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- M. P. Neilson, John A. Mackenzie, Steven D. Webb, Robert H Insall
- SIAM J. Scientific Computing
- 2011

A computational framework is presented for the simulation of eukaryotic cell migration and chemotaxis. An empirical pattern formation model, based on a system of non-linear reaction-diffusionâ€¦ (More)

A moving mesh method is developed for the numerical solution of one-dimensional phase-change problems modelled by the phase-field equations. The computational mesh is obtained by equidistribution ofâ€¦ (More)

- John A. Mackenzie, Donald S. Jackson
- Respiration physiology
- 1978

Cutaneous and pulmonary CO2 loss were measured simultaneously in bullfrogs, Rana catesbeiana, at either 10, 20 or 30 degrees C. Arterial blood samples were taken in each experiment and analysed forâ€¦ (More)

- John M. Stockie, John A. Mackenzie, Robert D. Russell
- SIAM J. Scientific Computing
- 2001

- Paul Houston, John A. Mackenzie, Endre SÃ¼li, Gerald Warnecke
- Numerische Mathematik
- 1999

The global error of numerical approximations for symmetric positive systems in the sense of Friedrichs is decomposed into a locally created part and a propagating component. Residual-based two-sidedâ€¦ (More)

- M. P. Neilson, Douwe M Veltman, Peter J M van Haastert, Steven D. Webb, John A. Mackenzie, Robert H Insall
- PLoS biology
- 2011

The mechanism of eukaryotic chemotaxis remains unclear despite intensive study. The most frequently described mechanism acts through attractants causing actin polymerization, in turn leading toâ€¦ (More)

- G. MacDonald, John A. Mackenzie, M. Nolan, Robert H Insall
- J. Comput. Physics
- 2016

In this paper, we devise a moving mesh finite element method for the approximate solution of coupled bulk-surface reaction-diffusion equations on an evolving two dimensional domain. Fundamental toâ€¦ (More)

- John A. Mackenzie, M. Nolan, Robert H Insall
- Interface focus
- 2016

Chemoattractant gradients are usually considered in terms of sources and sinks that are independent of the chemotactic cell. However, recent interest has focused on 'self-generated' gradients, inâ€¦ (More)

The cell-vertex formulation of the finite volume method has been developed and widely used to model inviscid flows in aerodynamics: more recently, one of us has proposed an extension for viscousâ€¦ (More)

We examine the convergence properties of a nite diierence approximation of a singularly perturbed reaction-diiusion boundary value problem using a non-uniform adaptive grid. The grid is based on theâ€¦ (More)