Finite element modeling of the circle of Willis from magnetic resonance data

Juan R. Cebral, Marcelo Castro, Orlando Soto, Rainald Löhner, Peter J. Yim, Noam Alperin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper presents a methodology to construct realistic patient-specific computational fluid dynamics models of the circle of Willis (CoW) using magnetic resonance angiography (MRA) data. Anatomical models are reconstructed from MRS images using tubular deformable models along each arterial segment and a surface-merging algorithm. The resulting models are smoothed and used to generate finite element (FE) grids. The incompressible Navier-Stokes equations are solved using a stabilized FE formulation. Physiologic flow conditions are derived from phase-contrast MR velocity measurements. The methodology was tested on image data of a normal volunteer. A pulsatile flow solution was obtained. Measured flow rates were prescribed in the internal carotid arteries, vertebral arteries, middle cerebral arteries and interior cerebral arteries. Pressure boundary conditions were imposed in the posterior cerebral arteries. Visualization of the complex flow patterns and wall shear stress distributions were produced. Potential applications of these FE models include: study the role of the communicating arteries during arterial occlusions and after endovascular interventions, calculate transport of drugs, evaluate accuracy of 1D flow models, and evaluate vascular bed models used to impose boundary conditions when flow data is unavailable or incomplete.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsA.V. Clough, A.A. Amini
Pages11-21
Number of pages11
Volume5031
DOIs
StatePublished - 2003
Externally publishedYes
EventMedical Imaging 2003: Physiology and Function: Methods, Systems, and Applications - San Diego, CA, United States
Duration: Feb 16 2003Feb 18 2003

Other

OtherMedical Imaging 2003: Physiology and Function: Methods, Systems, and Applications
CountryUnited States
CitySan Diego, CA
Period2/16/032/18/03

Fingerprint

Magnetic resonance
arteries
magnetic resonance
Boundary conditions
methodology
boundary conditions
Pulsatile flow
communicating
Angiography
angiography
occlusion
phase contrast
computational fluid dynamics
velocity measurement
Merging
dynamic models
Velocity measurement
Flow patterns
Navier-Stokes equation
Navier Stokes equations

Keywords

  • Cerebral hemodynamics
  • Circle of Willis
  • Computational fluid dynamics
  • Magnetic resonance angiography

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Cebral, J. R., Castro, M., Soto, O., Löhner, R., Yim, P. J., & Alperin, N. (2003). Finite element modeling of the circle of Willis from magnetic resonance data. In A. V. Clough, & A. A. Amini (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 5031, pp. 11-21) https://doi.org/10.1117/12.480317

Finite element modeling of the circle of Willis from magnetic resonance data. / Cebral, Juan R.; Castro, Marcelo; Soto, Orlando; Löhner, Rainald; Yim, Peter J.; Alperin, Noam.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / A.V. Clough; A.A. Amini. Vol. 5031 2003. p. 11-21.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Cebral, JR, Castro, M, Soto, O, Löhner, R, Yim, PJ & Alperin, N 2003, Finite element modeling of the circle of Willis from magnetic resonance data. in AV Clough & AA Amini (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 5031, pp. 11-21, Medical Imaging 2003: Physiology and Function: Methods, Systems, and Applications, San Diego, CA, United States, 2/16/03. https://doi.org/10.1117/12.480317
Cebral JR, Castro M, Soto O, Löhner R, Yim PJ, Alperin N. Finite element modeling of the circle of Willis from magnetic resonance data. In Clough AV, Amini AA, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 5031. 2003. p. 11-21 https://doi.org/10.1117/12.480317
Cebral, Juan R. ; Castro, Marcelo ; Soto, Orlando ; Löhner, Rainald ; Yim, Peter J. ; Alperin, Noam. / Finite element modeling of the circle of Willis from magnetic resonance data. Proceedings of SPIE - The International Society for Optical Engineering. editor / A.V. Clough ; A.A. Amini. Vol. 5031 2003. pp. 11-21
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