Chemotaxis: a feedback-based computational model robustly predicts multiple aspects of real cell behaviour MP Neilson, DM Veltman, PJM van Haastert, SD Webb, JA Mackenzie, ... PLoS biology 9 (5), e1000618, 2011 | 196 | 2011 |

A moving mesh finite element method for the solution of two-dimensional Stefan problems G Beckett, JA Mackenzie, ML Robertson Journal of Computational Physics 168 (2), 500-518, 2001 | 169 | 2001 |

Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem G Beckett, JA Mackenzie Applied Numerical Mathematics 35 (2), 87-109, 2000 | 157 | 2000 |

A moving mesh method for one-dimensional hyperbolic conservation laws JM Stockie, JA Mackenzie, RD Russell SIAM Journal on Scientific Computing 22 (5), 1791-1813, 2001 | 140 | 2001 |

A posteriori error analysis for numerical approximations of Friedrichs systems P Houston, JA Mackenzie, E Süli, G Warnecke Numerische Mathematik 82 (3), 433-470, 1999 | 120 | 1999 |

Cell vertex algorithms for the compressible Navier-Stokes equations PI Crumpton, JA Mackenzie, KW Morton Journal of Computational Physics 109 (1), 1-15, 1993 | 117 | 1993 |

On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution G Beckett, JA Mackenzie, A Ramage, DM Sloan Journal of Computational Physics 167 (2), 372-392, 2001 | 111 | 2001 |

Modeling cell movement and chemotaxis using pseudopod-based feedback MP Neilson, JA Mackenzie, SD Webb, RH Insall SIAM Journal on Scientific Computing 33 (3), 1035-1057, 2011 | 109 | 2011 |

On a uniformly accurate finite difference approximation of a singularly perturbed reaction–diffusion problem using grid equidistribution G Beckett, JA Mackenzie Journal of computational and applied mathematics 131 (1-2), 381-405, 2001 | 100 | 2001 |

The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method JA Mackenzie, ML Robertson Journal of computational Physics 161 (2), 537-557, 2000 | 94 | 2000 |

A moving mesh method for the solution of the one-dimensional phase-field equations JA Mackenzie, ML Robertson Journal of Computational Physics 181 (2), 526-544, 2002 | 90 | 2002 |

HT Pentill a, D. Seweryniak, WB Walters RJ Irvine, CN Davids, PJ Woods, DJ Blumenthal, LT Brown, LF Conticchio, ... Phys. Rev. C 55, R1621, 1997 | 89 | 1997 |

Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid J Mackenzie IMA journal of numerical analysis 19 (2), 233-249, 1999 | 87 | 1999 |

Computational solution of two-dimensional unsteady PDEs using moving mesh methods G Beckett, JA Mackenzie, A Ramage, DM Sloan Journal of Computational Physics 182 (2), 478-495, 2002 | 67 | 2002 |

Finite volume solutions of convection-diffusion test problems JA Mackenzie, KW Morton mathematics of computation 60 (201), 189-220, 1993 | 66 | 1993 |

A coupled bulk-surface model for cell polarisation D Cusseddu, L Edelstein-Keshet, JA Mackenzie, S Portet, A Madzvamuse Journal of theoretical biology 481, 119-135, 2019 | 64 | 2019 |

A computational method for the coupled solution of reaction–diffusion equations on evolving domains and manifolds: Application to a model of cell migration and chemotaxis G MacDonald, JA Mackenzie, M Nolan, RH Insall Journal of computational physics 309, 207-226, 2016 | 60 | 2016 |

Finite element moving mesh analysis of phase change problems with natural convection RT Tenchev, JA Mackenzie, TJ Scanlon, MT Stickland CHT-04-Advances in Computational Heat Transfer III. Proceedings of the Third …, 2004 | 53 | 2004 |

An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh JA Mackenzie, WR Mekwi IMA journal of Numerical analysis 27 (3), 507-528, 2007 | 33 | 2007 |

An r-adaptive finite element method for the solution of the two-dimensional phase-field equations G Beckett, JA Mackenzie, ML Robertson Commun. Comput. Phys 1 (5), 805-826, 2006 | 33 | 2006 |