R. Michalski et al., DERIVFIT - A PROGRAM FOR RATE-EQUATION PARAMETER FITTING USING DERIVATIVES, Computers and biomedical research, 31(2), 1998, pp. 71-89
A C program for fitting parameters in enzymatic rate equations is pres
ented. The DerivFit program employs the reaction scheme in the form of
ordinary differential equations (ODEs). The kinetic parameters are fi
tted to the experimental data by minimizing the sum of squared deviati
ons of experimental points from theoretically predicted progress curve
s. In the minimization process we use the Gradient, Newton, and Marqua
rdt algorithms. The gradients are calculated explicitly by solving a s
et of additional ODEs that are automatically attached by the program,
taking advantage of a general formulation of the basic ODEs that deter
mine the reaction's time course. The program is applied to simple enzy
matic systems including slow tight-binding inhibition. (C) 1998 Academ
ic Press.