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Modeling the Blood Vessels of the Brain

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Book cover High Performance Computer Applications (ISUM 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 595))

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Abstract

The results described in this work are part of a larger project. The long term goal of this project is to help physicians predict the hemodynamic changes, and associated risks, caused by different treatment options for brain arteriovenous malformations. First, we need to build a model of the vascular architecture of each specific patient. Our approach to build these models is described in this work. Later we will use the model of the vascular architecture to simulate the velocity and pressure gradients of the blood flowing within the vessels, and the stresses on the blood vessel walls, before and after treatment. We are developing a computer program to describe each blood vessel as a parametric curve, where each point within this curve includes a normal vector that points in the opposite direction of the pressure gradient. The shape of the cross section of the vessel in each point is described as an ellipse. Our program is able to describe the geometry of a blood vessel using as an input a cloud of dots. The program allows us to model any blood vessel, and other tubular structures.

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Acknowledgement

We would like to thank Juan Carlos Cajas, Mariano Velazquez, Jazmin Aguado, Marina López, Alfonso Santiago and Abel Gargallo from the Barcelona Supercomputing Center for their valuable advice. This work was partially supported by ABACUS, CONACyT grant EDOMEX-2011-C01-165873.

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Authors and Affiliations

  1. Departamento de Matemáticas Centro de Investigación y de Estudios Avanzados (CINVESTAV-IPN), “ABACUS” Centro de Matemáticas Aplicadas y Cómputo de Alto Rendimiento, Carretera México-Toluca Km 38.5, La Marquesa, 52740, Ocoyoacac, Estado de México, Mexico

    Nathan Weinstein, Isidoro Gitler & Jaime Klapp

  2. Hospital Regional de Alta Especialidad de Ixtapaluca, Km. 34.5 Carretera Federal México-Puebla, Pueblo de Zoquiapan, 56530, Ixtapaluca, Mexico

    Karla Gisela Pedroza-Ríos

  3. Instituto Nacional de Neurología y Neurocirugía ‘Manuel Velasco Suárez’, Insurgentes Sur No. 3877, Tlalpan, La Fama, 14269, Mexico, D.F., Mexico

    Edgar Nathal

  4. Area de Física de Procesos Irreversibles Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco (UAM-A), Avenue San Pablo 180, 02200, Mexico, D.F., Mexico

    Leonardo Di G. Sigalotti

  5. Centro de Física, Instituto Venezolano de Investigaciones Científicas, IVIC, Apartado Postal 20632, Caracas, 1020-A, Venezuela

    Leonardo Di G. Sigalotti

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

    Jaime Klapp

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  1. Nathan Weinstein
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  2. Karla Gisela Pedroza-Ríos
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  3. Edgar Nathal
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  4. Leonardo Di G. Sigalotti
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  5. Isidoro Gitler
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  6. Jaime Klapp
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Correspondence to Jaime Klapp .

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Editors and Affiliations

  1. ABACUS Centro de Matemáticas Aplicadas, CINVESTAV-IPN, La Marquesa, Mexico

    Isidoro Gitler

  2. Instituto Nacional de Investigaciones Nu, La Marquesa, Mexico

    Jaime Klapp

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Weinstein, N., Pedroza-Ríos, K.G., Nathal, E., Sigalotti, L.D.G., Gitler, I., Klapp, J. (2016). Modeling the Blood Vessels of the Brain. In: Gitler, I., Klapp, J. (eds) High Performance Computer Applications. ISUM 2015. Communications in Computer and Information Science, vol 595. Springer, Cham. https://doi.org/10.1007/978-3-319-32243-8_38

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  • DOI: https://doi.org/10.1007/978-3-319-32243-8_38

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