國立虎尾科技大學 |

Branching Processes in Biology

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Branching Processes in Biology/ by Marek Kimmel, David E. Axelrod.
Author:	Kimmel, Marek.
other author:	Axelrod, David E.
Description:	XX, 280 p. 69 illus., 3 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Biomathematics. -
Online resource:	https://doi.org/10.1007/978-1-4939-1559-0
ISBN:	9781493915590

Branching Processes in Biology
Kimmel, Marek.

Branching Processes in Biology[electronic resource] /by Marek Kimmel, David E. Axelrod. - 2nd ed. 2015. - XX, 280 p. 69 illus., 3 illus. in color.online resource. - Interdisciplinary Applied Mathematics,190939-6047 ;. - Interdisciplinary Applied Mathematics,19.

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.

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) “This 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.” (Short Book Reviews of the ISI, Vol. 23 (2), 2003).

ISBN: 9781493915590

Standard No.: 10.1007/978-1-4939-1559-0doiSubjects--Topical Terms:

527725
Biomathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 570.285

Branching Processes in Biology
LDR:03956nam a22004215i 4500 001 960116
003 DE-He213
005 20200706091346.0
007 cr nn 008mamaa
008 201211s2015 xxu| s |||| 0|eng d
020 $a 9781493915590 $9 978-1-4939-1559-0
024 7 $a 10.1007/978-1-4939-1559-0 $2 doi
035 $a 978-1-4939-1559-0
050 4 $a QH323.5
050 4 $a QH324.2-324.25
072 7 $a PDE $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PDE $2 thema
082 0 4 $a 570.285 $2 23
100 1 $a Kimmel, Marek. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1066684
245 1 0 $a Branching Processes in Biology $h [electronic resource] / $c by Marek Kimmel, David E. Axelrod.
250 $a 2nd ed. 2015.
264 1 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2015.
300 $a XX, 280 p. 69 illus., 3 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Interdisciplinary Applied Mathematics, $x 0939-6047 ; $v 19
505 0 $a 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.
520 $a 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) “This 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.” (Short Book Reviews of the ISI, Vol. 23 (2), 2003).
650 0 $a Biomathematics. $3 527725
650 0 $a Statistics . $3 1253516
650 0 $a Probabilities. $3 527847
650 0 $a Bioinformatics. $3 583857
650 0 $a Cell biology. $3 1253486
650 1 4 $a Mathematical and Computational Biology. $3 786706
650 2 4 $a Statistics for Life Sciences, Medicine, Health Sciences. $3 670172
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Cell Biology. $3 593889
700 1 $a Axelrod, David E. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1066685
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9781493915606
776 0 8 $i Printed edition: $z 9781493915583
776 0 8 $i Printed edition: $z 9781493938193
830 0 $a Interdisciplinary Applied Mathematics, $x 0939-6047 ; $v 19 $3 1253816
856 4 0 $u https://doi.org/10.1007/978-1-4939-1559-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)