compute_permeabilit​y

This Matlab script estimates the permeability of the membrane of capsules with application for drug release and absorption.

This Matlab script estimates the permeability of the membrane of capsules with application for drug release and absorption. The script solves the diffusion equation in 1D over a specified range of diffusion coefficients in the core and the membrane (vec_Dc and vec_Dm). It computes the RMSE error (root-mean-square error) between the computed numerical solution and the experimental data for each couple (Dc,Dm) and returns the optimal diffusion coefficients for the models of a capsule, and a homogeneous sphere.

Input required file:

- exp_data.dat: experimental data points.

Output files:

- kinetics_capsule.dat: release kinetics for the model of a capsule,

- kinetics_homogeneous.dat: release kinetics for the homogeneous sphere,

- rmse.dat: the RMSE estimated for each couple (Dc,Dm),

- optim_diffusivities.dat: optimal diffusivities (minimal RMSE) for the models of a capsule and a homogeneous sphere.

Authors: Clément Bielinski, Badr Kaoui ([e-mail]),

Université de Technologie de Compiègne, CNRS, Compiègne, France

Date (DD/MM/YYYY): 04/02/2021