68 citations · 68 across the 3 of their papers we have counts for
4 papers
A Conservative Finite Element ALE Scheme for Mass-Conserving Reaction-Diffusion Equations on Evolving Two-Dimensional Domains
John A. Mackenzie, Christopher F. Rowlatt, Robert H. Insall
Mass-conservative reaction-diffusion systems have recently been proposed as a general framework to describe intracellular pattern formation. These systems have been used to model t…
A Moving Mesh Method for Modelling Defects in Nematic Liquid Crystals
Craig S. MacDonald, John A. Mackenzie, Alison Ramage
The properties of liquid crystals can be modelled using an order parameter which describes the variability of the local orientation of rod-like molecules. Defects in the director f…
An -Adaptive Method for the Cubic Nonlinear Schrödinger Equation
J. A. Mackenzie, W. R. Mekwi
The nonlinear Schrödinger equation (NLSE) is one of the most important equations in quantum mechanics, and appears in a wide range of applications including optical fibre communica…
A coupled bulk-surface model for cell polarisation
Davide Cusseddu, Leah Edelstein-Keshet, John A. Mackenzie +2
Several cellular activities, such as directed cell migration, are coordinated by an intricate network of biochemical reactions which lead to a polarised state of the cell, in which…