Size and Scar Distributions of the Yeast Saccharomyces Cerevisiae

摘要

A model for the growth of populations of Saccharomyces cerevisiae is formulated and analyzed. The probability of bud emergence is assumed to depend on the size of the cell. Under certain conditions on birth size the model can be reduced to a single renewal equation. Using Laplace transform techniques and renewal theory, the existence of a stable scar and size distribution under certain conditions on the growth rate of individual cells is established. The steady state values for the relative frequencies of unbudded and budded cells in the various scar classes are given.