Pattern formation inside living cells
Cell motility is powered by the dynamics of structural proteins (actin). The proteins that regulate actin (GTPases) spontaneously form patterns inside a cell. I will survey mathematical models for this chemical pattern formation. Reaction-diffusion models of GTPases have interesting wave-pinning behavior. Feedback from actin, mechanical tension, cell size change, and other factors results in other exotic wavelike patterns. I will discuss implications to single and multiple cell behavior.