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Mathematical Biosciences and Engineering

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: 01 September 2012 Accepted: 29 June 2018 Published: 01 April 2013

  • MSC : Primary: 58F15, 58F17; Secondary: 53C35.

  • 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.

    Citation: Alberto Gambaruto, João Janela, Alexandra Moura, Adélia Sequeira. Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms[J]. Mathematical Biosciences and Engineering, 2013, 10(3): 649-665. doi: 10.3934/mbe.2013.10.649

    Related Papers:

  • 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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  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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