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Design and characterisation of capsules is not an easy task owing to themultiple involved preparation factors and parameters. Here, a novel method tocharacterise capsule membrane permeability to solute molecules by an inverseapproach is proposed. Transport of chemical species between the capsule coreand the surrounding medium through the membrane is described by the Fick'ssecond law with a position-dependent diffusion coefficient. Solutions arecomputed in spherical coordinates using a finite difference scheme developedfor diffusion in multilayer configuration. They are validated usingsemi-analytical solutions and fully three-dimensional lattice Boltzmannsimulations. As a proof of concept, the method is applied to experimental dataavailable in the literature on the kinetics of glucose release and absorptionto determine the membrane permeability of capsules. The proposed method is easyto use and determines correctly the permeability of capsule membranes forcontrolled drug release and absorption applications.

Numerical method to characterise capsule membrane permeability for controlled drug delivery