The numerical method of lines is used to discretize the partial differential equation with respect to polynomials of arbitrary even order, and to transform the original system into a sequence of ordinary differential equations, that can be solved then by any available ODE-solver. A special application model is outlined, i.e. the identification of parameters in a system describing the diffusion of a substance through human skin. The model simulates the generation of a metabolite by a Michaelis-Menten-kinetic. Some numerical results are included to show the efficiency of the implemented algorithm.
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