John MacKenzie

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Phone01415483668
Emailj.a.mackenziestrath.acuk

United Kingdom

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Computational modelling of cell migration and chemotaxis<br/>

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29 Article
2 Paper
1 Book
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- 1 Other chapter contribution
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2021
A conservative finite element ALE scheme for mass-conservative reaction-diffusion equations on evolving two-dimensional domains
MacKenzie, J., Rowlatt, C. & Insall, R., 19 Jan 2021, In: SIAM Journal on Scientific Computing. 43, 1, p. B132-B166 35 p.
Research output: Contribution to journal › Article › peer-review

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4 Citations (Scopus)

12 Downloads (Pure)
2020
A moving mesh method for modelling defects in nematic liquid crystals
MacDonald, C. S., MacKenzie, J. A. & Ramage, A., 30 Sept 2020, In: Journal of Computational Physics: X. 8, 18 p., 100065.
Research output: Contribution to journal › Article › peer-review

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4 Citations (Scopus)

22 Downloads (Pure)
An hr-adaptive method for the cubic nonlinear Schrödinger equation
MacKenzie, J. A. & Mekwi, W. R., 15 Jan 2020, In: Journal of Computational and Applied Mathematics. 364, 20 p., 112320.
Research output: Contribution to journal › Article › peer-review

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5 Citations (Scopus)

13 Downloads (Pure)
2019
A coupled bulk-surface model for cell polarisation
Cusseddu, D., Edelstein-Keshet, L., MacKenzie, J. A., Portet, S. & Madzvamuse, A., 21 Nov 2019, In: Journal of Theoretical Biology. 481, p. 119-135 17 p.
Research output: Contribution to journal › Article › peer-review

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36 Citations (Scopus)

21 Downloads (Pure)
Optimal estimation of drift and diffusion coefficients in the presence of static localization error
Devlin, J., Husmeier, D. & MacKenzie, J. A., 23 Aug 2019, In: Physical Review E. 100, 2, 14 p., 022134.
Research output: Contribution to journal › Article › peer-review

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2 Citations (Scopus)

20 Downloads (Pure)
An adaptive moving mesh method for forced curve shortening flow
Mackenzie, J. A., Nolan, M., Rowlatt, C. F. & Insall, R. H., 18 Apr 2019, In: SIAM Journal on Scientific Computing. 41, 2, p. A1170–A1200 31 p.
Research output: Contribution to journal › Article › peer-review

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9 Citations (Scopus)

26 Downloads (Pure)
2016
Local modulation of chemoattractant concentrations by single cells: dissection using a bulk-surface computational model
Mackenzie, J. A., Nolan, M. & Insall, R. H., 19 Aug 2016, In: Interface Focus. 6, 10 p., 20160036.
Research output: Contribution to journal › Article › peer-review

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11 Citations (Scopus)

97 Downloads (Pure)
Kinetics of reduction of a Resazurin-based photocatalytic activity ink
MacKenzie, J., MacDonald, G., Mills, A. & Wells, N., 3 Jun 2016, (Accepted/In press) In: Catalysis Today.
Research output: Contribution to journal › Article › peer-review

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120 Downloads (Pure)
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
MacDonald, G., MacKenzie, J. A., Nolan, M. & Insall, R. H., 16 Mar 2016, In: Journal of Computational Physics. 309, p. 207–226 28 p.
Research output: Contribution to journal › Article › peer-review

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36 Citations (Scopus)

82 Downloads (Pure)
2015
Efficient moving mesh methods for Q-tensor models of nematic liquid crystals
MacDonald, C. S., MacKenzie, J. A., Ramage, A. & Newton, C. J. P., 11 Mar 2015, In: SIAM Journal on Scientific Computing. 37, 2, p. B215-B238 24 p.
Research output: Contribution to journal › Article › peer-review

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10 Citations (Scopus)

145 Downloads (Pure)
2012
Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals
MacDonald, C., MacKenzie, J., Ramage, A. & Newton, C., Dec 2012, In: Computers and Mathematics with Applications. 64, 11, p. 3627-3640 14 p.
Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus)
An unconditionally stable second-order accurate ALE–FEM scheme for two-dimensional convection–diffusion problems
Mackenzie, J. & Mekwi, W. R., 2012, In: IMA Journal of Numerical Analysis. 32, 3, p. 888-905 18 p.
Research output: Contribution to journal › Article › peer-review
21 Citations (Scopus)
2011
Chemotaxis: a feedback-based computational model robustly predicts multiple aspects of real cell behaviour
Neilson, M. P., Veltmahn, D. M., van Haastert, P. J. M., Webb, S., Mackenzie, J. A. & Insall, R. H., 17 May 2011, In: PLOS Biology. 9, 5, 11 p., e1000618.
Research output: Contribution to journal › Article › peer-review

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124 Citations (Scopus)

