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Experimental and numerical modelling of flow in the human cerebral arteries

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Języki publikacji
EN
Abstrakty
EN
The paper presents the results of experiments concerning flow in the model of cerebral supplying arteries and the Circle of Willis (CW). Vascular phantom was prepared on the basis of anatomical specimens. The most typical artery shapes and dimensions were considered. Pressure distribution in 6 characteristic points is provided, and so are the average flow rates in the anterior, middle and posterior section of the brain. Tests were run in the conditions replicating the physiological state (i.e. when the supplying arteries were fully patent) and in pathological conditions, in which the internal carotid and vertebral arteries were occluded on one or both sides. Thus obtained results were compared with the results of computer simulations based on linear and non-linear flow models. To estimate the non-linear resistance of vascular segment two phenomenological formulae were proposed. High degree of correlation between the values obtained from experiments and those registered in non-linear computer model proves usefulness of proposed formulae. It verifies the hypothesis that nonlinearity of flow characteristics of the vessel segments is to a great extent caused by their tortuous and small length in relation to diameter. Non-linear effects are particularly pronounced in conditions of pathological occlusion of supplying vessels.
Rocznik
Tom
Strony
IP17--26
Opis fizyczny
Bibliogr. 24 poz., rys., tab.
Twórcy
  • Institute of Automatic Control and Robotics, Warsaw University of Technology, Boboli 8, 02-525 Warsaw, Poland
Bibliografia
  • [1] BANERJEE RK, CHO YI, BACK LH, Numerical Studies of Three-Dimensional Arterial Flows in Reverse Curvature Geometry: Part I – Peak Flow, Trans. ASME. J. Biomech. Eng., Vol. 115, pp.316-326, 1993.
  • [2] BOVENDEERD, P.H.M., STEENHOVEN, A.S.A., VAN VOSSE, F.N., VOSSERS, G., Steady Entry Flow in a Curved Pipe., Journal of Fluid Mechanics, Vol. 177, pp.505-510, 1987.
  • [3] CIESLICKI, K., LASOWSKA, A. SMOLARSKI A.Z., The influence of channel tortuousity on hydraulic resistance. Bulletin of the Polish Academy of Science series: Earth Science, Vol. 48, pp.161-173, 2000.
  • [4] CIESLICKI, K., LASOWSKA, A., SMOLARSKI, A.Z., Pressure-Flow Relation of Arterial Segments of Variable Geometry. Polish Journal of Medical Physics and Engineering Vol. 6, pp.55-67, 2000.
  • [5] CIESLICKI, K., Hydrodynamic conditions of cerebral circulation. Academic Press EXIT, Warszawa, 2001, (in Polish).
  • [6] CIESLICKI K., CISZEK B., LASOWSKA A., SMOLARSKI A. Z.: Modeling of flow in a network structure of the main cerebral arteries, Bulletin of the Polish Academy of Science, seria: Biological Science, Vol. 50, pp.25-35, 2002.
  • [7] CIESLICKI K., CIEŚLA D., Studies of flow in the physical model of the main supplying and cerebral arteries, Proc. IASTED International Conference on Biomedical Engineering (BioMED), pp.49-52, Innsbruck, 2004.
  • [8] DEAN, W.R., Note on the motion of fluid in a curved pipe, Philosophical Magazine, Vol. 7, pp.208-223, 1927.
  • [9] DU PLESSIS, J.P., KROEGER, D.G., Hydrodynamical entrance length effects for ducts flow with arbitrary inlet velocity profiles. Transactions ASME, Journal of Applied Mechanics, Vol. 51, pp.239-243, 1984.
  • [10] FRANGOS S. G., GAHTAN V., STUMPIO B., Localization of Atherosclerosis. Role of Hemodynamics, Arch. Surg. Vol. 134, pp.1142-1149, 1999.
  • [11] HILLEN, B., DRINKENBURG, B.A., HOOGSTRATEN, H.W., POST, L., Analysis of Flow and Vascular Resistance in a Model of the Circle of Willis, Journal of Biomechanics, Vol. 21, pp.807-814, 1988.
  • [12] HILLEN, B., HOOGSTRATEN, H.W., VAN OVERBEEKE, J.J., VAN DER ZWAN, A., Functional anatomy of the circulus arteriosus cerebri (Willis), Bulletin de l'Association des Anatomistes, Vol. 75, pp.123-126, 1991.
  • [13] HOKSBERGEN A.W.J.; FULESDI B., LEGEMATE D.A., CSIBA L., Collateral Configuration of the Circle of Willis. Transcranial Color-Coded Duplex Ultrasonography and Comparison With Postmortem Anatomy, Stroke, Vol. 31, pp.1346-1351, 2000.
  • [14] KLUYTMANS M., VAN DER GROND J., VAN EVERDINGEN K.J., KLIJN C.J.M., KAPPELLE L.J., VIERGEVER M.A., Cerebral Hemodynamics in Relation to Patterns of Collateral Flow. Stroke, Vol. 30, pp.1432-1439, 1999.
  • [15] KWOLEK-KLIMKIEWICZ, J., CISZEK, B., ALEKSANDROWICZ, R., MAZUROWSKI, W., ZABEK, M., GORSKI, R., Microsurgical anatomy of the anterior communicating artery. Folia Morphologica, Vol. 55, pp.369-370, 1996.
  • [16] KLAPECKI J, PACHOLEC E, CISZEK B, Anatomy of the posterior communicating artery - preliminary report, Folia Morphologica, Vol. 55, pp.335-337, 1996.
  • [17] LELEN M., CISZEK B., ZABEK M., KRAJEWSKI P., CIESLICKI K., Anatomy of the pontine part of the cerebellar arteries and large basilar artery pontine branches, Medical Science Monitor, Vol. 4(supp. 2), pp.28-30, 1998.
  • [18] LIEBESKIND D.S., Collateral Circulation, Stroke, Vol. 34, pp.2279-2284, 2003.
  • [19] MICHALIK, R., CISZEK, B., ZABEK, M., MARCHEL, A., Anatomy of distal division of the basilar artery, Przegląd Lekarski, Vol. 33, pp.107-100, 1996, (in Polish).
  • [20] MICHALIK, R., CISZEK B., ZABEK M., MAZUROWSKI W., ALEKSANDROWICZ R., Microsurgical anatomy of the final division of the basilar artery, Folia Morphologica, Vol. 55, pp.363-395, 1996.
  • [21] PACHOLEC, E., CISZEK, B., Morphometry of the supraclinoid part of the internal carotid artery, Acta Clinica, Vol. 2, pp.96-101 2003, (in Polish).
  • [22] PIECHNIK, S., CIESLICKI, K., CIESLA, D., CZOSNYKA M., Problems n Application of Purely Linear Models in Cerebral Circulation, Journal of Biomechanics, Vol. 35, pp.553-554, 2002.
  • [23] SHIPKOWITZ T, RODGERS V. G. J., FRANZIN L. J., CHANDRAN K. B., Numerical study on the effect of steady axial flow development in the human aorta on local shear stresses in abdominal aortic branches, Journal of Biomechanics, Vol. 31, pp.995-1007, 1998.
  • [24] VAN DYKE M, Extended Stokes Series: Laminar Flow through a Loosely Coiled Pipe, Journal of Fluid Mechanics, Vol. 86, pp.29-145, 1978.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0013-0002
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