Abstract
In earlier work we have described how computer algebra may be used to derive composite rate laws for complete systems of equations, using the mathematical technique of Gröbner Bases (Bennett, Davenport and Sauro, 1988). Such composite rate laws may then be fitted to experimental data to yield estimates of kinetic parameters.
Recently we have been investigating the practical application of this methodology to the estimation of kinetic parameters for the closed two enzyme system of aspartate aminotransferase (AAT) and malate dehydrogenase (MDH) (Fisher 1990a; Fisher 1990b; Bennett and Fisher, 1990):
In this paper we present a fuller (although not yet complete) analysis of the system. We show how symbolic estimates of the error behaviour of the parameters can be made, and used to identify those which are of kinetic significance. Finally we consider how metabolic control analysis can be applied directly to such a system.
Similar content being viewed by others
References
Bennett, J.P., J.H. Davenport and H.M. Sauro (1988). Solution of some equations in biochemistry. Bath Computer Science Technical Report 88-12.
Bennett, J.P. and D.L. Fisher (1990). Computer algebra for the analysis of enzyme kinetics: A case study. Bio ThermoKinetics 1990: 82.
Bock, H.G. (1981). Numerical treatment of inverse problems in chemical reaction kinetics. In: K.H. Ebert, P. Deuflhard and W. Jäger, eds. Modelling of Chemical Reaction Systems, p. 102–125. Springer-Verlag.
Fasella, P. and G.G. Hammes (1967). A temperature study of aspartate aminotransferase, a reinvestigation. Biochemistry 6: 1798–1804.
Fisher, D.L. (1990a). Applications of computer algebra to enzyme analysis. Computer Science Technical Report 90-32, School of Mathematical Sciences, University of Bath, February 1990.
Fisher, D.L. (1990b). Novel computer techniques in enzyme kinetics. Computer Science Technical Report 90-41, School of Mathematical Sciences, University of Bath, August 1990.
Raval, D. and R.G. Wolfe (1962). Malic dehydrogenase. III. Kinetic studies of the reaction mechanism by product inhibition. Biochemistry 1: 1112–1117.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bayram, M., Bennett, J.P. & Dewar, M.C. Using computer algebra to determine rate constants in biochemistry. Acta Biotheor 41, 53–62 (1993). https://doi.org/10.1007/BF00712774
Issue Date:
DOI: https://doi.org/10.1007/BF00712774