62 citations · 405 across the 26 of their papers we have counts for
9 papers · 1 filter
Simplified models of diffusion in radially-symmetric geometries
Luke P. Filippini, Matthew J. Simpson, Elliot J. Carr
We consider diffusion-controlled release of particles from -dimensional radially-symmetric geometries. A quantity commonly used to characterise such diffusive processes is the p…
Mean exit time in irregularly-shaped annular and composite disc domains
Elliot J. Carr, Daniel J. VandenHeuvel, Joshua M. Wilson +1
Calculating the mean exit time (MET) for models of diffusion is a classical problem in statistical physics, with various applications in biophysics, economics and heat and mass tra…
Approximate analytical solution for transient heat and mass transfer across an irregular interface
Elliot J. Carr, Dylan J. Oliver, Matthew J. Simpson
Motivated by practical applications in heat conduction and contaminant transport, we consider heat and mass diffusion across a perturbed interface separating two finite regions of…
Mean exit time for diffusion on irregular domains
Matthew J Simpson, Daniel J Vandenheuvel, Joshua M Wilson +2
Many problems in physics, biology, and economics depend upon the duration of time required for a diffusing particle to cross a boundary. As such, calculations of the distribution o…
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…
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…