R. Costalat et J. Burger, EFFECT OF ENZYME ORGANIZATION ON THE STABILITY OF YATES-PARDEE PATHWAYS, Bulletin of mathematical biology, 58(4), 1996, pp. 719-737
Yates-Pardee-type metabolic pathways in a heterogeneous cell milieu ar
e modeled as a system of coupled non-linear partial differential equat
ions. A numerical solution to this system is described and some proper
ties of such a physiological system are studied. Confinement with and
without a membrane is considered and it is shown how confinement resul
ts in an increase in the stability of the metabolite concentrations. T
hese results suggest that the enzyme organization may contribute to th
e stability of the cellular metabolism.