A model of electrophoretic variation: Finite populations and finite numbers of mutable sites
type: Item
instance of: scholarly article
title: A model of electrophoretic variation: Finite populations and finite numbers of mutable sites
zbMATH Open document ID: 0575.92012
DOI: 10.1016/0040-5809(80)90036-2
author: C. F. Wehrhahn
author: Charles Lloyd Gulizia
published in: Theoretical Population Biology
publication date: 1980-01-01T00:00:00Z
review text: In this paper we present a model of electrophoretic variation for a protein with M amino acid positions, each of which can be in the selectively equivalent charge states 0 and 1. At each amino acid position the mutation rate from one charge state to the other is \(\nu\). We derive the expected variance in charge, for a population of N individuals in generation t, which is \(\sigma^ 2(t)=[2MN\nu /(1+8N\nu)]\{1-\exp [- (4\nu +1/(2N))t]\}\) for an initially monomorphic population. This variance, which is unaffected by intragenic recombination and gene conversion, does not increase linearly with N as does the steady-state variance in charge for the older electrophoretic models. We also derive the probability, \(P_ j(t)\), that a random gene in a population exceeds another by j charge units. We conclude: (1) that, except for species which have maintained effective population numbers in the millions, the infinite mutable sites model adequately describes neutral genetic variation; (2) that very high levels of 'neutral' genetic variation can be attained only by genes with a fairly large number of 'neutral' amino acid sites in species which have maintained an effective size in the millions for millions of generations; (3) that, because all species surveyed have a mean heterozygosity of less than 25\%, it is likely that most genes have only a few 'neutral' covarions.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 3920271
zbMATH Keywords: finite populations
zbMATH Keywords: finite numbers of mutable sites
zbMATH Keywords: model of electrophoretic variation
zbMATH Keywords: protein
zbMATH Keywords: expected variance in charge
zbMATH Keywords: intragenic recombination
zbMATH Keywords: gene conversion
zbMATH Keywords: infinite mutable sites model
zbMATH Keywords: neutral genetic variation
zbMATH Keywords: amino acid sites
Wikidata QID: Q52757884
MaRDI profile type: Publication
full work available at URL: 0040-5809(80)90036-2
OpenAlex ID: W2036139896
cites work: Q5508799
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cites work: The sampling theory of selectively neutral alleles
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cites work: Ehrenfest urn models
cites work: Model of effectively neutral mutations in which selective constraint is incorporated
cites work: Q4156190
cites work: Wandering distributions and the electrophoretic profile
description: scientific article; zbMATH DE number 3920271