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Published on: August 19, 2013
A study for multiple steady states of biochemical reactions under substrate and product inhibition
1Department of Chemical Engineering, National Chin-yi Institute of Technology, 411, ROC, Taichung, Taiwan
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.
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