62 citations · 405 across the 26 of their papers we have counts for
28 papers
Modelling functionalized drug release for a spherical capsule
Elliot J. Carr, Giuseppe Pontrelli
Advances in material design has led to the rapid development of novel materials with increasing complexity and functions in bioengineering. In particular, functionally graded mater…
Generalised likelihood profiles for models with intractable likelihoods
David J. Warne, Oliver J. Maclaren, Elliot J. Carr +2
Likelihood profiling is an efficient and powerful frequentist approach for parameter estimation, uncertainty quantification and practical identifiablity analysis. Unfortunately, th…
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…
Analytical formulas for calculating the thermal diffusivity of cylindrical shell and spherical shell samples
Elliot J. Carr, Luke P. Filippini
Calculating the thermal diffusivity of solid materials is commonly carried out using the laser flash experiment. This classical experiment considers a small (usually thin disc-shap…
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…
Exponential and Weibull models for spherical and spherical-shell diffusion-controlled release systems with semi-absorbing boundaries
Elliot J. Carr
We consider the classical problem of particle diffusion in -dimensional radially-symmetric systems with absorbing boundaries. A key quantity to characterise such diffusive trans…