Semiconservative quasispecies equations for polysomic genomes: The general case

Abstract

This paper develops a formulation of the quasispecies equations appropriate for polysomic, semiconservatively replicating genomes. This paper is an extension of previous work on the subject, which considered the case of haploid genomes. Here, we develop a more general formulation of the quasispecies equations that is applicable to diploid and even polyploid genomes. Interestingly, with an appropriate classification of population fractions, we obtain a system of equations that is formally identical to the haploid case. As with the work for haploid genomes, we consider both random and immortal DNA strand chromosome segregation mechanisms. However, in contrast to the haploid case, we have found that an analytical solution for the mean fitness is considerably more difficult to obtain for the polyploid case. Accordingly, whereas for the haploid case we obtained expressions for the mean fitness for the case of an analogue of the single-fitness-peak landscape for arbitrary lesion repair probabilities (thereby allowing for non-complementary genomes), here we solve for the mean fitness for the restricted case of perfect lesion repair.

16 pages, 3 figures

References in corpus (11)

• Error Thresholds on Dynamic Fittness-Landscapes
• Recombination dramatically speeds up evolution of finite populations
• Phase Diagrams of Quasispecies Theory with Recombination and Horizontal Gene Transfer
• Co-Evolution of quasispecies: B-cell mutation rates maximize viral error catastrophes
• Quasispecies Theory for Horizontal Gene Transfer and Recombination
• Solution of the Quasispecies Model for an Arbitrary Gene Network
• Equilibrium Distribution of Mutators in the Single Fitness Peak Model
• Semiconservative Replication in the Quasispecies Model
• The Error and Repair Catastrophes: A Two-Dimensional Phase Diagram in the Quasispecies Model
• Evolutionary dynamics of adult stem cells: Comparison of random and immortal strand segregation mechanisms
• Solution of the Crow-Kimura and Eigen models for alphabets of arbitrary size by Schwinger spin coherent states