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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > BIMSA Computational Math Seminar Quantitative modeling of perfusion territories on the cortical pial surface and the leptomeningeal collateral circulation
Quantitative modeling of perfusion territories on the cortical pial surface and the leptomeningeal collateral circulation
Organizers
Pipi Hu , Xin Liang , Zhiting Ma , Hamid Mofidi , Axel G.R. Turnquist , Li Wang , Fansheng Xiong , Shuo Yang , Wuyue Yang
Speaker
Jiawei Liu
Time
Thursday, November 6, 2025 3:15 PM - 4:15 PM
Venue
Online
Online
Zoom 928 682 9093 (BIMSA)
Abstract
Understanding the quantitative distribution of cerebral perfusion on the cortical pial surface is essential for evaluating hemodynamic regulation and ischemic compensation mechanisms. In this study, we propose a multiscale modeling framework that couples the Cerebral Autoregulation Mechanism (CAM) with pial perfusion mapping to reconstruct perfusion territories and flow distributions on the cortical surface.
A one-dimensional vascular network was adopted from our previous work as the basis for large-scale hemodynamic computation, while LV2-level geometries were reconstructed from medical-image-based data following the hybrid vascular modeling framework of Satoshi Ii et al. (2020). Perfusion territories were then assigned according to bifurcation and length–radius scaling laws, and point-wise flow computation was achieved through layer-based contributions from multiple outlets.
Simulations were performed at baseline and pathological conditions with middle cerebral artery (MCA) occlusion, demonstrating CAM-based flow redistribution and realistic recovery of collateral pathways. The proposed framework quantitatively links autoregulatory flow dynamics with perfusion territory mapping, providing a new approach for studying cortical hemodynamics and evaluating collateral compensation in ischemic conditions.
Speaker Intro
Dr. Jiawei Liu is currently an Assistant Professor at the Advanced Institute for Materials Research (AIMR), Tohoku University, Japan. She received her Ph.D. in Applied Mathematics from Tsinghua University and previously worked as a postdoctoral researcher at the School of Geosciences and Info-physics, Central South University. Her research focuses on seismic wave propagation, stability analysis and numerical simulation of partial differential equations, and the development of scientific computing tools based on MATLAB App Designer. She has authored more than ten papers as the first or corresponding author in journals such as Geophysical Journal International and Geophysical Prospecting, and holds three granted Chinese invention patents. Dr. Liu has led a provincial Natural Science Foundation project and contributed to two General Programs supported by the National Natural Science Foundation of China.
Beijing Institute of Mathematical Sciences and Applications
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