The Inverse Problem: Estimation of Kinetic Parameters

  • J. Milstein
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 18)


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.)


Inverse Problem Random Direction Nonlinear Ordinary Differential Equation Algorithmic Procedure Multiple Trajectory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heildelberg 1981

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  • J. Milstein

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