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An Operator Semigroup in Mathematical Genetics [[electronic resource] /] / by Adam Bobrowski, Marek Kimmel



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Autore: Bobrowski Adam Visualizza persona
Titolo: An Operator Semigroup in Mathematical Genetics [[electronic resource] /] / by Adam Bobrowski, Marek Kimmel Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015
Edizione: 1st ed. 2015.
Descrizione fisica: 1 online resource (92 p.)
Disciplina: 572.801515724
Soggetto topico: Biomathematics
Operator theory
Biomedical engineering
Probabilities
Animal genetics
Genetics and Population Dynamics
Operator Theory
Biomedical Engineering and Bioengineering
Probability Theory and Stochastic Processes
Animal Genetics and Genomics
Persona (resp. second.): KimmelMarek
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
Nota di contenuto: 1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.
Sommario/riassunto: 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.
Titolo autorizzato: An Operator Semigroup in Mathematical Genetics  Visualizza cluster
ISBN: 3-642-35958-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910299770603321
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Serie: SpringerBriefs in Mathematical Methods, . 2365-0826