Piecewise Deterministic Processes in Biological Models

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Beschreibung

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.



Inhalt
1 Biological Models.- 2 Markov Processes.- 3 Operator Semigroups.- 4 Stochastic Semigroups.- 5 Asymptotic Properties of Stochastic Semigroups General Results.- 6 Asymptotic Properties of Stochastic Semigroups Applications.

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Produktinformationen

Titel
Piecewise Deterministic Processes in Biological Models
Autor
EAN
9783319612935
ISBN
331961293X
Format
Kartonierter Einband
Herausgeber
Springer International Publishing
Anzahl Seiten
180
Gewicht
283g
Größe
H235mm x B155mm x T9mm
Jahr
2017
Untertitel
Englisch
Auflage
1st ed. 2017
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