Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology

1. Dept. of Mathematics and CEMAT/IST, Av Rovisco Pais 1, 1049-001 Lisboa
2. Dept. of Mathematics ISEG, UTL and CEMAT/IST, Rua do Quelhas 6, 1200-781 Lisboa
3. Department of Mathematics and CEMAT/IST, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001 Lisboa

Newtonian and generalized Newtonian mathematical models for blood flow are compared in two different reconstructions of an anatomically realistic 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 to geometry 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%.
  Article Metrics

Keywords non-Newtonian fluids.; medical image reconstruction; Blood flow modeling

Citation: 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, 2011, 8(2): 409-423. doi: 10.3934/mbe.2011.8.409


This article has been cited by

  • 1. Julia Mikhal, Bernard J. Geurts, Development and application of a volume penalization immersed boundary method for the computation of blood flow and shear stresses in cerebral vessels and aneurysms, Journal of Mathematical Biology, 2013, 67, 6-7, 1847, 10.1007/s00285-012-0627-5
  • 2. Øyvind Evju, Kristian Valen-Sendstad, Kent-André Mardal, A study of wall shear stress in 12 aneurysms with respect to different viscosity models and flow conditions, Journal of Biomechanics, 2013, 46, 16, 2802, 10.1016/j.jbiomech.2013.09.004
  • 3. Telma Guerra, Jorge Tiago, Adélia Sequeira, Optimal control in blood flow simulations, International Journal of Non-Linear Mechanics, 2014, 64, 57, 10.1016/j.ijnonlinmec.2014.04.005
  • 4. Jorge Tiago, Numerical simulations for the stabilization and estimation problem of a semilinear partial differential equation, Applied Numerical Mathematics, 2015, 98, 18, 10.1016/j.apnum.2015.08.003
  • 5. Julia Mikhal, Bernard J. Geurts, Immersed boundary method for pulsatile transitional flow in realistic cerebral aneurysms, Computers & Fluids, 2014, 91, 144, 10.1016/j.compfluid.2013.12.009
  • 6. J. Pavlova, A. Fasano, J. Janela, A. Sequeira, Numerical validation of a synthetic cell-based model of blood coagulation, Journal of Theoretical Biology, 2015, 380, 367, 10.1016/j.jtbi.2015.06.004
  • 7. S. V. Sindeev, S. V. Frolov, Modeling the hemodynamics of the cardiovascular system with cerebral aneurysm, Mathematical Models and Computer Simulations, 2017, 9, 1, 108, 10.1134/S2070048217010148
  • 8. Hernán G. Morales, Odile Bonnefous, Unraveling the relationship between arterial flow and intra-aneurysmal hemodynamics, Journal of Biomechanics, 2015, 48, 4, 585, 10.1016/j.jbiomech.2015.01.016
  • 9. J. Tiago, T. Guerra, A. Sequeira, A velocity tracking approach for the data assimilation problem in blood flow simulations, International Journal for Numerical Methods in Biomedical Engineering, 2017, 33, 10, e2856, 10.1002/cnm.2856
  • 10. A.M. Robertson, P.N. Watton, Computational Fluid Dynamics in Aneurysm Research: Critical Reflections, Future Directions, American Journal of Neuroradiology, 2012, 33, 6, 992, 10.3174/ajnr.A3192
  • 11. Olivia Miraucourt, Stéphanie Salmon, Marcela Szopos, Marc Thiriet, Blood flow in the cerebral venous system: modeling and simulation, Computer Methods in Biomechanics and Biomedical Engineering, 2017, 20, 5, 471, 10.1080/10255842.2016.1247833
  • 12. Adélia Sequeira, Jorge Tiago, Telma Guerra, , Trends in Biomathematics: Modeling, Optimization and Computational Problems, 2018, Chapter 3, 27, 10.1007/978-3-319-91092-5_3
  • 13. O. Kafi, A. Sequeira, , Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, 2019, Chapter 17, 255, 10.1007/978-3-030-23433-1_17
  • 14. N. El Khatib, O. Kafi, A. Sequeira, S. Simakov, Yu. Vassilevski, V. Volpert, Vitaly Volpert, Mathematical modelling of atherosclerosis, Mathematical Modelling of Natural Phenomena, 2019, 14, 6, 603, 10.1051/mmnp/2019050

Reader Comments

your name: *   your email: *  

Copyright Info: 2011, , licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved