Phase-Field Modeling of Vesicle Motion, Deformation, Aggregation
数学专题报告
报告题目(Title)：Phase-Field Modeling of Vesicle Motion, Deformation, Aggregation
报告人(Speaker)：徐士鑫（Assistant Professor of Mathematics, Duke Kunshan University）
地点(Place)：腾讯会议 619-154-554
时间(Time)：2022年4月8日 周五 15:00-16:00
邀请人(Inviter)：蔡永强
报告摘要
A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between vesicles and the wall of the fluid domain in the absence of cell-wall adhesion introduced by ligand-receptor binding. A second-order accurate in both space and time C^0 finite element method is proposed to solve the model governing equations. Various numerical tests confirm the convergence, energy stability, and conservation of mass and surface area of cells of the proposed scheme. Vesicles with different mechanical properties are also used to explain the pathological risk for patients with sickle cell disease.
主讲人简介
Professor Shixin Xu received the B.Sc. in Mathematics (Hons) from Ocean University of China and a Ph.D. in Mathematics from the University of Science and Technology, China, in 2013. From 2013 to 2017, he held post-doctorate positions at the National University of Singapore, the University of Notre Dame and University of California Riverside (U.S.), and the Fields Institute for Research in Mathematical Sciences (Canada). His research interests are machine learning and data-driven model for diseases, multiscale modeling of complex fluids, homogenization theory and numerical analysis.
