Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms

Alberto Gambaruto; João Janela; Alexandra Moura; Adélia Sequeira

doi:10.3934/mbe.2013.10.649

Article Contents

2013, Volume 10, Issue 3: 649-665. Doi: 10.3934/mbe.2013.10.649

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Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms

1.
Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat and CEMAT, P-1049-001, Lisbon
2.
Univ Tecn Lisboa, ISEG, Dept Matemat and CEMAPRE, P-1200-781 Lisbon

Received: August 31, 2012

Revised: August 31, 2012

Published: March 2013

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Abstract

Two different generalized Newtonian mathematical models for blood flow, derived for the same experimental data, are compared, together with the Newtonian model, in three different anatomically realistic geometries of saccular cerebral aneurysms obtained from rotational CTA. The geometries differ in size of the aneurysm and the existence or not of side branches within the aneurysm. Results show that the differences between the two generalized Newtonian mathematical models are smaller than the differences between these and the Newtonian solution, in both steady and unsteady simulations.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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