Piecewise Deterministic Processes in Biological Models

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Éditeur :

Springer


Collection :

SpringerBriefs in Applied Sciences and Technology

Paru le : 2017-07-20

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Description

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 processesinto 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.
Pages
169 pages
Collection
SpringerBriefs in Applied Sciences and Technology
Parution
2017-07-20
Marque
Springer
EAN papier
9783319612935
EAN PDF
9783319612959

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
4905 Ko
Prix
52,74 €
EAN EPUB
9783319612959

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
4168 Ko
Prix
52,74 €