Application of Markov chains to linked genes with interference. I. No selection.
The case of a population that reproduces wholly by selfing and has three loci with two alleles each is considered. Expressions are obtained for the mean number of times that a process passes through a transient state and for the mean number of generations needed to reach an absorbing state; expressions for other interesting parameters are also obtained. Both the probability of recombination and the coincidence (C) have been considered as variables. The objective of the study was to find expressions that allow (i) direct computation of the entries of the inverse matrices with the aim of avoiding problems of ill-conditioning that could appear in the stochastic matrices involved and (ii) analysis of the psi i(C,s,q) functions of the coincidence C and gene distances s,q. In this part of the work, selective values for the genotypes and expressions for the asymmetry of the distributions are not included. Finally, values are assigned to each of the psi i, psi i(C0,q0,s0).
Bartoloni
N J
NJ
Cátedra de Genética, Facultad de Agronomía, Universidad de Buenos Aires, Argentina.
D008040:Genetic Linkage; D005828:Genetics, Population; D008433:Mathematics; D008957:Models, Genetic; D011336:Probability; D012641:Selection, Genetic