26 citations · 26 across the 2 of their papers we have counts for
8 papers
Modelling drug delivery from multiple emulsions
G. Pontrelli, E. J. Carr, A. Tiribocchi +1
We present a mechanistic model of drug release from a multiple emulsion into an external surrounding fluid. We consider a single multi-layer droplet where the drug kinetics are des…
Diffusion in heterogeneous discs and spheres: new closed-form expressions for exit times and homogenization formulae
Elliot J. Carr, Jacob M. Ryan, Matthew J. Simpson
Mathematical models of diffusive transport underpin our understanding of chemical, biochemical and biological transport phenomena. Analysis of such models often focusses on relativ…
Finite transition times for multispecies diffusion in heterogeneous media coupled via first-order reaction networks
Elliot J. Carr, Jonah J. Klowss
Calculating how long a coupled multi-species reactive-diffusive transport process in a heterogeneous medium takes to effectively reach steady state is important in many application…
New semi-analytical solutions for advection-dispersion equations in multilayer porous media
Elliot J. Carr
A new semi-analytical solution to the advection-dispersion-reaction equation for modelling solute transport in layered porous media is derived using the Laplace transform. Our solu…
Advection improves homogenized models of continuum diffusion in one-dimensional heterogeneous media
Elliot J. Carr
We propose an alternative method for one-dimensional continuum diffusion models with spatially variable (heterogeneous) diffusivity. Our method, which extends recent work on stocha…
Rear-surface integral method for calculating thermal diffusivity: finite pulse time correction and two-layer samples
Elliot J. Carr, Christyn J. Wood
We study methods for calculating the thermal diffusivity of solids from laser flash experiments. This experiment involves subjecting the front surface of a small sample of the mate…