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Drug release from collagen matrices is in most cases governed by diffusion from swollen matrices but also enzymatic matrix degradation or hydrophobic drug/collagen interactions may contribute. To reduce water uptake and to prolong the release, insoluble collagen matrices have been chemically or dehydrothermally crosslinked. Assuming Fickian diffusion a(More)
A drug delivery system, named minirod, containing insoluble non-cross-linked collagen was prepared to investigate the release of model drug compounds. To characterise the complete drug release process properly, a mathematical model was developed. Previously, a mathematical model describing water penetration, matrix swelling and drug release by diffusion(More)
In this paper we analyze an Euler implicit-mixed finite element scheme for a porous media solute transport model. The transporting flux is not assumed given, but obtained by solving numerically the Richards equation, a model for sub-surface fluid flow. We prove the convergence of the scheme by estimating the error in terms of the discretization parameters.(More)
In this paper we analyze the convergence of a numerical scheme for a class of degenerate parabolic problems. Such problems are often used to model reactions in porous media, and involve a nonlinear, possibly vanishing diffusion. The scheme considered here involves the Kirchhoff transformation coupled with the regularization of the nonlinearity, and is based(More)
The variance of the advection-diffusion processes with variable coefficients is exactly decomposed as a sum of dispersion terms and memory terms consisting of correlations between velocity and initial positions. For random initial conditions, the memory terms quantify the departure of the preasymptotic variance from the time-linear diffusive behavior. For(More)