Gm. Guidi et al., BISTABILITY IN THE ISOCITRATE DEHYDROGENASE REACTION - AN EXPERIMENTALLY BASED THEORETICAL-STUDY, Biophysical journal, 74(3), 1998, pp. 1229-1240
The enzyme isocitrate dehydrogenase (IDH, EC 1.1.1.42) can exhibit act
ivation by one of its products, NADPH. This activation is competitivel
y inhibited by the substrate NADP(+), whereas NADPH competes with NADP
(+) for the catalytic site. Experimental observations briefly presente
d here have shown that if IDH is coupled to another enzyme, diaphorase
(EC 1.8.1.4), which transforms NADPH into NADP(+), the system can att
ain either one of two stable states, corresponding to a low and a high
NADPH concentration. The evolution toward either one of these stable
states depends on the time of addition of diaphorase to the medium con
taining IDH and its substrate NADP(+). We present a theoretical and nu
merical analysis of a model for the IDH-diaphorase bienzymatic system,
based on the regulatory properties of IDH. The results confirm the oc
currence of bistability for parameter values derived from the experime
nts. Depending on the total concentration of NADP(+) plus NADPH and th
e concentration of IDH, the system can either admit a single steady st
ate or display bistability. We obtain an expression for the critical t
ime t, before which diaphorase addition leads to the lower steady sta
te and after which addition of the enzyme leads to the upper steady st
ate of NADPH. The analysis is extended to the case where the second su
bstrate of IDH, isocitrate, is consumed in the course of the reaction
without being regenerated. Bistability occurs only as a transient phen
omenon in these conditions.