Optimal Control of Diffusion-Reaction Systems.
BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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Several formulations are discussed of optimization problems which arise in a natural way in the investigation of transport properties of artificial membranes and general diffusion-reaction media. Nonlinear reaction velocity approximations dictated by reactions of interest to biochemists place the problems in a class to which one cannot apply the usual computational techniques e.g. gradient, conjugate-gradient in a straightforward manner. The inherent difficulties, how one might circumvent them, and some of our initial efforts towards development of feasible computational schemes are discussed.
- Numerical Mathematics