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The interaction of the actin cytoskeleton with cell-substrate adhesions isnecessary for cell migration. While the trajectories of motile cells have astochastic character, investigations of cell motility mechanisms rarelyelaborate on the origins of the observed randomness. Here, guided by a fewfundamental attributes of cell motility, we construct a minimal stochastic cellmigration model from ground-up. The resulting model couples a deterministicactomyosin contractility mechanism with stochastic cell-substrate adhesionkinetics, and yields a well-defined piecewise deterministic process. Numericalsimulations reproduce several experimentally observed results, includinganomalous diffusion, tactic migration, and contact guidance. This work providesa basis for the development of cell-cell collision and population migrationmodels.

A stochastic modeling framework for single cell migration: coupling contractility and focal adhesions