SpringerBriefs in Mathematical Methods

Piecewise Deterministic Processes in Biological Models

Authors: Rudnicki, Ryszard, Tyran-Kamińska, Marta

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eBook 41,64 €
price for Spain (gross)
  • ISBN 978-3-319-61295-9
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  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-61293-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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

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.

Table of contents (6 chapters)

  • Biological Models

    Rudnicki, Ryszard (et al.)

    Pages 1-32

    Preview Buy Chapter 30,19 €
  • Markov Processes

    Rudnicki, Ryszard (et al.)

    Pages 33-62

    Preview Buy Chapter 30,19 €
  • Operator Semigroups

    Rudnicki, Ryszard (et al.)

    Pages 63-82

    Preview Buy Chapter 30,19 €
  • Stochastic Semigroups

    Rudnicki, Ryszard (et al.)

    Pages 83-114

    Preview Buy Chapter 30,19 €
  • Asymptotic Properties of Stochastic Semigroups—General Results

    Rudnicki, Ryszard (et al.)

    Pages 115-128

    Preview Buy Chapter 30,19 €

Buy this book

eBook 41,64 €
price for Spain (gross)
  • ISBN 978-3-319-61295-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-61293-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Piecewise Deterministic Processes in Biological Models
Authors
Series Title
SpringerBriefs in Mathematical Methods
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-61295-9
DOI
10.1007/978-3-319-61295-9
Softcover ISBN
978-3-319-61293-5
Edition Number
1
Number of Pages
IX, 169
Number of Illustrations and Tables
10 b/w illustrations
Topics