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An Operator Semigroup in Mathematical Genetics

An Operator Semigroup in Mathematical Genetics

Lyapunov Equation Model of Drift and Mutation : Population Dependence and Asymptotic Behavior

by Marek Kimmel and Adam Bobrowski
Paperback
Publication Date: 27/03/2015

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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.
ISBN:
9783642359576
9783642359576
Category:
Genetics (non-medical)
Format:
Paperback
Publication Date:
27-03-2015
Language:
English
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country of origin:
Germany
Pages:
88
Dimensions (mm):
235x155x5mm
Weight:
1.59kg

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