Tuesday, June 23, 2015

Glycolytic Occilations in Yeast


This post will deal with yeast gylcolytic occillaions as modeled by Beir et al. in the paper from  March 2000 Biophysical Journal.




The paper was interested in the sustained occilations in glucose and ATP levels in S. Cerevisea that reproducibly arise after a specific series of growth, harvest and starvation conditions.

The full model of anaerobic glycolysis in Yeast is the following:



Which gives a system of six coupled ordinary differential equations:

Glucose'(t)   = Vin - v1
ATP'(t)         = -2v1 + 2v2 - Vatp - p - v5
TrioseP '(t)   = 2v1 - v2 - Vg3p
NADP '(t)    = v2 - v3 + 2v4 -Vnadh - Vg3p
Pyruvate '(t) = v2 - v3 
Ethanol '(t)   = 0
Acetate '(t)   = v4-v5