An Operator Semigroup in Mathematical Genetics von Adam Bobrowski | ISBN 9783642359576

An Operator Semigroup in Mathematical Genetics

von Adam Bobrowski und Marek Kimmel
Mitwirkende
Autor / AutorinAdam Bobrowski
Autor / AutorinMarek Kimmel
Buchcover An Operator Semigroup in Mathematical Genetics | Adam Bobrowski | EAN 9783642359576 | ISBN 3-642-35957-4 | ISBN 978-3-642-35957-6

“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)

An Operator Semigroup in Mathematical Genetics

von Adam Bobrowski und Marek Kimmel
Mitwirkende
Autor / AutorinAdam Bobrowski
Autor / AutorinMarek Kimmel
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.