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**28**.

## Article

Mackenzie, J.A. and Nolan, M. and Insall, R.H.
(2016)
*Local modulation of chemoattractant concentrations by single cells : dissection using a bulk-surface computational model.*
Interface Focus, 6.
ISSN 2042-8901

MacKenzie, John and MacDonald, Grant and Mills, Andrew and Wells, Nathan
(2016)
*Kinetics of reduction of a Resazurin-based photocatalytic activity ink.*
Catalysis Today.
ISSN 0920-5861
(In Press)

MacDonald, G. and MacKenzie, J.A. and Nolan, M. and Insall, R.H.
(2016)
*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.*
Journal of Computational Physics, 309.
207–226.
ISSN 0021-9991

MacDonald, Craig S. and MacKenzie, John A. and Ramage, Alison and Newton, Christopher J. P.
(2015)
*Efficient moving mesh methods for Q-tensor models of nematic liquid crystals.*
SIAM Journal on Scientific Computing, 37 (2).
B215-B238.
ISSN 1064-8275

MacDonald, Craig and MacKenzie, John and Ramage, Alison and Newton, Chris
(2012)
*Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals.*
Computers and Mathematics with Applications, 64 (11).
pp. 3627-3640.
ISSN 0898-1221

Mackenzie, John and Mekwi, W.R.
(2012)
*An unconditionally stable second-order accurate ALE–FEM scheme for two-dimensional convection–diffusion problems.*
IMA Journal of Numerical Analysis, 32 (3).
pp. 888-905.
ISSN 0272-4979

Neilson, Matthew P. and Veltmahn, Douwe M. and van Haastert, Peter J.M. and Webb, Steven and Mackenzie, John A. and Insall, Robert H.
(2011)
*Chemotaxis : a feedback-based computational model robustly predicts multiple aspects of real cell behaviour.*
PLOS Biology, 9 (5).

Mackenzie, J.A. and Madzvamuse, A.
(2011)
*Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain.*
IMA Journal of Numerical Analysis, 31 (1).
pp. 212-232.
ISSN 0272-4979

Neilson, Matthew Paterson and Mackenzie, John and Webb, Steven and Insall, Robert H.
(2011)
*Modelling cell movement and chemotaxis pseudopod based feedback.*
SIAM Journal on Scientific Computing, 33 (3).
1035–1057.
ISSN 1064-8275

Neilson, Matthew Paterson and Mackenzie, John and Webb, Steven and Insall, Robert H.
(2010)
*Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell.*
Integrative Biology, 2 (11-12).
pp. 687-695.

MacKenzie, J.A. and Mekwi, W.
(2007)
*An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh.*
IMA Journal of Numerical Analysis, 27 (3).
pp. 507-528.
ISSN 0272-4979

MacKenzie, John and Nicola, Aurelian
(2007)
*A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations.*
SIAM Journal on Scientific Computing, 29 (6).
pp. 2258-2282.
ISSN 1064-8275

Jones, J H and Mackenzie, J and Croft, G A and Beaton, S and Young, D and Donaldson, M D C
(2006)
*Improvement in screening performance and diagnosis of congenital hypothyroidism in Scotland 1979-2003.*
Archives of Disease in Childhood, 91 (8).
pp. 680-685.
ISSN 0003-9888

Beckett, G. and MacKenzie, John and Robertson, M.L.
(2006)
*An r-adaptive finite element method for the solution of the two-dimensional phase-field equations.*
Communications in Computational Physics, 1 (5).
pp. 805-826.
ISSN 1815-2406

Tenchev, R.T. and MacKenzie, J.A. and Scanlon, T.J. and Stickland, M.T.
(2004)
*Finite element moving mesh analysis of phase change problems with natural convection.*
International Journal of Heat and Fluid Flow, 26 (4).
pp. 597-612.
ISSN 0142-727X

Beckett, G. and Ramage, A. and Sloan, D.M. and Mackenzie, J.A.
(2002)
*Computational solution of two-dimensional unsteady PDEs using moving mesh methods.*
Journal of Computational Physics, 182 (2).
pp. 478-495.
ISSN 0021-9991

Mackenzie, J.A. and Robertson, M.L.
(2002)
*A moving mesh method for the solution of the one-dimensional phase-field equations.*
Journal of Computational Physics, 181 (2).
pp. 526-544.
ISSN 0021-9991

Beckett, G. and Mackenzie, John A. and Robertson, M.L.
(2001)
*A moving mesh finite element method for the solution of two-dimensional Stefan problems.*
Journal of Computational Physics, 168 (2).
pp. 500-518.
ISSN 0021-9991

Mackenzie, John A.
(2001)
*Book review of robust computational techniques for boundary layers.*
SIAM Review, 43 (3).
pp. 563-565.
ISSN 0036-1445

Beckett, G. and Mackenzie, J.A.
(2001)
*On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution.*
Journal of Computational and Applied Mathematics, 131 (1-2).
pp. 381-405.
ISSN 0377-0427

Beckett, G. and Ramage, A. and Sloan, D.M. and Mackenzie, J.A.
(2001)
*On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution.*
Journal of Computational Physics, 167 (2).
pp. 372-392.
ISSN 0021-9991

Beckett, G. and Mackenzie, J.A.
(2001)
*Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution.*
Applied Numerical Mathematics, 39 (1).
pp. 31-45.
ISSN 0168-9274

Stockie, John M. and MacKenzie, John A. and Russell, Robert D.
(2001)
*A moving mesh method for one-dimensional hyperbolic conservation laws.*
SIAM Journal on Scientific Computing, 22 (5).
pp. 1791-1813.
ISSN 1064-8275

## Book Section

MacKenzie, John and Mekwi, W.R.
(2006)
*On the use of moving mesh methods to solve PDEs.*
In:
Adaptive communications.
Mathematics Monograph Series
.
Science Press Beijing, pp. 243-278.
ISBN 9787030184214

Kidd, J.E. and Constanda, C. and MacKenzie, John and Stewart, Iain
(2002)
*Connection between liquid crystal theory and plate theory.*
In:
Integral Methods in Science and Engineering: Theoretical and Practical Aspects.
Birkhauser, Boston, USA.
ISBN 0-8176-4213-7

## Conference or Workshop Item

Mackenzie, J.A.
(2004)
*On the solution of connective heat transfer problems using an adaptive moving mesh method.*
In: UNSPECIFIED.

Mackenzie, J.A.
(2004)
*An adaptive moving mesh method with local mesh refinement for singularly perturbed PDEs.*
In: UNSPECIFIED.

## Monograph

MacDonald, Craig and MacKenzie, John and Ramage, Alison and Newton, Chris
(2011)
*Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals.*
Working paper.
University of Strathclyde, Glasgow.

**Tue Jan 16 01:04:02 2018 GMT**.