报告地点：行健楼学术活动室526
邀请人：王雨顺教授
Abstract: Differences in solute concentration across a semipermeable membrane of cells generates transmembrane osmotic water ow. The interaction of such ows with membrane and ow mechanics is an important area in many biological applications. Another driving force people observe in cell migration is the poly-merization/depolymerization cycle of actin network inside the cell. In this pre-sentation, we will discuss a mathematical model that allows us studying the interplay between di_usive, osmotic and mechanical e_ects from all force factors, and the numerical simulations. In the model, an osmotically active solute obeys an advection-di_usion equation in a region demarcated by a deformable membrane. The interfacial membrane allows transmembrane water ow which is determined by osmotic and mechanical pressure di_erences across the membrane. Actin network is constantly in polymerization cycle and interact with the elastic membrane. The numerical method is based on an immersed boundary method for uid-structure interaction and a Cartesian grid embedded boundary method for the solute and actin network. We demonstrate our numerical algorithm with the test case of an osmotic engine, a recently proposed mechanism for cell propulsion