General solutions to poroviscoelastic model of hydrocephalic human brain tissue

DOI10.1016/j.jtbi.2011.09.011zbMath1397.92349OpenAlexW1964167485WikidataQ48880928 ScholiaQ48880928MaRDI QIDQ1786859

Amin Mehrabian, Younane N. Abousleiman

Publication date: 25 September 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2011.09.011

zbMATH Keywords

analytical solutioncorrespondence principlesubdural hematomaventriculostomy

Mathematics Subject Classification ID

Neural biology (92C20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Medical applications (general) (92C50) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Physiological flow (92C35)

Related Items (6)

Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability ⋮ Mathematical modeling of efficient protocols to control glioma growth ⋮ Modeling the porous and viscous responses of human brain tissue behavior ⋮ On a multivalued differential equation with nonlocality in time ⋮ Dual-porosity poroviscoelasticity and quantitative hydromechanical characterization of the brain tissue with experimental hydrocephalus data ⋮ Potential method in the coupled theory of viscoelasticity of porous materials

Cites Work

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• The pathogenesis of normal pressure hydrocephalus: a theoretical analysis
• Brain tissue deforms similarly to filled elastomers and follows consolidation theory
• Poroviscoelastic analysis of borehole and cylinder problems
• The hydromechanics of hydrocephalus: Steady-state solutions for cylindrical geometry
• A hydroelastic model of hydrocephalus

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