Discontinuity Induced Bifurcations in a Model of Saccharomyces cerevisiae
Chaotic Dynamics
2010-06-22 v1
Abstract
We perform a bifurcation analysis of the mathematical model of Jones and Kompala [K.D. Jones and D.S. Kompala, Cybernetic model of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures, J. Biotech., 71:105-131, 1999]. 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.
Keywords
Cite
@article{arxiv.0807.0249,
title = {Discontinuity Induced Bifurcations in a Model of Saccharomyces cerevisiae},
author = {D. J. W. Simpson and D. S. Kompala and J. D. Meiss},
journal= {arXiv preprint arXiv:0807.0249},
year = {2010}
}
Comments
23 pages, 7 figures