Document Detail


A Markov chain description of the stepwise mutation model: local and global behaviour of the allele process.
MedLine Citation:
PMID:  20600139     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
The stepwise mutation model (SMM) is a simple, widely used model to describe the evolutionary behaviour of microsatellites. We apply a Markov chain description of the SMM and derive the marginal and joint properties of this process. In addition to the standard SMM, we also consider the normalised allele process. In contrast to the standard process, the normalised process converges to a stationary distribution. We show that the marginal stationary distribution is unimodal. The standard and normalised processes capture the global and the local behaviour of the SMM, respectively.
Authors:
Amke Caliebe; Arne Jochens; Michael Krawczak; Uwe Rösler
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2010-06-30
Journal Detail:
Title:  Journal of theoretical biology     Volume:  266     ISSN:  1095-8541     ISO Abbreviation:  J. Theor. Biol.     Publication Date:  2010 Sep 
Date Detail:
Created Date:  2010-08-13     Completed Date:  2010-11-30     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0376342     Medline TA:  J Theor Biol     Country:  England    
Other Details:
Languages:  eng     Pagination:  336-42     Citation Subset:  IM    
Copyright Information:
Copyright (c) 2010 Elsevier Ltd. All rights reserved.
Affiliation:
Institut für Medizinische Informatik und Statistik, Haus 31, Christian-Albrechts-Universität Kiel, Arnold-Heller-Str 3, 24105 Kiel, Germany. caliebe@medinfo.uni-kiel.de
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MeSH Terms
Descriptor/Qualifier:
Alleles*
Computer Simulation
Evolution, Molecular*
Genetics, Population*
Markov Chains*
Microsatellite Repeats / genetics*
Models, Genetic*
Mutation / genetics*

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