Parameter Estimation Techniques for Transport Equations with Application to Population Dispersal and Tissue Bulk Flow Models.

Abstract
The authors develop techniques for estimating the coefficients, boundary data, and initial data associated with transport equations (or more generally, parabolic distributed models). Their estimation schemes are based on cubic spline approximations, for which convergence results are given. They discuss the performance of these techniques in two investigations of biological interest: (1) transport of labeled sucrose in brain tissue white matter, and (2) insect dispersal that cannot be modeled by a random diffusion mechanism alone. (Author)

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