Three dimensional modeling of the cerebrospinal fluid dynamics and brain interactions in the aqueduct of sylvius.

A computational fluid dynamics (CFD) method is presented to investigate the flow of cerebro-spinal fluid (CSF) in the cerebral aqueduct. In addition to former approaches exhibiting a rigid geometry, we propose a model which includes a deformable membrane as the wall of this flow channel. An anatomical shape of the aqueduct was computed from magnetic resonance images (MRI) and the resulting meshing was immersed in a marker-and-cell (MAC) staggered grid for to take into account fluid-structure interactions. The time derivatives were digitized using the Crank-Nicolson scheme. The equation of continuity was modified by introducing an artificial compressibility and digitized by a finite difference scheme. Calculations were validated with the simulation of laminar flow in a rigid tube. Then, comparisons were made between simulations of a rigid aqueduct and a deformable one. We found that the deformability of the walls has a strong influence on the pressure drop for a given flow.