Biased intrachromosomal gene conversion in a chromosome lineage. 1985

T Nagylaki

A model for the evolution of a family of tandemly repeated genes in a single chromosome lineage under intrachromosomal gene conversion [43] is analyzed further and extended. Direct and diffusion approximations are derived for the exact fixation probabilities, mean time to fixation or loss, and mean conditional fixation time of Nagylaki and Petes [43]. The distribution of the number of variant repeats under the joint action of gene conversion and reversible mutation is investigated; exact and approximate expressions are derived for the stationary distribution. It is shown that conversional bias greatly increases the amount of sequence homogeneity at equilibrium. The diffusion processes studied here also apply to selection and mutation in a finite population, and some new results are established for that classical problem.

UI MeSH Term Description Entries
D008957 Models, Genetic Theoretical representations that simulate the behavior or activity of genetic processes or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Genetic Models,Genetic Model,Model, Genetic
D009154 Mutation Any detectable and heritable change in the genetic material that causes a change in the GENOTYPE and which is transmitted to daughter cells and to succeeding generations. Mutations
D011336 Probability The study of chance processes or the relative frequency characterizing a chance process. Probabilities
D002875 Chromosomes In a prokaryotic cell or in the nucleus of a eukaryotic cell, a structure consisting of or containing DNA which carries the genetic information essential to the cell. (From Singleton & Sainsbury, Dictionary of Microbiology and Molecular Biology, 2d ed) Chromosome
D005785 Gene Conversion The asymmetrical segregation of genes during replication which leads to the production of non-reciprocal recombinant strands and the apparent conversion of one allele into another. Thus, e.g., the meiotic products of an Aa individual may be AAAa or aaaA instead of AAaa, i.e., the A allele has been converted into the a allele or vice versa. Polar Recombination,Polaron,Conversion, Gene,Conversions, Gene,Gene Conversions,Polar Recombinations,Polarons,Recombination, Polar,Recombinations, Polar
D000483 Alleles Variant forms of the same gene, occupying the same locus on homologous CHROMOSOMES, and governing the variants in production of the same gene product. Allelomorphs,Allele,Allelomorph
D013269 Stochastic Processes Processes that incorporate some element of randomness, used particularly to refer to a time series of random variables. Process, Stochastic,Stochastic Process,Processes, Stochastic
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