Blood flow in the cerebral venous system: modeling and simulation

Abstract

The development of a software platform incorporating all aspects, from medical imaging data, through three-dimensional reconstruction and suitable meshing, up to simulation of blood flow in patient-specific geometries, is a crucial challenge in biomedical engineering. In the present study, a fully three-dimensional blood flow simulation is carried out through a complete rigid macrovascular circuit, namely the intracranial venous network, instead of a reduced order simulation and partial vascular network. The biomechanical modeling step is carefully analyzed and leads to the description of the flow governed by the dimensionless Navier–Stokes equations for an incompressible viscous fluid. The equations are then numerically solved with a free finite element software using five meshes of a realistic geometry obtained from medical images to prove the feasibility of the pipeline. Some features of the intracranial venous circuit in the supine position such as asymmetric behavior in merging regions are discussed.

Keywords:

• Intracranial venous flow; computational fluid dynamics; Navier–Stokes equations; 3D reconstruction

Notes

No potential conflict of interest was reported by the authors.

1 www.vivabrain.fr.

2 http://www.freefem.org.

3 http://www.vtk.org.

4 http://www.paraview.org.

Additional information

Funding

This work was supported by Agence Nationale de la Recherche [grant number ANR-12-MONU-0010].