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An operator semigroup in mathematica...

Bobrowski, Adam.

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An operator semigroup in mathematical genetics

Record Type:	Electronic resources : Monograph/item
Title/Author:	An operator semigroup in mathematical genetics/ by Adam Bobrowski, Marek Kimmel.
Author:	Bobrowski, Adam.
other author:	Kimmel, Marek.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2015.,
Description:	vi, 88 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.
Contained By:	Springer eBooks
Subject:	Population genetics - Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-642-35958-3
ISBN:	9783642359583 (electronic bk.)

An operator semigroup in mathematical genetics
Bobrowski, Adam.

An operator semigroup in mathematical genetics[electronic resource] /by Adam Bobrowski, Marek Kimmel. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - vi, 88 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology. Mathematical methods,2191-530X. - SpringerBriefs in applied sciences and technology.Mathematical methods..

1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.

This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.

ISBN: 9783642359583 (electronic bk.)

Standard No.: 10.1007/978-3-642-35958-3doiSubjects--Topical Terms:

651612
Population genetics
--Mathematical models.

LC Class. No.: QH438.4.M3

Dewey Class. No.: 576.58015118

An operator semigroup in mathematical genetics
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100 1 $a Bobrowski, Adam. $3 597532
245 1 3 $a An operator semigroup in mathematical genetics $h [electronic resource] / $c by Adam Bobrowski, Marek Kimmel.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2015.
300 $a vi, 88 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in applied sciences and technology. Mathematical methods, $x 2191-530X
505 0 $a 1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.
520 $a This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.
650 0 $a Population genetics $x Mathematical models. $3 651612
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Genetics and Population Dynamics. $3 896052
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Biomedical Engineering. $3 720279
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Animal Genetics and Genomics. $3 895167
700 1 $a Kimmel, Marek. $3 2114869
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in applied sciences and technology. $p Mathematical methods. $3 2062970
856 4 0 $u http://dx.doi.org/10.1007/978-3-642-35958-3
950 $a Mathematics and Statistics (Springer-11649)