Piecewise Deterministic Processes in Biological Models

Name: Piecewise Deterministic Processes in Biological Models
Brand: Springer International Publishing AG
SKU: 9783319612935
Price: 50.07 EUR
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Autor: Ryszard Rudnicki, Marta Tyran-Kaminska

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer International Publishing AG

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This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with...

Informácie o knihe

Autor

Ryszard Rudnicki, Marta Tyran-Kaminska

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2017

Stránok

169

EAN

9783319612935

ISBN

331961293X

Enbook ID

16335788

Vydavateľ

Springer International Publishing AG

Hmotnosť

2818

Rozmery

155 x 235 x 10

Kompletný popis

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.

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Piecewise Deterministic Processes in Biological Models

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