Alexandra Vallet


Describing the coupling between cerebral vessels and the surrounding tissues necessitates complex multi-physics multi-scale modeling tools which we are developing and validating. The brain tissue is represented as a deformable poroelastic medium where the cells are the solid part and the interstitial fluid is the fluid part. The vascular network is represented as a network of 1D pipes.

Brain Pulse1D network model of blood flow in deformable vessels

Simulation of the pulsating flows in the brain. For now only the blood flow solver is implemented in the master branch.

PVS Flow

Code for the post-processing of line-scan measurements of vessels and astrocyte endfoot diameter oscillations and simulations of CSF flow and solute transport.

LectureSolute transport by diffusion

The purpose of this notebook is to learn how to solve the diffusion equation using the finite element computing tool FEniCS. Then we propose to apply this knowledge to interpret clinical data of transport and clearance of tracer in human brain.