RESEARCH

 

Research Areas:

 

Multiscale Simulation of Arterial Blood Flow

The human vascular system is very complex, with five liters of blood traveling through the vascular network of 60,000 miles in just one minute. Interactions of blood ow in the human body occur between di erent scales, in which the large-scale flow features are being coupled to cellular and sub-cellular biology, or at similar scales in different regions of the vascular system.

We propose to develop and validate an integrated model of the cerebrovasculature characterized by three distinct spatial length scales:

  • The macrovascular network (MaN) consisting of large arteries, down to diameter of 0.5 mm, which are patient-specific and can be reconstructed from MRA imaging.
  • The mesovascular network (MeN) consisting of small arteries and arterioles, from 0.5mm down to 0.01 mm, which follow a tree-like structure governed by specific fractal laws.
  • The microvascular network (MiN) consisting of the capillary bed, which follows a net-like structure.

More comprehensively, we propose to separate the simulations into two regimes: The first one involves all arteries that can be accurately imaged clinically at the present time, whereas the second regime involves the �subpixel� dynamics (MeN and MiN).

Specifically, we focus on the following projects:

 

Ultrascale parallel paradigms and High-order Spectral/hp Element Methods

 

Stochastic Simulations and Uncertainty Quantification

 

Data Assimilation & Low-Dimensional Modeling