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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

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  • 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.


    [1] Journal of The Royal Society Interface, 7 (2010), 967-988.
    [2] Springer-Verlag, 1973.
    [3] Neurosurgery, 37 (1995), 774-784.
    [4] Oxford University Press, 1978.
    [5] IEEE Transactions on Medical Imaging, 24 (2005), 457-467.
    [6] AJNR Am. J. Neuroradiol, 32 (2011), 27-33.
    [7] AJNR Am. J. Neuroradiol, 32 (2011), 145-152.
    [8] Journal of Biomechanics, 41 (2008), 241-248.
    [9] Mathematical Biosciences and Engineering, 8 (2011), 409-423.
    [10] Int. J. Numer. Meth. Biomed. Engng., 26 (2010), 926-953.
    [11] Int. J. Numer. Meth. Fluids, 57 (2008), 495-517.
    [12] Journal of Neurosurgery, 103 (2005), 662-680.
    [13] American Journal of Neuroradiology, 22 (2001), 721-724.
    [14] in "Advances in Mathematical Fluid Mechanics", Springer, Berlin and Heidelberg, (2010), 295-310.
    [15] Annals of Biomedical Engineering, 36 (2008), 726-741.
    [16] Acta Neurochirurgica, 143 (2001), 429-449.
    [17] J. Biomech. Eng., 129 (2007), 273-278.
    [18] CRC Press, Boca Raton, FL, 1988.
    [19] Stroke, 38 (2007), 1924-1931.
    [20] Cardiovascular Engineering and Technology, 3 (2012), 22-40.
    [21] Math. Comput. Modelling, 25 (1997), 57-70.
    [22] International Journal for Numerical Methods in Biomedical Engineering, 28 (2012), 697-713.
    [23] in "Mathematical Methods and Models in Biomedicine" (Eds. U. Ledzewicz, H. Schättler, A. Friedman and E. Kashdan), Springer, (2013), 149-175.
    [24] Ann. Biomed. Eng., 36 (2008), 1793-1804.
    [25] in "Hemodynamical Flows", Modeling, Analysis and Simulation, Oberwolfach Seminars, 37 (2008), 63-120, Birkhäuser.
    [26] Stroke, 36 (2005), 193338.
    [27] American Journal of Neuroradiology, 24 (2003), 55966.
    [28] Journal of Neurosurgery, 106 (2007), 1051-1060.
    [29] Mech. Res. Commun., 25 (1998), 257-262.
    [30] Journal of Biomechanical Engineering, 132 (2010), 091009.

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