26 citations · 26 across the 2 of their papers we have counts for
6 papers · 1 filter
Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media
Matthew J Simpson, Alexander P Browning, Christopher Drovandi +3
We compute profile likelihoods for a stochastic model of diffusive transport motivated by experimental observations of heat conduction in layered skin tissues. This process is mode…
Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media
Elliot J. Carr
Multispecies contaminant transport in the Earth's subsurface is commonly modelled using advection-dispersion equations coupled via first-order reactions. Analytical and semi-analyt…
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…