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Record Nr. |
UNINA9910299770603321 |
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Autore |
Bobrowski Adam |
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Titolo |
An Operator Semigroup in Mathematical Genetics / / by Adam Bobrowski, Marek Kimmel |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (92 p.) |
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Collana |
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SpringerBriefs in Mathematical Methods, , 2365-0826 |
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Disciplina |
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Soggetti |
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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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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1 Introduction -- 2 Genetic background -- 3 Motivating example -- 4 Mathematical tools -- 5 Master Equation -- 6 Epilogue. |
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Sommario/riassunto |
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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 |
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