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An Operator Semigroup in Mathematical Genetics

Buch | Softcover
VI, 88 Seiten
2015 | 2015
Springer Berlin (Verlag)
978-3-642-35957-6 (ISBN)

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An Operator Semigroup in Mathematical Genetics - Adam Bobrowski, Marek Kimmel
CHF 82,35 inkl. MwSt

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.

1 Introduction.- 2 Genetic background.- 3 Motivating example.- 4 Mathematical tools.- 5 Master Equation.- 6 Epilogue.

"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)

Erscheint lt. Verlag 27.3.2015
Reihe/Serie SpringerBriefs in Applied Sciences and Technology
SpringerBriefs in Mathematical Methods
Zusatzinfo VI, 88 p. 9 illus., 8 illus. in color.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 159 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Biologie Evolution
Naturwissenschaften Biologie Genetik / Molekularbiologie
Schlagworte Differential Lyapunov Equation • Microsatellite Loci • Mutation and Drift • Mutation Models • Single-base Substitions • Time Evolution of Neutral Genomic Regions
ISBN-10 3-642-35957-4 / 3642359574
ISBN-13 978-3-642-35957-6 / 9783642359576
Zustand Neuware
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