Geometrical Multiscale Model and Efficient Parallel Algorithm for Ischemic Cerebrovascular Disease
科研大讨论系列报告
报告题目(Title):Geometrical Multiscale Model and Efficient Parallel Algorithm for Ischemic Cerebrovascular Disease
报告人(Speaker):蒋晓芸 (山东大学)
地点(Place):后主楼1124
时间(Time):9月27日(周五),15:00-16:00
邀请人(Inviter):蔡勇勇
报告摘要
Cardiovascular and cerebrovascular diseases rank first in mortality rates in China. On average, 2 out of every 5 deaths are caused by cardiovascular and cerebrovascular diseases, with ischemic cardiovascular and cerebrovascular diseases accounting for 70-80%, which severely impacts public health. This study establishes a multifield coupling model for oxygen transport in brain tissue microcirculation and neurovascular interaction regulation. Additionally, a 0D lumped parameter model of the entire brain is constructed. Using this model, the study explores the effects of abnormalities in the Circle of Willis on ischemic cerebral artery hemodynamics. Furthermore, the model is optimized using the simulated annealing algorithm to achieve personalized solutions. A 3D/1D/0D geometric multiscale model of the entire brain is also constructed. A numerical method combining the finite element method and the explicit Runge-Kutta method, along with an extrapolation method, is employed for the rapid solution of the 1D/0D model. To address the challenges of long computation times (with time steps exceeding 100,000) and poor stability in the 3D model, a parallel computing solution based on domain decomposition is implemented on supercomputers, resulting in an efficient and stable parallel computation method.
主讲人简介
蒋晓芸 山东大学数学学院博士生导师,山东大学特聘教授,国家万人计划领军人才(教学名师),享受国务院特殊津贴专家,作为第一完成人获国家教学成果二等奖及山东省自然科学二等奖各1项,主持国家自然科学基金委国际合作重点项目1项,主持科技部数学与应用数学重点专项课题1项,主持山东省重大基础研究项目1项,获发明专利2项。曾获全国五一巾帼标兵、山东省优秀研究生指导教师称号。