An Operator Semigroup in Mathematical Genetics
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 opera...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-584112023-11-11T06:07:07Z An Operator Semigroup in Mathematical Genetics Bobrowski, Adam Kimmel, Marek Evolution Animal genetics Life Sciences Science Mathematical models Population genetics 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. 2015-09-22T01:55:22Z 2015-09-22T01:55:22Z 2015 Book 978-3-642-35958-3 978-3-642-35957-6 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58411 en application/pdf Springer |
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Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
language |
English |
topic |
Evolution Animal genetics Life Sciences Science Mathematical models Population genetics |
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Evolution Animal genetics Life Sciences Science Mathematical models Population genetics Bobrowski, Adam Kimmel, Marek An Operator Semigroup in Mathematical Genetics |
description |
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. |
format |
Book |
author |
Bobrowski, Adam Kimmel, Marek |
author_facet |
Bobrowski, Adam Kimmel, Marek |
author_sort |
Bobrowski, Adam |
title |
An Operator Semigroup in Mathematical Genetics |
title_short |
An Operator Semigroup in Mathematical Genetics |
title_full |
An Operator Semigroup in Mathematical Genetics |
title_fullStr |
An Operator Semigroup in Mathematical Genetics |
title_full_unstemmed |
An Operator Semigroup in Mathematical Genetics |
title_sort |
operator semigroup in mathematical genetics |
publisher |
Springer |
publishDate |
2015 |
url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58411 |
_version_ |
1782539186707890176 |