Modelling the brain as a poroelastic medium

Modelling the brain as a poroelastic medium
related fields
Figure: (From left to right): Snapshots of (i) simulated displacement magnitude, homogenized pressure in (ii) the interstitial fluid and (iii) arterial blood at peak arterial inflow computed using the MPET equations subject to external pulsations, see [Lee, Jeonghun J., et al. (2019)].

Suggested reading

Suggested reading Biot, Maurice A. "General theory of three‐dimensional consolidation." Journal of applied physics 12.2 (1941): 155-164. Tully, B., and Yiannis Ventikos. "Cerebral water transport using multiple-network poroelastic theory: application to normal pressure hydrocephalus." Journal of Fluid Mechanics 667 (2011): 188. Lee, Jeonghun J., et al. "A mixed finite element method for nearly incompressible multiple-network poroelasticity." SIAM Journal on Scientific Computing 41.2 (2019): A722-A747.

Useful tools

Numerical solution of PDE method such as the finite element method and associated software, flexible meshing tools such as Gmsh, brain segmentation tools such as FreeSurfer.