Journal
MULTISCALE MODELING & SIMULATION
Volume 7, Issue 2, Pages 888-909Publisher
SIAM PUBLICATIONS
DOI: 10.1137/07070231X
Keywords
blood flow; viscoelastic arteries; fluid-structure interaction; Kalman filtering
Funding
- National Science Foundation (NSF) [DMS-0616597, DMS-0410561]
- American Diabetes Association [1-06-CR-25]
- National Institutes of Health (NIH) [NIH-NINDS R01 NS45745-01A2, 1R41NS053128-01A2, NIH-NIA-P60 AG8812-11A1 RRCB]
- NATIONAL INSTITUTE OF NEUROLOGICAL DISORDERS AND STROKE [R41NS053128, R01NS045745] Funding Source: NIH RePORTER
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A numerical model based on one-dimensional balance laws and ad hoc zero-dimensional boundary conditions is tested against experimental data. The study concentrates on the circle of Willis, a vital subnetwork of the cerebral vasculature. The main goal is to obtain efficient and reliable numerical tools with predictive capabilities. The flow is assumed to obey the Navier-Stokes equations, while the mechanical reactions of the arterial walls follow a viscoelastic model. Like many previous studies, a dimension reduction is performed through averaging. Unlike most previous work, the resulting model is both calibrated and validated against in vivo data, more precisely transcranial Doppler data of cerebral blood velocity. The network considered has three inflow vessels and six outflow vessels. Inflow conditions come from the data, while outflow conditions are modeled. Parameters in the outflow conditions are calibrated using a subset of the data through ensemble Kalman filtering techniques. The rest of the data is used for validation. The results demonstrate the viability of the proposed approach.
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