A mathematical model of recombinational amplification of the 2 mu plasmid in the yeast Saccharomyces cerevisiae.

A mathematical model of 2 mu plasmid recombinational amplification in Saccharomyces cerevisiae has been developed, based on mechanisms of 2 mu recombination and replication presented in the literature. A probabilistic description reveals the limits inherent in the recombinational mode of plasmid amplification. These limits correspond well with values calculated from reported results. In the model, copy number control is effected by the constitutive expression of a repressor of recombinase expression. Estimation of the model parameters is accomplished via a set of heuristic rules which restrict the feasible parameter space considerably. It is demonstrated that many parameter sets arbitrarily chosen from the feasible parameter space reproduce the observed characteristics of 2 mu plasmid amplification: rapid correction of downward copy number deviations, with a lack of strict control of steady-state copy number.