Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology
Newtonian and generalized Newtonian mathematical models for blood flow are compared in two different reconstructions of an anatomicallyrealistic geometry of a saccular aneurysm, obtained from rotational CTA and differing to within image resolution.The sensitivity of the flow field is sought with res...
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AIMS Press
2011-03-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.409 |
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author | Alberto M. Gambaruto João Janela Alexandra Moura Adélia Sequeira |
author_facet | Alberto M. Gambaruto João Janela Alexandra Moura Adélia Sequeira |
author_sort | Alberto M. Gambaruto |
collection | DOAJ |
description | Newtonian and generalized Newtonian mathematical models for blood flow are compared in two different reconstructions of an anatomicallyrealistic geometry of a saccular aneurysm, obtained from rotational CTA and differing to within image resolution.The sensitivity of the flow field is sought with respect to geometry reconstruction procedure and mathematical model choice in numerical simulations. Taking as example a patient specific intracranial aneurysm located on an outer bend under steady state simulations, it is found that the sensitivity togeometry variability is greater, but comparable, to the one of the rheological model.These sensitivities are not quantifiable a priori.The flow field exhibits a wide range of shear stresses and slow recirculation regions that emphasize the need for careful choice of constitutive models for the blood. On the other hand, the complex geometrical shape of the vessels is found to be sensitive to small scale perturbations within medical imaging resolution. The sensitivity to mathematical modeling and geometry definition are important when performing numerical simulations from in vivo data, and should be taken into account when discussing patient specific studies since differences in wall shear stress range from 3% to 18%. |
format | Article |
id | doaj-art-13e44283a7784a35bc26cfb26becc144 |
institution | Kabale University |
issn | 1551-0018 |
language | English |
publishDate | 2011-03-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj-art-13e44283a7784a35bc26cfb26becc1442025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018240942310.3934/mbe.2011.8.409Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheologyAlberto M. Gambaruto0João Janela1Alexandra Moura2Adélia Sequeira3Dept. of Mathematics and CEMAT/IST, Av Rovisco Pais 1, 1049-001 LisboaDept. of Mathematics and CEMAT/IST, Av Rovisco Pais 1, 1049-001 LisboaDept. of Mathematics and CEMAT/IST, Av Rovisco Pais 1, 1049-001 LisboaDept. of Mathematics and CEMAT/IST, Av Rovisco Pais 1, 1049-001 LisboaNewtonian and generalized Newtonian mathematical models for blood flow are compared in two different reconstructions of an anatomicallyrealistic geometry of a saccular aneurysm, obtained from rotational CTA and differing to within image resolution.The sensitivity of the flow field is sought with respect to geometry reconstruction procedure and mathematical model choice in numerical simulations. Taking as example a patient specific intracranial aneurysm located on an outer bend under steady state simulations, it is found that the sensitivity togeometry variability is greater, but comparable, to the one of the rheological model.These sensitivities are not quantifiable a priori.The flow field exhibits a wide range of shear stresses and slow recirculation regions that emphasize the need for careful choice of constitutive models for the blood. On the other hand, the complex geometrical shape of the vessels is found to be sensitive to small scale perturbations within medical imaging resolution. The sensitivity to mathematical modeling and geometry definition are important when performing numerical simulations from in vivo data, and should be taken into account when discussing patient specific studies since differences in wall shear stress range from 3% to 18%.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.409non-newtonian fluids.medical image reconstructionblood flow modeling |
spellingShingle | Alberto M. Gambaruto João Janela Alexandra Moura Adélia Sequeira Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology Mathematical Biosciences and Engineering non-newtonian fluids. medical image reconstruction blood flow modeling |
title | Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology |
title_full | Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology |
title_fullStr | Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology |
title_full_unstemmed | Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology |
title_short | Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology |
title_sort | sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology |
topic | non-newtonian fluids. medical image reconstruction blood flow modeling |
url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.409 |
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