Porosity and diffusion in biological tissues. Recent advances and further perspectives
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 …
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 …
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
In the present work a novel multiple scales asymptotic homogenization approach is
proposed to study the effective properties of hierarchical composites with periodic structure …
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
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 …
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
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 …
transport in vascularised tumour tissue. The model, which is derived via the asymptotic …
Hybrid models for simulating blood flow in microvascular networks
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 …
and the surrounding tissue. To reduce the computational complexity of this issue, the …
The asymptotic homogenization elasticity tensor properties for composites with material discontinuities
The classical asymptotic homogenization approach for linear elastic composites with
discontinuous material properties is considered as a starting point. The sharp length scale …
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
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 periodic structure (fine scale) and the whole composite (coarse scale). A classical …
The role of the microvascular tortuosity in tumor transport phenomena
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 …
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 …
structure interaction model, to the end of deriving a system of effective equations describing …