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Computational Simulation of the Hemodynamic Behavior of a Blood Vessel Network

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High Performance Computing (CARLA 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 697))

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Abstract

During development, blood vessel networks adapt to gradual changes in the oxygen required by surrounding tissue, shear stress, and mechanical stretch. The possible adaptations include remodeling the vessel network and thickening the walls of blood vessels. However, the treatment of several vascular diseases including cerebral arteriovenous malformations, arteriosclerosis, aneurysms, and vascular retinal disorders, may lead to abrupt changes that could produce hemorrhage or other problems. Modeling the hemodynamic behavior of a blood vessel network may help assess or even diminish the risks associated with each treatment. In this work, we briefly describe the radiological studies available to study the anatomy and hemodynamics of a patient. We then describe the segmentation, smoothing, healing, skeletonyzation, and meshing processes that are needed to obtain an initial model for the numerical simulations. Additionally, we state some important concepts about blood rheology and blood vessel elasticity. Further, we include a system of equations to describe the interaction between flowing blood and the elastic blood vessels.

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Acknowledgements

This work was supported by ABACUS, CONACyT grant EDOMEX-2011-C01-165873. The numerical simulations for this work were performed in the Abacus I supercomputer.

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Authors and Affiliations

  1. ABACUS-Laboratorio de Matemática Aplicada y Cómputo de Alto Rendimiento, Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados CINVESTAV-IPN, Carretera México-Toluca Km 38.5, La Marquesa, 52740, Ocoyoacac, Estado de México, Mexico

    Nathan Weinstein, Alejandro Aviles, Isidoro Gitler & Jaime Klapp

  2. Departamento de Física, Instituto Nacional de Investigaciones Nucleares (ININ), Carretera México-Toluca S/N, La Marquesa, 52750, Ocoyoacac, Estado de México, Mexico

    Alejandro Aviles & Jaime Klapp

  3. Consejo Nacional de Ciencia y Tecnología, Av. Insurgentes Sur 1582, Ciudad de México, Mexico

    Alejandro Aviles

Authors
  1. Nathan Weinstein
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  2. Alejandro Aviles
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  3. Isidoro Gitler
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  4. Jaime Klapp
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Corresponding author

Correspondence to Jaime Klapp .

Editor information

Editors and Affiliations

  1. Universidad Industrial de Santander, Bucaramanga, Colombia

    Carlos Jaime Barrios Hernández

  2. Centro de Investigación y de Estudios Avanzados, CINVESTAV-IPN, Ciudad de México, Mexico

    Isidoro Gitler

  3. Instituto Nacional de Investigaciones Nucleares, La Marquesa, Estado de México, Mexico

    Jaime Klapp

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Weinstein, N., Aviles, A., Gitler, I., Klapp, J. (2017). Computational Simulation of the Hemodynamic Behavior of a Blood Vessel Network. In: Barrios Hernández, C., Gitler, I., Klapp, J. (eds) High Performance Computing. CARLA 2016. Communications in Computer and Information Science, vol 697. Springer, Cham. https://doi.org/10.1007/978-3-319-57972-6_21

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  • DOI: https://doi.org/10.1007/978-3-319-57972-6_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57971-9

  • Online ISBN: 978-3-319-57972-6

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