4 papers
Random walk models of anisotropic diffusion on rectangular and hexagonal lattices
Luke P. Filippini, Adrianne L. Jenner, Elliot J. Carr
The diffusive transport of particles in anisotropic media is a fundamental phenomenon in computational, medical and biological disciplines. While deterministic models (partial diff…
Functionally-graded drug delivery systems with binding reactions: analytical and stochastic approaches for the fraction of drug released
Obi A. Carwood, Elliot J. Carr
Mathematical modelling and computer simulation are increasingly being used alongside experiments to help optimise and guide the design of drug delivery systems. Recent drug deliver…
Modelling and analysis of laser flash experiments using the Cattaneo heat equation
Elliot J. Carr
Thermal diffusivity of solid materials is commonly measured using laser flash analysis. This technique involves applying a heat pulse to the front surface of a small sample of the…
Stochastic models of advection-diffusion in layered media
Elliot J. Carr
Mathematically modelling diffusive and advective transport of particles in heterogeneous layered media is important to many applications in computational, biological and medical ph…