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On the oscillatory transient stage structure of yeast population

Authors
Journal
Journal of Theoretical Biology
0022-5193
Publisher
Elsevier
Publication Date
Volume
99
Issue
4
Identifiers
DOI: 10.1016/0022-5193(82)90198-9

Abstract

Abstract We say that a cell of budding yeast, Saccharomyces cerevisiae, is of stage n when it has n bud scars and hence it has produced n daughters. We then divide the total population X into stage classes according to X = Σ n X n where X n is the number of cells which have produced n daughters. The present work deals with the fractions X n X in the transient phase before the demographic equilibrium, where the fractions attain stationary values, is reached. It is found that the oscillatory (in time) stage structure is possible provided that (i) the generation time of a virgin ( n = 0) cell differs from those of matured ( n ≥ 1) cells by more than the sum of respective standard deviations, and (ii) both the initial stage structure and the initial distribution over the cell cycle phase differ appreciably from those prevailing in the demographic equilibrium.

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