| Speaker: | Pierre Gremaud, Dept. of Mathematics, NCSU, Raleigh, NC |
| Title: | Numerical simulation of cerebral blood flow |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
The Circle of Willis is a vital part of the network of arteries in the brain. This structure presents topological variations from person to person. Those variations affect perfusion responses to strokes for instance. A fluid dynamics model is proposed and combined with subject specific anatomical information to predict blood flow in the Circle of Willis. The flow is assumed to obey the Navier-Stokes equations and the mechanical reactions of the vessels follow a viscoelastic model. Issues related to discretization and problems on networks will be addressed. Unlike most previous studies, the resulting model is calibrated and validated against in vivo data. Numerical results demonstrating the validity of the proposed approach will be discussed.
Last revised: 01/22/08 By: abnersg@math