerBriefs in Mathematical Methods) - Softcover

Rudnicki, Ryszard; Tyran-Kamińska, Marta

Softcover

ISBN 10: 331961293X ISBN 13: 9783319612935

Publisher: Springer, 2017

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 2017
• Language: English
• ISBN 10: 331961293X
• ISBN 13: 9783319612935
• Binding: Paperback
• Edition number: 1
• Number of pages: 178