Diallelic multilocus model of neutral genes
type: Item
instance of: scholarly article
title: Diallelic multilocus model of neutral genes
zbMATH Open document ID: 0621.92011
DOI: 10.1007/BF00275887
author: Morihiro Notohara
published in: Journal of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: The paper considers a diploid multilocus diallelic model of neutral genes in a finite population with reciprocal mutation (mutation rates being equal in both directions and equal among loci). Random genetic drift is considered by using the classical diffusion model approximation. Recombination is not considered. Spectral analysis of the backward diffusion equation and the method of generating functions are used to assess the transient and steady state (as \(t\to \infty\) and as \(d=number\) of loci\(\to \infty)\) distributions and moments of genotype frequencies and other quantities. The results are applied to two situations: a) study of the distribution of a metric character expressing a polygenic trait in a completely linked loci additive model; b) study of the distribution of the number of segregating sites in DNA nucleotide sequences. These distributions are compared to other situations in order to assess the effects of mutation, random genetic drift and linkage disequilibrium.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 60J70
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 4008168
zbMATH Keywords: diploid multilocus diallelic model of neutral genes
zbMATH Keywords: finite population
zbMATH Keywords: reciprocal mutation
zbMATH Keywords: Random genetic drift
zbMATH Keywords: diffusion model approximation
zbMATH Keywords: Spectral analysis
zbMATH Keywords: backward diffusion equation
zbMATH Keywords: generating functions
zbMATH Keywords: transient and steady state
zbMATH Keywords: distributions
zbMATH Keywords: moments
zbMATH Keywords: genotype frequencies
zbMATH Keywords: polygenic trait
zbMATH Keywords: completely linked loci additive model
zbMATH Keywords: number of segregating sites
zbMATH Keywords: DNA nucleotide sequences
zbMATH Keywords: linkage disequilibrium
Wikidata QID: Q52428631
reviewed by: Carlos A. dos Santos Braumann
MaRDI profile type: Publication
cites work: Q3883956
cites work: A class of degenerate diffusion processes occurring in population genetics
cites work: The infinitely-many-sites model as a measure-valued diffusion
cites work: Q5624436
cites work: Q3888269
cites work: Genetic identity between populations when mutation rates vary within and across loci
cites work: The number of alleles and segregating sites in a sample from the infinite-alleles model
cites work: A stochastic model concerning the maintenance of genetic variability in quantitative characters.
cites work: Effect of overall phenotypic selection on genetic change at individual loci.
cites work: Possibility of extensive neutral evolution under stabilizing selection with special reference to nonrandom usage of synonymous codons.
cites work: Coherent random walks arising in some genetical models
cites work: Wandering distributions and the electrophoretic profile
cites work: Eigenanalysis for the Kolmogorov backward equation for the neutral multi- allelic model
cites work: The lattice models of neutral multi-alleles in population genetics theory
cites work: Role of very slightly deleterious mutations in molecular evolution and polymorphism
cites work: Wandering phenomena in infinite-allelic diffusion models
cites work: Estimation of the neutral mutation rate in a finite population from DNA sequence data
cites work: On the number of segregating sites in genetical models without recombination
full work available at URL: https://doi.org/10.1007/bf00275887
OpenAlex ID: W2043110655
description: scientific article; zbMATH DE number 4008168