Modelling of flow through the circle of Willis and cerebral vasculature

WIT Transactions on Biomedicine and Health

Volumn 13, Issue , 2009, Pages 83-92

  Sutalo I D ^a,b   Bui, A ^a   Ahmed, S ^a   Liffman, K ^a,b   Manasseh, R ^a  

^a CSIRO   (Australia)

^b CURTIN UNIVERSITY   (Australia)

Author keywords

Carotid arteries; Cerebral circulation; Cerebral hemodynamics; Circle of Willis; Computational fluid dynamics; Numerical models

Indexed keywords

CAROTID ARTERY; CEREBRAL CIRCULATION; CEREBRAL HEMODYNAMICS; CIRCLE OF WILLIS; NUMERICAL MODELS;

BIOLOGY; COMPUTERIZED TOMOGRAPHY; FLUID DYNAMICS; FORECASTING; HEMODYNAMICS; HYDRODYNAMICS; MEDICAL IMAGING; NUMERICAL METHODS; THREE DIMENSIONAL; TOMOGRAPHY;

COMPUTATIONAL FLUID DYNAMICS;

EID: 71649105236     PISSN: 17433525     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2495/BIO090081     Document Type: Conference Paper

References (22)

1. Kufahl, R.H. & Clark, M.E., A circle of Willis simulation using distensible vessels and pulsatile flow. Journal of Biomechanical Engineering-Transactions of the ASME, 107(2), pp. 112-122, 1985.
2. Hillen, B., Hoogstraten, H.W. & Post, L. A mathematical model of the flow in the circle of Willis. Journal of Biomechanics, 19(3), pp. 187-194, 1986.
3. Hillen, B., Drinkenburg, B.A.H., Hoogstraten, H.W. & Post, L., Analysis of flow and vascular-resistance in a model of the circle of Willis. Journal of Biomechanics, 21(10), pp. 807-814, 1988.
4. Cassot, F., Zagzoule, M. & Marc-Vergnes, J.P., Hemodynamic role of the circle of Willis in stenoses of internal carotid arteries. An analytical solution of a linear model. Journal of Biomechanics; 33(4), 395-405, 2000.
5. Moorhead, K.T., Doran, C.V., Chase, J.G. & David, T., Lumped parameter and feedback control models of the auto-regulatory response in the circle of Willis, Comput Methods Biome, 7(3), pp. 121-130, 2004.
6. Dickey, P.S., Kailasnath, P., Bloomgarden, G., Goodrich, I. & Chaloupka, J., Computer modeling of cerebral blood flow following internal carotid artery occlusion. Neurological Research, 18(3), pp. 259-266, 1996.
7. Kailasnath, P., Dickey, P.S., Gahbauer, H., Nunes, J., Beckman, C. & Chaloupka, J.C., Intracarotid pressure measurements in the evaluation of a computer model of the cerebral circulation. Surgical Neurology, 50(3), pp. 257-263, 1998.
8. Cieslicki, K. & Ciesla, D., Investigations of flow and pressure distributions in physical model of the circle of Willis. Journal of Biomechanics, 38(11), pp. 2302-2310. 2005.
9. Roessler, F.C., Reith, W. & Siegel, G., Simulation of cerebral hemodynamics for preoperative risk assessment. Brain Research, 1118, pp. 183-191, 2006.
10. Alastruey, J., Parker, K.H., Peiro, J., Byrd, S.M. & Sherwin, S.J., Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows. Journal of Biomechanics, 40(8), pp. 1794-1805, 2007.
11. Matthys, K.S., Alastruey, J., Peiro, .J, Khir, A.W., Segers, P., Verdonck, P.R., Parker, K.H. & Sherwin, S.J., Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements. Journal of Biomechanics, 40(15), pp. 3476-3486, 2007.
12. Ursino, M., Lodi, C.A. & Russo, G., Cerebral hemodynamic response to CO2 tests in patients with internal carotid artery occlusion: Modeling study and in vivo validation. J Vasc Res, 37(2), pp. 123-133, 2000.
13. Viedma, A., Jimenez-Ortiz, C. & Marco, V., Extended Willis circle model to explain clinical observations in periorbital arterial flow. Journal of Biomechanics, 30(3), 265-272, 1997.
14. Fernandez, A., David, T. & Brown, M.D., Numerical models of autoregulation and blood flow in the cerebral circulation. Comp Meth Biomech En, 5(1), pp. 7-19, 2002;
15. David, T., Brown, M. & Ferrandez, A., Auto-regulation and blood flow in the cerebral circulation. Int. J. Numer. Meth. Fluids, 43, 701-173, 2003.
16. Cebral, J.R., Castro, M.A., Soto, O., Lohner, R. & Alperin, N., Blood-flow models of the circle of Willis from magnetic resonance data. Journal of Engineering Mathematics, 47(3-4), pp. 369-386, 2003.
17. Moore, S., David, T., Chase, J.G., Arnold, J. & Fink, J., 3D models of blood flow in the cerebral vasculature. Journal of Biomechanics, 39(8), 1454-1463, 2006.
18. Moore, S.M., Moorhead, K.T., Chase, J.G., David, T., & Fink, J., One-dimensional and three-dimensional models of cerebrovascular flow. Journal of Biomechanical Engineering-Transactions of the ASME, 127(3), pp. 440-449, 2005.
19. Kim, C.S., Kiris, C., Kwak, D. & David, T., Numerical simulation of local blood flow in the carotid and cerebral arteries under altered gravity. Journal of Biomechanical Engineering-Transactions of the ASME, 128(2), pp. 194-202, 2006.
20. Kim, C.S., Numerical simulation of auto-regulation and collateral circulation in the human brain. Journal of Mechanical Science and Technology, 21(3), pp. 525-535, 2007.
21. Alnaes, M.S., Isaksen, J., Mardal, K.A., Romner, B., Morgan, M.K. & Ingebrigtsen, T., Computation of hemodynamics in the circle of Willis. Stroke 38(9), pp. 2500-2505, 2007.
22. Bui, A., Šutalo, I.D., Manasseh, R. & Liffman, K, Dynamics of pulsatile flow in fractal models of vascular branching networks. Med. & Biol. Eng. & Comp. 2009.