title: A study for multiple steady states of biochemical reactions under substrate and product inhibition.
abstract: This paper combines Sturm's method with the tangent analysis method to solve a biochemical reaction involving multiplicity. This method can easily derive the necessary conditions for multiplicity. In addition, we find a starting bifurcation point for multiplicity which cannot be obtained by the tangent method alone. Moreover, a start-up strategy is suggested to obtain a high conversion and unique steady state in four selected kinetic models of biochemical reactions, with inhibition.
authors.affiliation: Department of Chemical Engineering, National Chin-yi Institute of Technology, 411, ROC, Taichung, Taiwan
authors.initials: Y
authors.lastname: Chien