A Comparison of Computational Models for Eukaryotic Cell Shape and Motility

摘要: Eukaryotic cell motility involves complex interactions of signalling molecules, cytoskeleton, membrane, and mechanics interacting in space time. Collectively, these components are used by the to interpret respond external stimuli, leading polarization, protrusion, adhesion formation, myosin- facilitated retraction. When processes choreo- graphed correctly, shape change results. A wealth experimental data have identified numerous molecular constituents involved processes, but complexity their spatial organiza- tion make this a challenging problem understand. This has motivated theoretical computational approaches with simplified caricatures structure behaviour, each aiming gain better understanding certain kinds cells and/or repertoire behaviour. Reaction-diffusion (RD) equations as well viscoelastic flows been describe machinery. In review, we some recent models for motility, concentrating on simulations changes (mainly two also three dimensions). The is not only due difficulty abstracting simplifying biological because computing RD or fluid flow deforming regions, known ''free- boundary'' problem, an extremely applied mathematics. Here distinct approaches, comparing strengths weaknesses, questions that they able address.