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＜電子ブック＞
An Operator Semigroup in Mathematical Genetics / by Adam Bobrowski, Marek Kimmel
(SpringerBriefs in Mathematical Methods. ISSN:23650834)

版	1st ed. 2015.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2015
本文言語	英語
大きさ	VI, 88 p. 9 illus., 8 illus. in color : online resource
著者標目	*Bobrowski, Adam author Kimmel, Marek author SpringerLink (Online service)
件　名	LCSH:Population genetics LCSH:Operator theory LCSH:Biomedical engineering LCSH:Probabilities LCSH:Genetics FREE:Population Genetics FREE:Operator Theory FREE:Biomedical Engineering and Bioengineering FREE:Probability Theory FREE:Genetics and Genomics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-642-35958-3

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