Stability analysis of the GAL regulatory network in Saccharomyces cerevisiae and Kluyveromyces lactis.

BMC Bioinformatics
Vishwesh V KulkarniGanesh A Viswanathan

Abstract

In the yeast Saccharomyces cerevisiae, interactions between galactose, Gal3p, Gal80p, and Gal4p determine the transcriptional status of the genes required for the galactose utilization. Increase in the cellular galactose concentration causes the galactose molecules to bind onto Gal3p which, via Gal80p, activates Gal4p, which induces the GAL3 and GAL80 gene transcription. Recently, a linear time-invariant multi-input multi-output (MIMO) model of this GAL regulatory network has been proposed; the inputs being galactose and Gal4p, and the outputs being the active Gal4p and galactose utilization. Unfortunately, this model assumes the cell culture to be homogeneous, although it is not so in practice. We overcome this drawback by including more biochemical reactions, and derive a quadratic ordinary differential equation (ODE) based model. We show that the model, referred to above, does not exhibit bistability. We establish sufficiency conditions for the domain of attraction of an equilibrium point of our ODE model for the special case of full-state feedback controller. We observe that the GAL regulatory system of Kluyveromyces lactis exhibits an aberration of monotone nonlinearity and apply the Rantzer multipliers to establish a clas...Continue Reading

References

Jun 19, 2001·The EMBO Journal·S R Biggar, G R Crabtree
May 13, 2005·Nature·Murat AcarAlexander van Oudenaarden
Apr 29, 2006·Journal of Theoretical Biology·Serge SmidtasFrançois Képès

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Citations

Oct 20, 2010·Journal of Mathematical Biology·Ram Rup SarkarSomdatta Sinha
Feb 4, 2012·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·Carlo CosentinoFrancesco Amato
Aug 19, 2010·The EMBO Journal·Nachiket Vartak, Philippe Bastiaens
Oct 26, 2011·Journal of Theoretical Biology·Raluca Apostu, Michael C Mackey
Jun 28, 2012·PLoS Computational Biology·Theresa NiederbergerAchim Tresch

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