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Article

Singular solutions of the diffusion equation of population genetics.

Journal of theoretical biology - 21 Aug 2007

McKane A J, Waxman D

Abstract excerpt

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 the probability of...

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Identifiers

PMID: 17532344
DOI: 10.1016/j.jtbi.2007.04.016

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PubMed metadata and Literature Corpus relationships. Corpus snapshot updated 7 Sept 2026. Manifest publication-graph-cohort-2026-09-08.1.

Source receipt: pubmed, retrieved 7 Sept 2026.

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