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An operator semigroup in mathematica...

Bobrowski, Adam.

An operator semigroup in mathematical genetics

Record Type:	Electronic resources : Monograph/item
Title/Author:	An operator semigroup in mathematical geneticsby 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.
Contained By:	Springer eBooks
Subject:	Population geneticsMathematical 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:

277724
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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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.
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