Branching processes in biology [electronic resource] / Marek Kimmel, David E. Axelrod.
2015
QH323.5
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Details
Title
Branching processes in biology [electronic resource] / Marek Kimmel, David E. Axelrod.
Author
Kimmel, Marek, 1959- author.
Edition
[Second edition].
ISBN
9781493915590 electronic book
1493915592 electronic book
9781493915583
1493915592 electronic book
9781493915583
Published
New York : Springer, 2015.
Language
English
Description
1 online resource (xviii, 230 pages) : illustrations.
Item Number
10.1007/978-1-4939-1559-0 doi
Call Number
QH323.5
Dewey Decimal Classification
570.1/5118
Summary
This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, Multitype, and General Processes. As an aid to understanding specific examples, two introductory chapters, and two glossaries are included that provide background material in mathematics and in biology. The book will be of interest to scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, cell biologists, molecular biologists, and bioinformaticians. The authors are a mathematician and cell biologist who have collaborated for more than a decade in the field of branching processes in biology for this new edition. This second expanded edition adds new material published during the last decade, with nearly 200 new references. More material has been added on infinitely-dimensional multitype processes, including the infinitely-dimensional linear-fractional case. Hypergeometric function treatment of the special case of the Griffiths-Pakes infinite allele branching process has also been added. There are additional applications of recent molecular processes and connections with systems biology are explored, and a new chapter on genealogies of branching processes and their applications. Reviews of First Edition: "This is a significant book on applications of branching processes in biology, and it is highly recommended for those readers who are interested in the application and development of stochastic models, particularly those with interests in cellular and molecular biology." (Siam Review, Vol. 45 (2), 2003) ℓ́ℓThis book will be very interesting and useful for mathematicians, statisticians and biologists as well, and especially for researchers developing mathematical methods in biology, medicine and other natural sciences.ℓ́ℓ (Short Book Reviews of the ISI, Vol. 23 (2), 2003)
Bibliography, etc. Note
Includes bibliographical references and indexes.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 24, 2015).
Added Author
Axelrod, David E., 1940- author.
Series
Interdisciplinary applied mathematics ; v. 19.
Available in Other Form
Print version: 9781493915583
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Table of Contents
Motivating Examples and Other Preliminaries
Biological Background
The Galton-Watson Process
The Age-Dependent Process: Markov Case
The Bellman-Harris Process
Multitype Processes
Branching Processes with Infinitely Many Types
Genealogies of Branching Processes and their Applications
References.
Biological Background
The Galton-Watson Process
The Age-Dependent Process: Markov Case
The Bellman-Harris Process
Multitype Processes
Branching Processes with Infinitely Many Types
Genealogies of Branching Processes and their Applications
References.