title: Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae.
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.
authors.affiliation: Department of Applied Mathematics, University of Colorado, Boulder, CO 80309-0526, USA. simpson@colorado.edu
authors.forename: D J W
authors.initials: DJ
authors.lastname: Simpson
authors.forename: D S
authors.initials: DS
authors.lastname: Kompala
authors.forename: J D
authors.initials: JD
authors.lastname: Meiss
mesh_terms: D001683:Biological Clocks / Q000502:physiology; D008954:Models, Biological; D012441:Saccharomyces cerevisiae / Q000254:growth & development*