Singular solutions of the diffusion equation of population genetics
نویسندگان
چکیده
منابع مشابه
Singular solutions of the diffusion equation of population genetics.
The forward diffusion equation for gene frequency dynamics is solved subject to the condition that the total probability is conserved at all times. This can lead to solutions developing singular spikes (Dirac delta functions) at the gene frequencies 0 and 1. When such spikes appear in solutions they signal gene loss or gene fixation, with the "weight" associated with the spikes corresponding to...
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The forward di¤usion equation for gene frequency dynamics is solved subject to the condition that the total probability is conserved at all times. This can lead to solutions developing singular spikes (Dirac delta functions) at the gene frequencies 0 and 1. When such spikes appear in solutions they signal gene loss or gene xation, with the weightassociated with the spikes corresponding to th...
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متن کاملAlternative to the diffusion equation in population genetics.
Since its inception by Kimura in 1955 [M. Kimura, Proc. Natl. Acad. Sci. U.S.A. 41, 144 (1955)], the diffusion equation has become a standard technique of population genetics. The diffusion equation is however only an approximation, valid in the limit of large populations and small selection. Moreover, useful quantities such as the fixation probabilities are not easily extracted from it and nee...
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ژورنال
عنوان ژورنال: Journal of Theoretical Biology
سال: 2007
ISSN: 0022-5193
DOI: 10.1016/j.jtbi.2007.04.016