Abstract
An analytical solution is given for a continuous deterministic model which describes the stage-structured dynamics of a population of yeast, Saccharomyces cerevisiae. Methods from human demography are used to analyze the asymptotic equilibrium stage structure and especially the transient dynamics as equilibrium is approached. An explicit prescription is given for determining the attenuation and period of cyclical transients from cell kinetic parameters. It is shown that oscillatory transients are a general phenomenon and are produced by asymmetry of cell division as well as dispersion of cell division rates.
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