Bose-Einstein distribution, condensation transition, and multiple stationary states in multiloci evolution of diploid populations
The mapping between genotype and phenotype is encoded in the complex web of epistatic interaction between genetic loci. In this rugged fitness landscape, recombination processes, which tend to increase variation in the population, compete with selection processes that tend to reduce genetic variation. Here we show that the Bose-Einstein distribution describe the multiple stationary states of a diploid population under this multi-loci evolutionary dynamics. Moreover, the evolutionary process might undergo an interesting condensation phase transition in the universality class of a Bose-Einstein condensation when a finite fraction of pairs of linked loci, is fixed into given allelic states. Below this phase transition the genetic variation within a species is significantly reduced and only maintained by the remaining polymorphic loci.
genetic loci, genetic variation, condensation transition, stationary states, diploid populations
Bose-Einstein condensation, Statistical mechanics
Bianconi, Ginestra and Rotzschke, Olaf, "Bose-Einstein distribution, condensation transition and multiple stationary states in multiloci evolution of diploid populations" (2010). Physics Faculty Publications. Paper 43. http://hdl.handle.net/2047/d20000396
Click button above to open, or right-click to save.