CMMSE-17: general analytical laws for metabolic pathways |
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| Authors: | L. Bayón P. Fortuny Ayuso J. M. Grau M. M. Ruiz P. M. Suárez |
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| Affiliation: | 1.Department of Mathematics,University of Oviedo, EPI,Gijón,Spain |
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| Abstract: | In this paper a general formulation for the kinetics of multi-step enzymatic reactions is presented. The optimal enzyme and metabolite concentrations are studied for the problem of minimizing the operation time in which the substrate is converted into the product. We give an analytic solution for three different kinetic models for both the unbranched and branched cases. Sufficient conditions for the optimality of the solution are studied. Several examples are presented. |
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