A study for multiple steady states of biochemical reactions under substrate and product inhibition

This paper combines Sturm's method with the tangent analysis method to solv e a biochemical reaction involving multiplicity. This method can easily der ive the necessary conditions for multiplicity. In addition, we find a start ing bifurcation point for multiplicity which cannot be obtained by the tang ent method alone. Moreover, a start-up strategy is suggested to obtain a hi gh conversion and unique steady state in four selected kinetic models of bi ochemical reactions, with inhibition. (C) 2000 Elsevier Science S.A. All ri ghts reserved.