  In this work, we present a numerical scheme for the approximate solutions of
a 2D crawling cell migration problem. The model, defined on a non-deformable
discoidal domain, consists in a Darcy fluid problem coupled with a Poisson
problem and a reaction-advection-diffusion problem. Moreover, the advection
velocity depends on boundary values, making the problem nonlinear and non
local. \parFor a discoidal domain, numerical solutions can be obtained using
the finite volume method on the polar formulation of the model. Simulations
show that different migration behaviours can be captured.
