26 citations · 26 across the 2 of their papers we have counts for
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A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Direct numerical simulation of diffusion through heterogeneous media can be difficult due to the computational cost of resolving fine-scale heterogeneities. One method to overcome…
New homogenization approaches for stochastic transport through heterogeneous media
Elliot J. Carr, Matthew J. Simpson
The diffusion of molecules in complex intracellular environments can be strongly influenced by spatial heterogeneity and stochasticity. A key challenge when modelling such processe…
Rear-surface integral method for calculating thermal diffusivity from laser flash experiments
Elliot J. Carr
The laser flash method for measuring thermal diffusivity of solids involves subjecting the front face of a small sample to a heat pulse of radiant energy and recording the resultin…
Rapid calculation of maximum particle lifetime for diffusion in complex geometries
Elliot J Carr, Matthew J Simpson
Diffusion of molecules within biological cells and tissues is strongly influenced by crowding. A key quantity to characterize diffusion is the particle lifetime, which is the time…
Modelling mass diffusion for a multi-layer sphere immersed in a semi-infinite medium: application to drug delivery
Elliot J. Carr, Giuseppe Pontrelli
We present a general mechanistic model of mass diffusion for a composite sphere placed in a large ambient medium. The multi-layer problem is described by a system of diffusion equa…