Modification of a poroelastic model for zero porosity: finite element implementation and investigation of fluid mechanics in the perivascular space.
Overview
- Center for Neural Engineering, The Pennsylvania State University, University Park, PA 16802 USA
- Engineering Science and Mechanics Department, The Pennsylvania State University, 212 EES Bldg., University Park, PA 16802 USA
- Auckland Bioengineering Institute, The University of Auckland, 70 Symonds Street, Auckland, Auckland 1010 New Zealand
Abstract
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.
Reproduced under the paper's license (CC BY), from the paper cited above.
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Data
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Data Availability
The COMSOL Multiphysics files used to generate the results of this research have been deposited in the ScholarSphere Repository through the Pennsylvania State University and can be found under the title“Data: Refinement of a Poroelastic Model for Zero Porosity: Finite Element Implementation and Investigation of Fluid Mechanics in the Perivascular Space”, through the doi:10.26207/
Reproduced under the paper's license (CC BY), from the paper cited above.
Versions
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Version 2, 28 September 2026
- Publisher: n/a → Springer Science+Business Media
Version 1, 27 September 2026: the first record
Recorded: type, language, journal, volume, issue, pages, dates, 4 authors, 5 keywords, 10 MeSH terms, 1 funder, 41 references.
Cite
This paper
Jannesari, M., Ghitti, B., Gluckman, B. J., & Costanzo, F. (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, 25(3), 56. https://
BibTeX
@article{jannesari2026mo
author = {Jannesari, Mohammad and Ghitti, Beatrice and Gluckman, Bruce J and Costanzo, Francesco},
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},
month = jun,
volume = {25},
number = {3},
pages = {56},
publisher = {Springer Science+Business Media},
issn = {1617-7959},
doi = {10.1007/
url = {https://
pmid = {42234211},
pmcid = {PMC13233892}
}
RIS
TY - JOUR
AU - Jannesari, Mohammad
AU - Ghitti, Beatrice
AU - Gluckman, Bruce J
AU - Costanzo, Francesco
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
J2 - Biomech Model Mechanobiol
PY - 2026
DA - 2026/
VL - 25
IS - 3
SP - 56
SN - 1617-7959
PB - Springer Science+Business Media
DO - 10.1007/
UR - https://
LA - en
ER -
CSL-JSON
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"language": "en",
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