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010   $a3-642-35958-2
024 7 $a10.1007/978-3-642-35958-3
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035   $a(DE-He213)978-3-642-35958-3
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035   $a(PPN)184890454
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100   $a20150316d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 13$aAn Operator Semigroup in Mathematical Genetics /$fby Adam Bobrowski, Marek Kimmel
205   $a1st ed. 2015.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015.
215   $a1 online resource (92 p.)
225 1 $aSpringerBriefs in Mathematical Methods,$x2365-0826
300   $aDescription based upon print version of record.
311   $a3-642-35957-4 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $a1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue.
330   $aThis authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.
410  0$aSpringerBriefs in Mathematical Methods,$x2365-0826
606   $aBiomathematics
606   $aOperator theory
606   $aBiomedical engineering
606   $aProbabilities
606   $aAnimal genetics
606   $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aBiomedical Engineering and Bioengineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T2700X
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aAnimal Genetics and Genomics$3https://scigraph.springernature.com/ontologies/product-market-codes/L32030
615  0$aBiomathematics.
615  0$aOperator theory.
615  0$aBiomedical engineering.
615  0$aProbabilities.
615  0$aAnimal genetics.
615 14$aGenetics and Population Dynamics.
615 24$aOperator Theory.
615 24$aBiomedical Engineering and Bioengineering.
615 24$aProbability Theory and Stochastic Processes.
615 24$aAnimal Genetics and Genomics.
676   $a572.801515724
700   $aBobrowski$b Adam$4aut$4http://id.loc.gov/vocabulary/relators/aut$0322292
702   $aKimmel$b Marek$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299770603321
996   $aAn Operator Semigroup in Mathematical Genetics$92521517
997   $aUNINA