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Watterson GA. On the time for gene silencing at duplicate Loci. Genetics. 1983;105(3):745-66doi: 10.1093/genetics/105.3.745.
Watterson, G. A. (1983). On the time for gene silencing at duplicate Loci. Genetics, 105(3), 745-66. https://doi.org/10.1093/genetics/105.3.745
Watterson, G A. "On the time for gene silencing at duplicate Loci." Genetics vol. 105,3 (1983): 745-66. doi: https://doi.org/10.1093/genetics/105.3.745
Watterson GA. On the time for gene silencing at duplicate Loci. Genetics. 1983 Nov;105(3):745-66. doi: 10.1093/genetics/105.3.745. PMID: 17246174; PMCID: PMC1202184.
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Genetics. 1983 Nov;105(3):745-66. doi: 10.1093/genetics/105.3.745.

On the time for gene silencing at duplicate Loci.

Genetics

G A Watterson

Affiliations

  1. Department of Mathematics, Monash University, Clayton, Victoria, Australia 3168.

PMID: 17246174 PMCID: PMC1202184 DOI: 10.1093/genetics/105.3.745

Abstract

A simple approximate formula is found for the mean time for mutant genes to first fix at one or another of two duplicate loci. The fixation is a result of one-way mutation from the wild-type to the mutant alleles, but is retarded by strong selection against the doubly homozygous mutants. The two-dimensional diffusion that models the evolution of the mutant allele frequencies at the two loci is studied by means of a transformation to two univariate diffusions having different time scales. Most of the results, but not all, agree well with the numerical studies by previous authors. Some new simulation results are presented, which agree well with the analytical results and, therefore, cast doubt on some previous simulations.

References

  1. Proc Natl Acad Sci U S A. 1978 Nov;75(11):5575-9 - PubMed

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