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

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Article in Biomechanics and modeling in mechanobiology, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors.

Mohammad JannesariCenter for Neural Engineering, The Pennsylvania State University, University Park, PA, 16802, USA.ORCID http://orcid.org/0000-0003-3013-394X

Beatrice GhittiEngineering Science and Mechanics Department, The Pennsylvania State University, 212 EES Bldg., University Park, PA, 16802, USA.ORCID http://orcid.org/0000-0002-8769-2454

Bruce J GluckmanCenter for Neural Engineering, The Pennsylvania State University, University Park, PA, 16802, USA.ORCID http://orcid.org/0000-0001-7695-2225

Francesco CostanzoCenter for Neural Engineering, The Pennsylvania State University, University Park, PA, 16802, USA. fxc8@psu.edu.ORCID http://orcid.org/0000-0003-3169-9638

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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.

Indexed as

ElasticityFinite Element AnalysisGlymphatic SystemModels, BiologicalAnimalsBiomechanical PhenomenaBrainComputer SimulationHumansPorosityCerebrospinal fluid mechanicsFinite element methodPerivascular spacePoroelasticityZero porosity

Identifiers

PMID42234211

DOI10.1007/s10237-026-02070-w

PMCPMC13233892

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.