The dynamic and steady-state behaviors of three coupled substrate cycles sharing interconversion enzymes
are investigated in a homogeneous flow-through reactor (CSTR). Lactate dehydrogenase (LDH) converts
pyruvate (Prv) and NADH into lactate (Lac) and NAD, respectively. In turn, NAD [and glucose 6-phosphate
(Glc6P)] is recycled into NADH (and gluconolactone 6-phosphate) by glucose 6-phosphate dehydrogenase,
and in the presence of ferricyanide (Ferri), Lac is reoxidized into Prv [and ferrocyanide (Ferro)]. Finally,
Ferro is reoxidized in turn by a reticulated vitreous carbon (RVC) electrode poised at a controlled potential in a three-electrode configuration. Under thermodynamically open conditions with a constant supply
of Prv, Ferri, NADH, and Glc6P, this multienzyme system exhibits irreversible transitions between alternative stable steady states (bistability without hysteresis) when the electrochemical rate of ferrocyanide recycling
is varied. This nonlinear behavior results from the strong inhibition of LDH exerted by its substrate Prv. In
the absence of an electrochemically driven recycling of ferrocyanide, only reversible bistability (dynamic
hysteresis) may be observed [Simonet et al. J. Phys. Chem.
1996, 100, 19148]. The numerical predictions of
a simple mathematical model taking into account the coupling between the actual enzyme rate equations,
mass transfers, and electrochemical recycling agree both qualitatively and quantitatively with the observed
experiments.