Abstract

A modular FORTRAN computer program which fits data to the numerical solution of a system of ordinary differential equations is described. The algorithm by Treanor integrated our stiffest systems of chemical reaction rate equations considerably faster than other routines which we have tried. This appears to be a consequence of the exponential nature of the solutions to chemical rate equations. Marquardt's method is used to obtain best fit parameters. Several statistics (chi-square probability, Signs and Runs tests, linear error analysis, Monte Carlo simulations, and support plane calculations) are included to judge the adequacy of fit and the accuracy of the parameter estimates. The program is applied to experimental and synthetic, transient state kinetic data from enzyme catalyzed reactions to illustrate the determination of rate constants. Factors affecting the stiffness of chemical rate equations are investigated and other applications of the program are considered.

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