An Integro-Differential Equation for 1D Cell Migration (original) (raw)

This study presents an integro-differential equation model to describe one-dimensional (1D) cell migration driven by filopodial activity. The model accounts for the forces exerted by filopodia based on their densities, existence times, and orientations, providing insights into the mechanisms of directed cell movement on a flat homogeneous substrate. Key findings from numerical simulations illustrate how force interactions stabilize cell motion and the conditions under which significant migration occurs.