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Math Biosci. 2014 Sep;255:33-42. doi: 10.1016/j.mbs.2014.06.006. Epub 2014 Jun 21.

Understanding bistability in yeast glycolysis using general properties of metabolic pathways.

Author information

1
Department of Mathematics, VU University Amsterdam, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands. Electronic address: r.planque@vu.nl.
2
Molecular Cell Physiology, Netherlands Institute of Systems Biology, VU University Amsterdam, De Boelelaan 1085, 1081 HV Amsterdam, The Netherlands.
3
Department of Mathematics, VU University Amsterdam, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands.

Abstract

Glycolysis is the central pathway in energy metabolism in the majority of organisms. In a recent paper, van Heerden et al. showed experimentally and computationally that glycolysis can exist in two states, a global steady state and a so-called imbalanced state. In the imbalanced state, intermediary metabolites accumulate at low levels of ATP and inorganic phosphate. It was shown that Baker's yeast uses a peculiar regulatory mechanism--via trehalose metabolism--to ensure that most yeast cells reach the steady state and not the imbalanced state.

RESULTS:

Here we explore the apparent bistable behaviour in a core model of glycolysis that is based on a well-established detailed model, and study in great detail the bifurcation behaviour of solutions, without using any numerical information on parameter values.

CONCLUSION:

We uncover a rich suite of solutions, including so-called imbalanced states, bistability, and oscillatory behaviour. The techniques employed are generic, directly suitable for a wide class of biochemical pathways, and could lead to better analytical treatments of more detailed models.

KEYWORDS:

Bifurcation analysis; Biochemical pathways; Differential equations; Glycolysis; Yeast

PMID:
24956444
DOI:
10.1016/j.mbs.2014.06.006
[Indexed for MEDLINE]

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