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Piecewise Deterministic Processes in Biological Models

Af: Marta Tyran-Kaminska, Ryszard Rudnicki Engelsk Paperback
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kr 99

Piecewise Deterministic Processes in Biological Models

Af: Marta Tyran-Kaminska, Ryszard Rudnicki Engelsk Paperback

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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 169
ISBN-13: 9783319612935
Indbinding: Paperback
Udgave:
ISBN-10: 331961293X
Udg. Dato: 27 jul 2017
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Forlag: Springer International Publishing AG
Oplagsdato: 27 jul 2017
Forfatter(e) Marta Tyran-Kaminska, Ryszard Rudnicki


Kategori Kybernetik og systemteori


Sprog Engelsk


Indbinding Paperback


Sider 169


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 27 jul 2017


Oplagsdato 27 jul 2017

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