Theory and Computation of PDE Team

Jiawei Liu

Thursday, October 22, 2026 3:00 PM - 4:00 PM

Online

Zoom 518 868 7656 (BIMSA)

We present a multiscale mathematical model of blood circulation to investigate systemic hemodynamics and cerebral blood flow redistribution under arterial occlusion and following bypass surgery. The closed-loop model couples one-dimensional (1D) models of large arteries and veins with zero-dimensional (0D) lumped-parameter models of the heart, pulmonary circulation, and peripheral vascular beds. Within this framework, we incorporate a cerebral arterial network reconstructed from medical images, which includes the complete Circle of Willis (CoW), together with a cerebral autoregulation mechanism (CAM).

The cerebral model is further extended to include pial collateral arterioles and penetrating arterioles supplying the underlying brain tissue. Simulations of middle cerebral artery occlusion assess the effects of collateral circulation and autoregulation on pressure distributions, blood flow redistribution, and regional perfusion deficits. A STA–MCA bypass is introduced into the vascular network, and preliminary simulations compare cerebral perfusion before and after bypass opening under different collateral conditions.

Dr. Jiawei Liu is currently an Assistant Professor at the Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Japan. She received her Ph.D. degree from Tsinghua University and previously worked as a Postdoctoral Research Fellow at the School of Geophysics and Information Physics, Central South University, China. Her research interests include multiscale modeling of the human circulatory system, coupled regulation of cerebral and cardiovascular hemodynamics, and parallel numerical simulation of physiological systems. She has developed an interactive visualization and simulation app integrating whole-body circulation, cerebral blood flow, and heart–lung dynamics, which is now being jointly studied with medical teams from The University of Tokyo and Tohoku University. Dr. Liu has published more than ten papers as the first or corresponding author in international journals such as Geophysical Journal International and Geophysical Prospecting, led one provincial-level Natural Science Foundation project, and holds three national invention patents. Her current research focuses on establishing a unified theoretical and computational framework for understanding and predicting blood circulatory regulation of the whole body and disease progression through multiscale modeling and computational physiology.