An operator semigroup in mathematical genetics [electronic resource] / Adam Bobrowski, Marek Kimmel.
Bobrowski, Adam, author.; Kimmel, Marek, author.
2015
QH438.4.M3
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Title An operator semigroup in mathematical genetics [electronic resource] / Adam Bobrowski, Marek Kimmel.
Author Bobrowski, Adam, author.
ISBN 9783642359583 electronic book
3642359582 electronic book
9783642359576
DOI https://doi.org/10.1007/978-3-642-35958-3
Published Heidelberg [Germany] : Springer, [2015]
Language English
Description 1 online resource.
Item Number 10.1007/978-3-642-35958-3 doi
Call Number QH438.4.M3
Dewey Decimal Classification 576.5/8/015118
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Kimmel, Marek, author.
Series SpringerBriefs in applied sciences and technology. Mathematical methods.
Available in Other Form Print version: 9783642359576
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1 Introduction
2 Genetic background
3 Motivating example
4 Mathematical tools
5 Master Equation
6 Epilogue.

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