An Operator Semigroup in Mathematical Genetics

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Applied
Cover of the book An Operator Semigroup in Mathematical Genetics by Adam Bobrowski, Marek Kimmel, Springer Berlin Heidelberg
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Author: Adam Bobrowski, Marek Kimmel ISBN: 9783642359583
Publisher: Springer Berlin Heidelberg Publication: March 16, 2015
Imprint: Springer Language: English
Author: Adam Bobrowski, Marek Kimmel
ISBN: 9783642359583
Publisher: Springer Berlin Heidelberg
Publication: March 16, 2015
Imprint: Springer
Language: English

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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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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