The nk model and population genetics

Welch, John J. and Waxman, David (2005) The nk model and population genetics. Journal of Theoretical Biology, 234 (3). pp. 329-340. ISSN 0022-5193

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Abstract

The nk model of fitness interactions is examined. This model has been used by previous authors to investigate the effects of fitness epistasis on substitution dynamics in molecular evolution, and to make broader claims about the importance of epistasis. To examine these claims, an infinite-allele approximation is introduced. In this limit, it is shown that the nk model is, at an appropriate level of description, formally identical to the non-epistatic House-of-Cards model--a well-studied model in theoretical population genetics. It is further shown that in many parameter regimes, the analytical results obtained from this infinite-allele approximation are very close to results from the full nk model (with a finite number of alleles per locus). The findings presented shed light on a number of previous results.

Item Type: Article
Schools and Departments: School of Life Sciences > Biology and Environmental Science
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history > QH0301 Biology
Depositing User: SRO Admin
Date Deposited: 12 Feb 2007
Last Modified: 06 Mar 2017 21:54
URI: http://sro.sussex.ac.uk/id/eprint/755
Google Scholar:20 Citations

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