The Inverse Problem: Estimation of Kinetic Parameters

During the past few years, there has been an overwhelming trend in applied mathematics to formulate and develop algorithmic procedures to solve the inverse problem described by nonlinear ordinary differential equations (ODE’s) [7.1–4]. Yet surprisingly only very few significant results have been obtained. Moreover, the estimation of kinetic parameters for systems of nonlinear ODE’s having many variables is still a formidable problem [7.5–7], It is the purpose of this article to present an improved method for parameter estimation designed specifically for large systems described by nonlinear ODE’s and to outline a new methodology together with new algorithms. (Full theoretical analysis of the algorithms will be presented elsewhere.)