Items for Madzvamuse, Anotida

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Number of items: 50.

Article

Tuncer, Necibe and Madzvamuse, Anotida (2017) Projected finite elements for systems of reaction-diffusion equations on closed evolving spheroidal surfaces. Communications in Computational Physics, 21 (3). pp. 718-747. ISSN 1815-2406

Yang, Feng Wei, Venkataraman, Chandrasekhar, Styles, Vanessa and Madzvamuse, Anotida (2017) A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws. Communications in Computational Physics, 21 (1). pp. 65-92. ISSN 1815-2406

Madzvamuse, A and Chung, A H (2016) Analysis and simulations of coupled bulk-surface reaction-diffusion systems on exponentially evolving volumes. Mathematical Modelling of Natural Phenomena, 11 (5). pp. 4-32. ISSN 0973-5348

Upadhyay, Ranjit Kumar, Roy, Parimita, Venkataraman, C and Madzvamuse, A (2016) Wave of chaos in a spatial eco-epidemiological system: generating realistic patterns of patchiness in rabbit-lynx dynamics. Mathematical Biosciences, 281. pp. 98-119. ISSN 0025-5564

Madzvamuse, Anotida and Lubkin, Sharon R (2016) A note on how to develop interdisciplinary collaborations between experimentalists and theoreticians. Interface Focus, 6 (5). p. 20160069. ISSN 2042-8898

Yang, Feng Wei, Venkataraman, Chandrasekhar, Styles, Vanessa, Kuttenberger, V, Horn, E, von Guttenberg, Z and Madzvamuse, Anotida (2016) A computational framework for particle and whole cell tracking applied to a real biological dataset. Journal of Biomechanics, 49 (8). pp. 1290-1304. ISSN 0021-9290

Madzvamuse, Anotida, Ndakwo, Hussaini S and Barreira, Raquel (2016) Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion. Discrete and Continuous Dynamical Systems - Series A, 36 (4). pp. 2133-2170. ISSN 1078-0947

Madzvamuse, Anotida and Chung, Andy H W (2016) The bulk-surface finite element method for reaction-diffusion systems on stationary volumes. Finite Elements in Analysis and Design, 108. pp. 9-21. ISSN 0168-874X

Sekimura, Toshio, Venkataraman, Chandrasekhar and Madzvamuse, Anotida (2015) A model for selection of eyespots on butterfly wings. PLoS ONE, 10 (11). pp. 1-23. ISSN 1932-6203

Blazakis, Konstantinos N, Madzvamuse, Anotida, Reyes-Aldasoro, Constantino-Carlos, Styles, Vanessa and Venkataraman, Chandrasekhar (2015) Whole cell tracking through the optimal control of geometric evolution laws. Journal of Computational Physics, 297. pp. 495-514. ISSN 0021-9991

Tuncer, N, Madzvamuse, A and Meir, A J (2015) Projected finite elements for reaction-diffusion systems on stationary closed surfaces. Applied Numerical Mathematics, 96. pp. 45-71. ISSN 0168-9274

Portet, Stéphanie, Madzvamuse, Anotida, Chung, Andy, Leube, Rudolf E and Windoffer, Reinhard (2015) Keratin dynamics: modeling the interplay between turnover and transport. PLoS ONE, 10 (3). e0121090. ISSN 1932-6203

Madzvamuse, Anotida, Ndakwo, Hussaini S and Barreira, Raquel (2015) Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations. Journal of Mathematical Biology, 70 (4). pp. 709-743. ISSN 0303-6812

Madzvamuse, Anotida, Chung, Andy H W and Venkataraman, Chandrasekhar (2015) Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems. Proceedings of the Royal Society A, 471 (2175). ISSN 1364-5021

Chong, Maureen Siew Fang, Shahrill, Masitah, Crossley, Laurie and Madzvamuse, Anotida (2015) The stability analyses of the mathematical models of hepatitis C virus infection. Modern Applied Science, 9 (3). pp. 250-271. ISSN 1913-1844

Madzvamuse, A and Barreira, R (2014) Exhibiting cross-diffusion-induced patterns for reaction-diffusion systems on evolving domains and surfaces. Physical Review E, 90. 043307-1-043307-14. ISSN 1539-3755

