Control analysis of biochemical pathways: a novel procedure for calculating control coefficients, and an additional theorem for branched pathways |
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| Authors: | C Giersch |
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| Affiliation: | 1. Department of Radiology and Imaging Sciences, Emory University School of Medicine, Atlanta, Georgia;2. Department of Radiology, University of Kentucky, Lexington, Kentucky;1. Food Engineering and Technology Department, Institute of Chemical Technology, NM Parikh Marg, Matunga, Mumbai, 400 019, India;2. Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000, Zagreb, Croatia;1. School of Environment and Energy, Shenzhen Graduate School of Peking University, Shenzhen, 518055, P.R. China;2. Graduate School of Life and Environmental Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, 305-8572, Japan;3. School of Environmental Science and Engineering, Tianjin University, Tianjin, 300072, P.R. China;4. School of Water Resource and Environment, China University of Geosciences (Beijing), Beijing, 10083, P.R. China;1. Department of Chemical Engineering, The Pennsylvania State University, University Park, PA, USA;2. DOE Center for Advanced Bioenergy and Bioproducts Innovation, The Pennsylvania State University, Univesity Park, PA, USA |
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| Abstract: | A novel method for calculating control coefficients of individual enzymes on fluxes and concentrations in metabolic pathways is presented. This method is derived by applying the theorem on implicit functions to the equations defining the steady state metabolite concentrations; it allows verification of the existing summation theorems and connectivity relations, and leads to a novel theorem for flux control coefficients in branched pathways. The method and the novel theorem are illustrated by several examples. |
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