Ocular blood flow as a clinical observation: Value, limitations and data analysis

A Harris, G Guidoboni, B Siesky, S Mathew… - Progress in retinal and …, 2020 - Elsevier
Alterations in ocular blood flow have been identified as important risk factors for the onset
and progression of numerous diseases of the eye. In particular, several population-based …

Neurodegenerative disorders of the eye and of the brain: a perspective on their fluid-dynamical connections and the potential of mechanism-driven modeling

G Guidoboni, R Sacco, M Szopos, L Sala… - Frontiers in …, 2020 - frontiersin.org
Neurodegenerative disorders (NDD) such as Alzheimer's and Parkinson's diseases are
significant causes of morbidity and mortality worldwide. The pathophysiology of NDD is still …

Multilayered poroelasticity interacting with Stokes flow

L Bociu, S Canic, B Muha, JT Webster - Siam journal on mathematical analysis, 2021 - SIAM
We consider the interaction between an incompressible, viscous fluid modeled by the
dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin …

Nonlinear quasi-static poroelasticity

L Bociu, JT Webster - Journal of Differential Equations, 2021 - Elsevier
We analyze a quasi-static Biot system of poroelasticity for both compressible and
incompressible constituents. The main feature of this model is a nonlinear coupling of …

[HTML][HTML] Existence of weak solutions to a Cahn–Hilliard–Biot system

H Abels, H Garcke, J Haselböck - Nonlinear Analysis: Real World …, 2025 - Elsevier
We prove existence of weak solutions to a diffuse interface model describing the flow of a
fluid through a deformable porous medium consisting of two phases. The system non …

Non-local continuum damage model for poro-viscoelastic porous media

Y Chen, ME Mobasher, T You, H Waisman - International Journal of Rock …, 2022 - Elsevier
We present a novel poro-damage-viscoelastic model for predicting the failure response of
fluid-saturated porous geomaterials. The Generalized Maxwell model is introduced for the …

Weak and strong solutions for a fluid‐poroelastic‐structure interaction via a semigroup approach

G Avalos, E Gurvich, JT Webster - Mathematical Methods in the …, 2024 - Wiley Online Library
A filtration system comprising a Biot poroelastic solid coupled to an incompressible Stokes
free‐flow is considered in 3D. Across the flat 2D interface, the Beavers‐Joseph‐Saffman …

Weak solutions in nonlinear poroelasticity with incompressible constituents

L Bociu, B Muha, JT Webster - Nonlinear analysis: real world applications, 2022 - Elsevier
We consider quasi-static nonlinear poroelastic systems with applications in biomechanics
and, in particular, tissue perfusion. The nonlinear permeability is taken to be dependent on …

[書籍][B] A comprehensive physically based approach to modeling in bioengineering and life sciences

R Sacco, G Guidoboni, AG Mauri - 2019 - books.google.com
A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life
Sciences provides a systematic methodology to the formulation of problems in biomedical …

The gradient flow structures of thermo-poro-visco-elastic processes in porous media

JW Both, K Kumar, JM Nordbotten, FA Radu - arxiv preprint arxiv …, 2019 - arxiv.org
In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in
porous media are examined for the first time. In the first part, a modelling framework is …