A three species model to simulate application of hyperbaric oxygen therapy to chronic wounds (2009)
McElwain, Sean, Flegg, Jennifer, Byrne, Helen M., Turner, Ian W.
Chronic wounds are a significant socioeconomic problem for governments worldwide. Approximately 15% of people who suffer from diabetes will experience a lower-limb ulcer at some stage of their lives,...
Computational approaches to solving equations arising from wound healing (2009)
McElwain, Sean, Thackham, Jennifer A., Turner, Ian W.
In the wound healing process, the cell movement associated with chemotaxis generally outweighs the movement associated with random motion, leading to advection-dominated mathematical models of wound...
Computational approaches to solving equations arising from wound healing (2009)
McElwain, Sean, Thackham, Jennifer A., Turner, Ian W.
In the wound healing process, the cell movement associated with chemotaxis generally outweighs the movement associated with random motion, leading to advection-dominated mathematical models of wound...
A three species model to simulate application of hyperbaric oxygen therapy to chronic wounds (2009)
McElwain, Sean, Flegg, Jennifer, Byrne, Helen M., Turner, Ian W.
Chronic wounds are a significant socioeconomic problem for governments worldwide. Approximately 15% of people who suffer from diabetes will experience a lower-limb ulcer at some stage of their lives,...
Simpson, Daniel P., Turner, Ian W., Ilic, Milos
n this paper we present a theoretical basis for the Matrix Transfer Technique for approximating solutions to fractional-in-space partial differential equations. Furthermore, we extend the method to...
Computational approaches to solving equations arising from wound healing (2009)
McElwain, Sean, Thackham, Jennifer A., Turner, Ian W.
In the wound healing process, the cell movement associated with chemotaxis generally outweighs the movement associated with random motion, leading to advection-dominated mathematical models of wound...
Fast Bayesian analysis of spatial dynamic factor models for large space time data sets (2009)
Strickland, Christopher Mark, Simpson, Daniel P., Turner, Ian W., Denham, Robert, Mengersen, Kerrie L.
Remoting sensing is one example where data sets that vary across space and time have become so large that `standard' approaches employed by statistical modellers for applied analysis are no longer...
A three species model to simulate application of hyperbaric oxygen therapy to chronic wounds (2009)
McElwain, Sean, Flegg, Jennifer, Byrne, Helen M., Turner, Ian W.
Chronic wounds are a significant socioeconomic problem for governments worldwide. Approximately 15% of people who suffer from diabetes will experience a lower-limb ulcer at some stage of their lives,...
Efficient Bayesian Estimation of Multivariate State Space Models (2008)
Strickland, Christopher M., Turner, Ian W., Denham, Robert, Mengersen, Kerrie L.
A Bayesian Markov chain Monte Carlo methodology is developed for the estimation of multivariate linear Gaussian state space models. In particular, an efficient simulation smoothing algorithm is...
Fast sampling from a Gaussian Markov random field using Krylov subspace approaches (2008)
Simpson, Daniel P., Turner, Ian W., Pettitt, Anthony N.
Many applications in spatial statistics, geostatistics and image analysis require efficient techniques for sampling from large Gaussian Markov random fields (GMRFs). A suite of methods, based on the...
Fast Bayesian analysis of spatial dynamic factor models (2008)
Strickland, Christopher M., Simpson, Daniel P., Turner, Ian W., Denham, Robert, Mengersen, Kerrie L.
A Bayesian Markov chain Monte Carlo (MCMC) algorithm is proposed for the efficient estimation of spatial dynamic factor models (DFMs). The spatial DFM is specified whereby spatial dependence is...
Moroney, Timothy J., Turner, Ian W.
We investigate the effectiveness of a finite volume method incorporating radial basis functions for simulating nonlinear diffusion processes. Past work conducted in two dimensions is extended to...
A Restarted Lanczos Approximation to Functions of a Symmetric Matrix (2007)
Turner, Ian W., Ilic, Milos, Simpson, Daniel P.
In this paper, we investigate a method for restarting the Lanczos method for approximating the matrix-vector product $f(A)b$, where $A in mathbb{R}^{n imes n }$ is a symmetric matrix. For analytic...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
A Hybrid Clough-Tocher Radial Basis Function Method for Modelling Leaf Surfaces (2007)
Oqielat, Moa'Ath, Belward, John A., Turner, Ian W., Loch, B. I.
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A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
A dual-scale model for describing drier and porous medium interactions (2006)
Perre, Patrick, Turner, Ian W.
A dual-scale modeling approach is proposed to describe the coupling of the drier (large-scale) and the porous medium (macroscale) throughout drying. This model is used to investigate the vacuum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Drying of a liquid droplet suspended in a binary atmosphere (2006)
Oberman, Glen J., Farrell, Troy W., Turner, Ian W., Sizgek, Erden
In this work, we consider the spray drying of colloidal solutions, as applied to the case of the generation of synroc precursor powders. In this paper, a model of this process is formulated by...
A modified finite volume method incorporating radial basis functions for simulating diffusion (2005)
Moroney, Timothy J., Turner, Ian W.
The finite volume method is the favoured numerical technique for solving (possibly coupled, nonlinear, anisotropic) diffusion equations. The method transforms differential equations into a system of...
Moroney, Timothy J., Turner, Ian W.
The finite volume method is the favoured numerical technique for solving (possibly coupled, nonlinear, anisotropic) diffusion equations. The method transforms the original problem into a system of...
Krylov subspaces and the analytic grade (2005)
Typical behaviour of the solution of a linear system of equations obtained iteratively by Krylov methods can be characterized by three stages. Initially the residual diminishes steadily; this is...
Application of the control volume method to a mathematical model of cell migration (2004)
Mallet, Daniel G., Turner, Ian W., Pettet, Graeme J.
In recent years, mathematical models of cell migration have become increasingly complex. These models have evolved from simple diffusion models to computationally troublesome...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
A second order finite volume technique for simulating transport in anisotropic media (2003)
Pasdunkorale, Jayantha, Turner, Ian W.
An existing two-dimensional finite volume technique is modified by introducing a correction term to increase the accuracy of the method to second order. It is well known that the accuracy of the...
Perre, Patrick, Turner, Ian W.
In this work, a comprehensive two-dimensional drying model, known as TransPore, is extended so that the effect of material heterogeneity and local material directions on the heat and mass transport...
Perre, Patrick, Turner, Ian W.
In this work, the extensive knowledge of wood gained at the Ecole Nationale du Genie Rural des Eaux et Forets by using a combination of microscopic observation and experimental work is being used to...
Perre, Patrick, Turner, Ian W.
In this work, the extensive knowledge of wood gained at the Ecole Nationale du Genie Rural des Eaux et Forets by using a combination of microscopic observation and experimental work is being used to...
Numerical Modelling and Optimisation of a Microwave Enhanced Rapid Prototyping (2001)
Zhao, Hauwei, Turner, Ian W., Yarlagadda, Prasad K., Berg, Klaus
Microwave heating technology is a cost-effective alternative way for assisting the thermosetting process of thin epoxy resin layers of material. With the benefit of existing modelling for computing...
Efficient Bayesian estimation of multivariate state space models
Strickland, Chris M., Turner, Ian. W., Denham, Robert, Mengersen, Kerrie L.
A Bayesian Markov chain Monte Carlo methodology is developed for the estimation of multivariate linear Gaussian state space models. In particular, an efficient simulation smoothing algorithm is...