Blood Clotting Math Modeling

Abstract:
l Thromboembolism, one of the leading causes of morbidity and mortality worldwide, is characterized by formation of obstructive intravascular clots (thrombi) and their mechanical breakage (embolization). A large number of mathematical and computational models have been developed to provide quantitative analysis of blood clot formation and its mechanics. The main challenge is that the formation and deformation of blood clot are multicomponent and multiscale processes. In this talk, I will talk about three models in nano-scale, cell-scale and macro-scale, respectively. The model in nano-scale is a ODE model to study the formation of αIIbβ3-fibrin(ogen) complex. For the cell scale and macroscale, models are derived by using Energetic variation method under phase filed framework, to study the mechanical stability of blood clots and their clinic applications.