Time-stepping schemes for moving grid finite elements applied to reaction–diffusion systems on fixed and growing domains A Madzvamuse Journal of computational physics 214 (1), 239-263, 2006 | 169 | 2006 |
The surface finite element method for pattern formation on evolving biological surfaces R Barreira, CM Elliott, A Madzvamuse Journal of mathematical biology 63, 1095-1119, 2011 | 159 | 2011 |
A moving grid finite element method applied to a model biological pattern generator A Madzvamuse, AJ Wathen, PK Maini Journal of computational physics 190 (2), 478-500, 2003 | 159 | 2003 |
Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains A Madzvamuse, EA Gaffney, PK Maini Journal of mathematical biology 61, 133-164, 2010 | 140 | 2010 |
Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains A Madzvamuse, PK Maini Journal of computational physics 225 (1), 100-119, 2007 | 126 | 2007 |
A sensor kinase controls turgor-driven plant infection by the rice blast fungus LS Ryder, YF Dagdas, MJ Kershaw, C Venkataraman, A Madzvamuse, ... Nature 574 (7778), 423-427, 2019 | 117 | 2019 |
A numerical approach to the study of spatial pattern formation. A Madzvamuse University of Oxford, 2000 | 113 | 2000 |
Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations A Madzvamuse, HS Ndakwo, R Barreira Journal of mathematical biology 70 (4), 709-743, 2015 | 109 | 2015 |
A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains A Madzvamuse, PK Maini, AJ Wathen Journal of Scientific Computing 24, 247-262, 2005 | 103 | 2005 |
Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems A Madzvamuse, AHW Chung, C Venkataraman Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015 | 90 | 2015 |
A model for colour pattern formation in the butterfly wing of Papilio dardanus T Sekimura, A Madzvamuse, AJ Wathen, PK Maini Proceedings of the Royal Society of London. Series B: Biological Sciences …, 2000 | 90 | 2000 |
A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves A Madzvamuse, RDK Thomas, PK Maini, AJ Wathen Bulletin of mathematical biology 64 (3), 501-530, 2002 | 88 | 2002 |
Two interlinked bistable switches govern mitotic control in mammalian cells S Rata, MFSP Rodriguez, S Joseph, N Peter, FE Iturra, F Yang, ... Current biology 28 (23), 3824-3832. e6, 2018 | 83 | 2018 |
Cell migration through three-dimensional confining pores: speed accelerations by deformation and recoil of the nucleus M Krause, FW Yang, M Te Lindert, P Isermann, J Schepens, RJA Maas, ... Philosophical Transactions of the Royal Society B 374 (1779), 20180225, 2019 | 75 | 2019 |
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 | 71 | 2019 |
Pigmentation pattern formation in butterflies: experiments and models HF Nijhout, PK Maini, A Madzvamuse, AJ Wathen, T Sekimura Comptes rendus. Biologies 326 (8), 717-727, 2003 | 66 | 2003 |
A mechanochemical model of striae distensae SJ Gilmore, BL Vaughan Jr, A Madzvamuse, PK Maini Mathematical biosciences 240 (2), 141-147, 2012 | 65 | 2012 |
The bulk-surface finite element method for reaction–diffusion systems on stationary volumes A Madzvamuse, AHW Chung Finite Elements in Analysis and Design 108, 9-21, 2016 | 59 | 2016 |
Implicit--explicit timestepping with finite element approximation of reaction--diffusion systems on evolving domains O Lakkis, A Madzvamuse, C Venkataraman SIAM Journal on Numerical Analysis 51 (4), 2309-2330, 2013 | 59 | 2013 |
High accuracy benchmark problems for Allen-Cahn and Cahn-Hilliard dynamics JM Church, Z Guo, PK Jimack, A Madzvamuse, K Promislow, B Wetton, ... Communications in computational physics 26 (4), 2019 | 43 | 2019 |