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Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms

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Mathematical Methods and Models in Biomedicine

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Abstract

Disease in human physiology is often related to cardiovascular mechanics. Impressively, strokes are one of the leading causes of death in developed countries, and they might occur as a result of an aneurysm rupture, which is a sudden event in the majority of cases. On the basis of several autopsy and angiography series, it is estimated that 0.4–6 % of the general population harbors one or more intracranial aneurysms, and on average the incidence of an aneurysmal rupture is of 10 per 100,000 population per year, with tendency to increase in patients with multiple aneurysms [14, 20].

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Acknowledgements

We greatly acknowledge Prof. Jorge Campos and his team from the Faculty of Medicine of the University of Lisbon, for providing us the in vivo rotational CTA scans of a specific patient. This work has been partially funded by FCT (Fundação para a Ciência e a Tecnologia, Portugal) through grants SFRH/BPD/34273/2006 and SFRH/BPD/44478/2008 and through the project UT Austin/CA/0047/2008.

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Authors and Affiliations

  1. Department of Mathematics and CEMAT, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais, 1, 1049-001, Lisboa, Portugal

    Susana Ramalho, Alexandra B. Moura, Alberto M. Gambaruto & Adélia Sequeira

Authors
  1. Susana Ramalho
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  2. Alexandra B. Moura
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  3. Alberto M. Gambaruto
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  4. Adélia Sequeira
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Corresponding author

Correspondence to Adélia Sequeira .

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Editors and Affiliations

  1. , Mathematics and Statistics, Southern Illinois University Edwardsvill, Edwardsville, 62026, Illinois, USA

    Urszula Ledzewicz

  2. , Electrical and Systems Engineering, Washington University, Brookings Drive 1, Saint Louis, 63130, Missouri, USA

    Heinz Schättler

  3. Mathematical Biosciences Institute, Ohio State University, W. 18th Avenue 231, Columbus, 43210-1292, Ohio, USA

    Avner Friedman

  4. Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel

    Eugene Kashdan

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Ramalho, S., Moura, A.B., Gambaruto, A.M., Sequeira, A. (2013). Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms. In: Ledzewicz, U., Schättler, H., Friedman, A., Kashdan, E. (eds) Mathematical Methods and Models in Biomedicine. Lecture Notes on Mathematical Modelling in the Life Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4178-6_6

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