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Mathematical Biosciences and Engineering (MBE)
 

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

Pages: 649 - 665, Volume 10, Issue 3, June 2013      doi:10.3934/mbe.2013.10.649

 
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Alberto Gambaruto - Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat and CEMAT, P-1049-001, Lisbon, Portugal (email)
João Janela - Univ Tecn Lisboa, ISEG, Dept Matemat and CEMAPRE, P-1200-781 Lisbon, Portugal (email)
Alexandra Moura - Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat and CEMAT, P-1049-001, Lisbon, Portugal (email)
Adélia Sequeira - Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat and CEMAT, P-1049-001, Lisbon, Portugal (email)

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.

Keywords:  Blood flow modeling, cerebral aneurysm, patient-specific geometry, non-Newtonian blood models.
Mathematics Subject Classification:  Primary: 58F15, 58F17; Secondary: 53C35.

Received: September 2012;      Accepted: September 2012;      Available Online: April 2013.

 References