Document Detail


Biological evolution in a multidimensional fitness landscape.
MedLine Citation:
PMID:  23030957     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
We considered a multiblock molecular model of biological evolution, in which fitness is a function of the mean types of alleles located at different parts (blocks) of the genome. We formulated an infinite population model with selection and mutation, and calculated the mean fitness. For the case of recombination, we formulated a model with a multidimensional fitness landscape (the dimension of the space is equal to the number of blocks) and derived a theorem about the dynamics of initially narrow distribution. We also considered the case of lethal mutations. We also formulated the finite population version of the model in the case of lethal mutations. Our models, derived for the virus evolution, are interesting also for the statistical mechanics and the Hamilton-Jacobi equation as well.
Authors:
David B Saakian; Zara Kirakosyan; Chin-Kun Hu
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-9-20
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  86     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2012 Sep 
Date Detail:
Created Date:  2012-10-3     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  -    
Other Details:
Languages:  ENG     Pagination:  031920     Citation Subset:  -    
Affiliation:
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan and Yerevan Physics Institute, Alikhanian Brothers St. 2, Yerevan 375036, Armenia and National Center for Theoretical Sciences (North): Physics Division, National Taiwan University, Taipei 10617, Taiwan.
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