Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Part of the book sub series: SpringerBriefs in Mathematical Methods (BRIEFSMATHMETH)
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Table of contents (6 chapters)
Keywords
About this book
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.Authors and Affiliations
Bibliographic Information
Book Title: Piecewise Deterministic Processes in Biological Models
Authors: Ryszard Rudnicki, Marta Tyran-Kamińska
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-61295-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2017
Softcover ISBN: 978-3-319-61293-5Published: 27 July 2017
eBook ISBN: 978-3-319-61295-9Published: 20 July 2017
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: IX, 169
Number of Illustrations: 10 b/w illustrations
Topics: Genetics and Population Dynamics, Systems Biology, Complex Systems, Probability Theory and Stochastic Processes, Biomedical Engineering and Bioengineering, Statistical Physics and Dynamical Systems