Premium
Reduced modelling of blood flow in the cerebral circulation: Coupling 1‐D, 0‐D and cerebral auto‐regulation models
Author(s) -
Alastruey J.,
Moore S. M.,
Parker K. H.,
David T.,
Peiró J.,
Sherwin S. J.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1606
Subject(s) - circle of willis , pulsatile flow , cerebral circulation , cerebral blood flow , inflow , circulation (fluid dynamics) , mechanics , hemodynamics , blood flow , cardiology , flow (mathematics) , mathematics , medicine , physics
Pulsatile blood flow in the cerebral circulation is simulated using a nonlinear, one‐dimensional model of the arterial haemodynamics coupled in the time domain with lumped parameter and flow auto‐regulation models of the perfusion of the microcirculation. A linear analysis of the coupling shows that a resistance equal to the characteristic impedance of the blood vessel is required at the inflow of a terminal windkessel model to avoid the generation of non‐physiological wave reflections. The cerebral model suggests that the worst anatomical variation of the circle of Willis in terms of restoring normal cerebral flows after a sudden carotid occlusion is a circle without the first segment of the contralateral anterior cerebral artery. Copyright © 2007 John Wiley & Sons, Ltd.