Titlebook: An Operator Semigroup in Mathematical Genetics; Adam Bobrowski,Marek Kimmel Book 2015 The Author(s) 2015 Differential Lyapunov Equation.Mi

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2191-530X cludes supplementary material: .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,

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Book 2015uation. 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 inf

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An Operator Semigroup in Mathematical Genetics978-3-642-35958-3Series ISSN 2191-530X Series E-ISSN 2191-5318

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https://doi.org/10.1007/978-3-642-92010-3lity to turn attention to applied problems, which require such higher-order mathematical tools. In other words, we would like to show that a mathematical view “from above” on applied problems in population genetics leads not only to interesting “mathematical games” but also to important insights which may be of value to population genetics.

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https://doi.org/10.1007/978-3-7091-4790-0eus consisting of the total of twice . bases or symbols, as well as of thousands of copies of the relatively small circular mitochondrial genomes each consisting of about 16,600 symbols. Human nuclear genome is diploid, because the two sets of chromosomes are separately inherited from the two parent

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,Würfel, Quader, Zylinder, Kegel,. Jorde and co-workers analyzed allele frequency distributions at 60 tetranucleotide loci in a worldwide survey of human populations. Kimmel and co-workers investigated whether there is imbalance between allele size variances and heterozygosity observed in these data, as analyzed by an imbalance ind