报告题目：On a Hyperbolic-Parabolic Chemotaxis System Modeling Vasculogenesis

报告时间：2023-3-16  15:00 - 16:00

报告人：王治安 教授  香港理工大学

报告地点：理学院东北楼四楼报告厅

Abstract：Blood vessel network formation in vitro demonstrates that endothelial cells randomly dispersing on a gel substrate (matrix) can spontaneously organize into connected capillary networks with phase transitions. This phenomenon has been called in vitro angiogenesis - a major factor of tumor growth. How endothelial cells self-organize geometrically into capillary networks and how individual cells cooperate to form the coherent patterns remain poorly understand biologically up to date. These coherent network patterns cannot be explained by the macroscopic chemotaxis models that lead to point-wise blowup or rounded aggregates, nor by the microscopic chemotaxis models that describe single cell behaviors. However the damped hydrodynamic (hyperbolic-parabolic) chemotaxis model can numerically reproduce the key features of remarkable networking patterns. In this talk, we shall report some recent progresses made on this system including the stability of phase transition steady states and nonlinear diffusion waves.