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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Những tác giả chính: Bobrowski, Adam, Kimmel, Marek
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
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Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58411
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spelling 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
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Evolution Animal genetics
Life Sciences
Science
Mathematical models
Population genetics
spellingShingle 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
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