General rate equations and their applications for cyclic reaction networks: pyramidal systems

The King-Altman-Hill graphic method has been widely used to derive the rate laws of enzymatic reactions, but the compilation of all the possible pathways is very time-consuming and the reaction rates are not given explicitly. In this study, the network reduction and Y-to-delta transformation techniq...

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Bibliographic Details
Published in:Chemical engineering science 2003-04, Vol.58 (8), p.1407-1415
Main Authors: Chen, Tai-Shang, Chern, Jia-Ming
Format: Article
Language:English
Subjects:
Biological and medical sciences
Catalysis
Enzyme
Fundamental and applied biological sciences. Psychology
General aspects
Kinetics
Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects)
Network reduction
Pyramidal system
Reaction rate
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Summary:The King-Altman-Hill graphic method has been widely used to derive the rate laws of enzymatic reactions, but the compilation of all the possible pathways is very time-consuming and the reaction rates are not given explicitly. In this study, the network reduction and Y-to-delta transformation techniques were systematically used to derive the general rate equations for pyramidal reaction networks in homogeneous catalysis. The enzymatic reaction of 7,8-dihydrofolate and NADPH to form 5,6,6,8-tetrahydrofolate and NADP, catalyzed by dihydrofolate reductase was taken as an example to illustrate the application of the general reaction rate equations. The calculated overall reaction rate was compared with that obtained from the exact solution by matrix algebra and those obtained from the King-Altman-Hill graphic method.
ISSN:0009-2509
1873-4405
DOI:10.1016/S0009-2509(02)00678-4