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Updated: Jan 1, 2026

Efficient Sporulation of Saccharomyces cerevisiae in a 96 Multiwell Format
Published on: September 17, 2016
Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae
D J W Simpson1, D S Kompala, J D Meiss
1Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526, USA. simpson@colorado.edu
Abstract:
We perform a bifurcation analysis of the mathematical model of Jones and Kompala [K.D. Jones, D.S. Kompala, Cybernetic model of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures, J. Biotechnol. 71 (1999) 105-131]. Stable oscillations arise via Andronov-Hopf bifurcations and exist for intermediate values of the dilution rate as has been noted from experiments previously. A variety of discontinuity induced bifurcations arise from a lack of global differentiability. We identify and classify discontinuous bifurcations including several codimension-two scenarios. Bifurcation diagrams are explained by a general unfolding of these singularities.
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