Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space.
M, J., B, G., BJ, G., & F, C. (2026). Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space.. Biomechanics and modeling in mechanobiology. https://doi.org/10.1007/s10237-026-02070-w
M J, B G, BJ G, F C. Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space.. Biomechanics and modeling in mechanobiology. 2026; doi: 10.1007/s10237-026-02070-w
M J, B G, BJ G, et al. Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space.[J]. Biomechanics and modeling in mechanobiology. 2026. DOI: 10.1007/s10237-026-02070-w.
@article{m2026,
author = {Jannesari M and Ghitti B and Gluckman BJ and Costanzo F},
title = {Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space.},
journal = {Biomechanics and modeling in mechanobiology},
year = {2026},
doi = {10.1007/s10237-026-02070-w},
note = {PMID: 42234211},
}
TY - JOUR AU - Jannesari M AU - Ghitti B AU - Gluckman BJ AU - Costanzo F TI - Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space. T2 - Biomechanics and modeling in mechanobiology PY - 2026 DO - 10.1007/s10237-026-02070-w AN - PMID:42234211 ER -
In conventional formulations of poroelasticity, when the porosity approaches zero or vanishes in some parts of the poroelastic domain, if only temporarily, the governing equations degenerate to those for the solid phase thereby inhibiting a suitable determination of the fluid velocity field. To address this challenge, we reformulated a poroelastic model based on mixture theory to accommodate scenarios with zero porosity. We verified our model using the method of manufactured solutions and demonstrated its ability to handle extreme conditions in a sample test problem. As an application of our framework, we investigated peristaltic flow in the perivascular space of a penetrating arteriole in brain. Our analysis revealed that some literature-suggested parameters can drive the model to predict extreme non-physiological conditions. We further demonstrated that these extreme conditions can be somewhat mitigated by accounting for the deformation of the surrounding brain tissue.