An Operator Semigroup in Mathematical Genetics

Adam Bobrowski, Marek Kimmel

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
27 March 2015

Functional analysis & transforms; Applied mathematics; Genetics (non-medical); Animal reproduction

Series: SpringerBriefs in Applied Sciences and Technology

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.

By: Adam Bobrowski, Marek Kimmel
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: 2015 ed.
Dimensions: Height: 235mm, Width: 155mm, Spine: 5mm
Weight: 1.591kg
ISBN: 9783642359576
ISBN 10: 3642359574
Series: SpringerBriefs in Applied Sciences and Technology
Pages: 88
Publication Date: 27 March 2015
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Reviews for An Operator Semigroup in Mathematical Genetics

This book is a very interesting readable descriptive text in one of the important branches of applied mathematics. It helps readers to gain insight about the application of such deep mathematical tools as the semigroup theory of linear operators in other branches of science. (Ruhollah Jahanipur, zbMATH 1335.92002, 2016)