03956nam 22007815 450 991029977060332120250609110115.03-642-35958-210.1007/978-3-642-35958-3(CKB)3710000000377971(EBL)2095398(SSID)ssj0001465641(PQKBManifestationID)11837503(PQKBTitleCode)TC0001465641(PQKBWorkID)11470965(PQKB)11786319(DE-He213)978-3-642-35958-3(MiAaPQ)EBC2095398(PPN)184890454(MiAaPQ)EBC3108622(EXLCZ)99371000000037797120150316d2015 u| 0engur|n|---|||||txtccrAn Operator Semigroup in Mathematical Genetics /by Adam Bobrowski, Marek Kimmel1st ed. 2015.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2015.1 online resource (92 p.)SpringerBriefs in Mathematical Methods,2365-0826Description based upon print version of record.3-642-35957-4 Includes bibliographical references at the end of each chapters and index.1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.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.SpringerBriefs in Mathematical Methods,2365-0826BiomathematicsOperator theoryBiomedical engineeringProbabilitiesAnimal geneticsGenetics and Population Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/M31010Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Biomedical Engineering and Bioengineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T2700XProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Animal Genetics and Genomicshttps://scigraph.springernature.com/ontologies/product-market-codes/L32030Biomathematics.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.572.801515724Bobrowski Adamauthttp://id.loc.gov/vocabulary/relators/aut322292Kimmel Marekauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299770603321An Operator Semigroup in Mathematical Genetics2521517UNINA