Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space
Mohammad Jannesari, Beatrice Ghitti, Bruce J Gluckman, Francesco Costanzo · 2026
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Description
Mohammad Jannesari and colleagues published a 2026 applied mathematics study fixing a weakness in poroelasticity, the theory of fluid moving through a deformable porous solid. When porosity falls to zero somewhere, standard equations collapse and the fluid velocity can no longer be determined. The team recast a mixture-theory model so it still works in that limit, then verified it against made-up solutions.
As a test application, they simulated pulsing flow in the space around a small brain artery, a channel thought to help clear waste from the brain. Some parameter choices borrowed from the literature pushed the model toward extreme predictions no living body could match. Letting the surrounding brain tissue deform softened those extremes. The work matters for models of cerebrospinal fluid movement and brain clearance.
Catalog record
| CREATOR | Mohammad Jannesari, Beatrice Ghitti, Bruce J Gluckman, Francesco Costanzo |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 69 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |