Semiconservative quasispecies equations for polysomic genomes: The general case

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.Comment: 16 pages, 3 figure

LABELING OF MURINE MASTOCYTOMA CELLS IN VITRO WITH PLASMA TRITIATED THYMIDINE-LABELED ANIMALS

40 min after injecting tritiated thymidine into an animal, 20–30% of the total plasma radioactivity is nonvolatile. This fraction decreases to about 6% 10 hr after the injection and 3% 24 hr after the injection. There appears to be material in this nonvolatile fraction that can label mastocytoma cells in culture. The labeling indices decrease with time after injection in the same way as the nonvolatile fraction. The 40 min plasma sample contains sufficient material to allow accurate assessment of the fraction of cells in S in culture after a 6 wk exposure. The circulating material is not apparently available for incorporation into those cells in cycle in the donor animal. The material appears to be related to the G0 cell-specific pool that has been described elsewhere. The trichloroacetic acid-soluble or ethanol-soluble nonvolatile activity appears to contain thymine, and some thymidine-phosphorylated compounds