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Computational Modeling of Multiple Stenoses in Carotid and Vertebral Arteries

In: Trends in Biomathematics: Modeling, Optimization and Computational Problems

Author

Listed:
  • T. Gamilov

    (Institute of Numerical Mathematics RAS)

  • S. Simakov

    (Institute of Numerical Mathematics RAS)

  • P. Kopylov

    (I.M. Sechenov First Moscow State Medical University)

Abstract

A 1D model is used to simulate blood flow in major vessels of the upper body and head. The 1D part is stated in terms of viscous incompressible fluid flow in the network of elastic tubes. Two different types of junctions are considered: junctions between major vessels and junctions between arteries and venous pressure. Terminal arteries are connected to the venous pressure through hydraulic resistances. An iterative method is proposed to calculate blood flow velocities and pressures at terminal points. Geometry structure of arteries is obtained from patient-specific data. The reconstruction algorithm consists of vessel segmentation, thinning-based extraction of the set of centerlines, and graph reconstruction. Input data is 3D DICOM datasets, obtained with contrast-enhanced computed tomography angiography. A constructed model is used to study the influence of one or multiple carotid artery stenoses on the blood flow in the circle of Willis. Calculated blood flow velocities were compared to the measured posttreatment ones. The mean relative error was 6%, and the maximum relative error was 20%. The hemodynamic index is proposed based on blood flow velocity in stenosed and collateral arteries. A case of multiple stenoses in vertebral and carotid arteries is investigated. An effect of stenoses locations on cerebral blood flow for two configurations of the circle of Willis is studied.

Suggested Citation

  • T. Gamilov & S. Simakov & P. Kopylov, 2018. "Computational Modeling of Multiple Stenoses in Carotid and Vertebral Arteries," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems, pages 301-312, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-91092-5_20
    DOI: 10.1007/978-3-319-91092-5_20
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