Fitting multiple trajectories simultaneously to a model of inducible enzyme synthesis

The iterative scheme described by Milstein 6] is used to estimate the rate constants of a model describing an inducible enzyme system. The model was formulated by Heinmets 5], and was mathematically analyzed by Roth and Roth 9] using Bellman's quasilinearization technique. The method used in this article makes use of multiple trajectories of the system to obtain a set of parameters which fit the data of all trajectories simultaneously. A comparison of the numerical results is presented. The data used in the calculations were generated in a similar way to that of Roth and Roth. However, we introduce into each datum 5% noise from a random number generator uniformly distributed 0,1].