Porosity and diffusion in biological tissues. Recent advances and further perspectives

R Penta, L Miller, A Grillo, A Ramírez-Torres… - Constitutive modelling of …, 2020 - Springer
We present a review of porosity and diffusion in biological tissues from different
perspectives. We first introduce the topic by illustrating experimental evidence related to …

Understanding how porosity gradients can make a better filter using homogenization theory

MP Dalwadi, IM Griffiths… - Proceedings of the …, 2015 - royalsocietypublishing.org
Filters whose porosity decreases with depth are often more efficient at removing solute from
a fluid than filters with a uniform porosity. We investigate this phenomenon via an extension …

[HTML][HTML] Three scales asymptotic homogenization and its application to layered hierarchical hard tissues

A Ramírez-Torres, R Penta, R Rodríguez-Ramos… - International Journal of …, 2018 - Elsevier
In the present work a novel multiple scales asymptotic homogenization approach is
proposed to study the effective properties of hierarchical composites with periodic structure …

Effective governing equations for dual porosity Darcy–Brinkman systems subjected to inhomogeneous body forces and their application to the lymph node

A Girelli, G Giantesio, A Musesti… - Proceedings of the …, 2023 - royalsocietypublishing.org
We derive the homogenized governing equations for a double porosity system where the
fluid flow within the individual compartments is governed by the coupling between the Darcy …

[HTML][HTML] Optimal heat transport induced by magnetic nanoparticle delivery in vascularised tumours

T Al Sariri, RD Simitev, R Penta - Journal of Theoretical Biology, 2023 - Elsevier
We describe a novel mathematical model for blood flow, delivery of nanoparticles, and heat
transport in vascularised tumour tissue. The model, which is derived via the asymptotic …

Hybrid models for simulating blood flow in microvascular networks

E Vidotto, T Koch, T Köppl, R Helmig… - Multiscale Modeling & …, 2019 - SIAM
In this paper, we are concerned with the simulation of blood flow in microvascular networks
and the surrounding tissue. To reduce the computational complexity of this issue, the …

The asymptotic homogenization elasticity tensor properties for composites with material discontinuities

R Penta, A Gerisch - Continuum Mechanics and Thermodynamics, 2017 - Springer
The classical asymptotic homogenization approach for linear elastic composites with
discontinuous material properties is considered as a starting point. The sharp length scale …

Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study

R Penta, A Gerisch - Computing and Visualization in Science, 2015 - Springer
Asymptotic homogenization is employed assuming a sharp length scale separation between
the periodic structure (fine scale) and the whole composite (coarse scale). A classical …

The role of the microvascular tortuosity in tumor transport phenomena

R Penta, D Ambrosi - Journal of theoretical biology, 2015 - Elsevier
The role of the microvascular network geometry in transport phenomena in solid tumors and
its interplay with the leakage and pressure drop across the vessels is qualitatively and …

Effective equations governing an active poroelastic medium

J Collis, DL Brown, ME Hubbard… - Proceedings of the …, 2017 - royalsocietypublishing.org
In this work, we consider the spatial homogenization of a coupled transport and fluid–
structure interaction model, to the end of deriving a system of effective equations describing …