Numerical approximation of a 3D mechanochemical interface model for skin patterning

We introduce a model for the mass transfer of molecular activators and inhibitors in two media separated by an interface, and study its interaction with the deformations exhibited by the two-layer skin tissue where they occur. The mathematical model results in a system of nonlinear advection-diffusion-reaction equations including cross-diffusion, and coupled with an interface elasticity problem. We propose a Galerkin method for the...