170 Downloads (Pure)
Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain
Mackenzie, J. A. & Madzvamuse, A., 2011, In: IMA Journal of Numerical Analysis. 31, 1, p. 212-232 21 p.
Research output: Contribution to journal › Article › peer-review

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14 Citations (Scopus)

70 Downloads (Pure)
Modelling cell movement and chemotaxis pseudopod based feedback
Neilson, M. P., Mackenzie, J., Webb, S. & Insall, R. H., 2011, In: SIAM Journal on Scientific Computing. 33, 3, p. 1035–1057 23 p.
Research output: Contribution to journal › Article › peer-review

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57 Citations (Scopus)

291 Downloads (Pure)
2010
Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell
Neilson, M. P., Mackenzie, J., Webb, S. & Insall, R. H., 2 Nov 2010, In: Integrative Biology. 2, 11-12, p. 687-695 9 p.
Research output: Contribution to journal › Article › peer-review
12 Citations (Scopus)
2007
A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations
MacKenzie, J. & Nicola, A., 2007, In: SIAM Journal on Scientific Computing. 29, 6, p. 2258-2282 25 p.
Research output: Contribution to journal › Article › peer-review

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6 Citations (Scopus)

68 Downloads (Pure)
An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh
MacKenzie, J. A. & Mekwi, W., 2007, In: IMA Journal of Numerical Analysis. 27, 3, p. 507-528 22 p.
Research output: Contribution to journal › Article › peer-review
22 Citations (Scopus)
2006
Improvement in screening performance and diagnosis of congenital hypothyroidism in Scotland 1979-2003
Jones, J. H., Mackenzie, J., Croft, G. A., Beaton, S., Young, D. & Donaldson, M. D. C., 1 Aug 2006, In: Archives of Disease in Childhood. 91, 8, p. 680-685 6 p.
Research output: Contribution to journal › Article › peer-review
36 Citations (Scopus)
An r-adaptive finite element method for the solution of the two-dimensional phase-field equations
Beckett, G., MacKenzie, J. & Robertson, M. L., 2006, In: Communications in Computational Physics. 1, 5, p. 805-826 22 p.
Research output: Contribution to journal › Article › peer-review
2004
Finite element moving mesh analysis of phase change problems with natural convection
Tenchev, R. T., MacKenzie, J. A., Scanlon, T. J. & Stickland, M. T., 2004, In: International Journal of Heat and Fluid Flow. 26, 4, p. 597-612 15 p.
Research output: Contribution to journal › Article › peer-review
28 Citations (Scopus)
2002
A moving mesh method for the solution of the one-dimensional phase-field equations
Mackenzie, J. A. & Robertson, M. L., 2002, In: Journal of Computational Physics. 181, 2, p. 526-544 18 p.
Research output: Contribution to journal › Article › peer-review
43 Citations (Scopus)
Computational solution of two-dimensional unsteady PDEs using moving mesh methods
Beckett, G., Ramage, A., Sloan, D. M. & Mackenzie, J. A., 2002, In: Journal of Computational Physics. 182, 2, p. 478-495 17 p.
Research output: Contribution to journal › Article › peer-review
38 Citations (Scopus)
2001
A moving mesh finite element method for the solution of two-dimensional Stefan problems
Beckett, G., Mackenzie, J. A. & Robertson, M. L., 10 Apr 2001, In: Journal of Computational Physics. 168, 2, p. 500-518 18 p.
Research output: Contribution to journal › Article › peer-review
97 Citations (Scopus)
A moving mesh method for one-dimensional hyperbolic conservation laws
Stockie, J. M., MacKenzie, J. A. & Russell, R. D., 2001, In: SIAM Journal on Scientific Computing. 22, 5, p. 1791-1813 23 p.
Research output: Contribution to journal › Article › peer-review

Open Access
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85 Citations (Scopus)

16 Downloads (Pure)
Book review of robust computational techniques for boundary layers
Mackenzie, J. A., 2001, In: SIAM Review. 43, 3, p. 563-565 2 p.
Research output: Contribution to journal › Article › peer-review
On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
Beckett, G. & Mackenzie, J. A., 2001, In: Journal of Computational and Applied Mathematics. 131, 1-2, p. 381-405 24 p.
Research output: Contribution to journal › Article › peer-review
72 Citations (Scopus)
On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
Beckett, G., Ramage, A., Sloan, D. M. & Mackenzie, J. A., 2001, In: Journal of Computational Physics. 167, 2, p. 372-392 20 p.
Research output: Contribution to journal › Article › peer-review
61 Citations (Scopus)
Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution
Beckett, G. & Mackenzie, J. A., 2001, In: Applied Numerical Mathematics. 39, 1, p. 31-45 14 p.
Research output: Contribution to journal › Article › peer-review
14 Citations (Scopus)

John MacKenzie

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