Madzvamuse, Anotida and Chung, Andy H W (2014) Fully implicit time-stepping schemes and non-linear solvers for systems of reaction-diffusion equations. Applied Mathematics and Computation, 244. pp. 361-374. ISSN 0096-3003

Madzvamuse, Anotida and George, Uduak (2013) The moving grid finite element method applied to cell movement and deformation. Finite Elements in Analysis and Design, 74. pp. 76-92. ISSN 0168-874X

Lakkis, Omar, Madzvamuse, Anotida and Venkataraman, Chandrasekhar (2013) Implicit--explicit timestepping with finite element approximation of reaction--diffusion systems on evolving domains. SIAM Journal on Numerical Analysis, 51 (4). pp. 2309-2330. ISSN 0036-1429

Lakkis, Omar, Madzvamuse, Anotida and Venkataraman, Chandrasekhar (2013) Implicit-explicit timestepping with finite element approximation of reaction-diffusion systems on evolving domains. SIAM Journal on Numerical Analysis, 51 (4). pp. 2309-2330. ISSN 0036-1429

Gilmore, Stephen J, Vaughan, Benjamin L, Madzvamuse, Anotida and Maini, Phlip K (2012) A mechanochemical model of striae distensae. Mathematical Biosciences, 240 (2). pp. 141-147. ISSN 1879-3134

Hetzer, Georg, Madzvamuse, Anotida and Shen, Wenxian (2012) Characterization of Turing diffusion-driven instability on evolving domains. Discrete and Continuous Dynamical Systems - Series A, 32 (11). pp. 3975-4000. ISSN 1078-0947

Crossley, Laurie, Garrett, Caroline A, Hafezparast, Majid and Madzvamuse, Anotida (2012) From the cell membrane to the nucleus: unearthing transport mechanisms for Dynein. Bulletin of Mathematical Biology, 74 (9). pp. 2032-2061. ISSN 1522-9602

Venkataraman, Chandrashekar, Lakkis, Omar and Madzvamuse, Anotida (2012) Global existence for semilinear reaction-diffusion systems on evolving domains. Journal of Mathematical Biology, 64 (1-2). pp. 41-67. ISSN 0303-6812

George, Uduak Z, Stéphanou, Angélique and Madzvamuse, Anotida (2012) Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell. Journal of Mathematical Biology, 66 (3). pp. 547-593. ISSN 0303-6812

Barreira, R, Elliott, C M and Madzvamuse, A (2011) The surface finite element method for pattern formation on evolving biological surfaces. Journal of Mathematical Biology, 63 (6). pp. 1095-1119. ISSN 0303-6812

Venkataraman, Chandrasekhar, Sekimura, Toshio, Gaffney, Eamonn A, Maini, Philip K and Madzvamuse, Anotida (2011) Modeling parr-mark pattern formation during the early development of Amago trout. Physical Review E (PRE), 84 (4). 041923. ISSN 1539-3755

Madzvamuse, Anotida, Gaffney, Eamonn A and Maini, Philip K (2010) Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains. Journal of Mathematical Biology, 61 (1). pp. 133-164. ISSN 0303-6812

Mackenzie, J A and Madzvamuse, A (2009) 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

Madzvamuse, Anotida and Maini, Philip K (2007) Velocity-induced numerical solutions of reaction-diffusion systems on continuously deforming domains. Journal of Computational Physics, 225 (1). pp. 100-119. ISSN 00219991

Sekimura, Toshio, Madzvamuse, Anotida and Maini, Philip K (2007) Pigmentation pattern formation in butterfly wings: Global patterns of fore- and hind-wing. Mathematical Modeling of Biological Systems, 1. pp. 147-154.

Madzvamuse, Anotida (2007) A modified backward Euler scheme for advection-reaction-diffusion systems. Mathematical modeling of biological systems. Mathematical Modeling of Biological Systems, 1. pp. 183-190.

Madzvamuse, Anotida (2006) Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains. Journal of Computational Physics, 214 (1). 239 - 263. ISSN 0021-9991

Madzvamuse, Anotida, Maini, Philip K and Wathen, Andrew J (2005) A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Journal of Scientific Computing, 24 (2). pp. 247-262. ISSN 1573-7691

Madzvamuse, Anotida, Wathen, Andrew J and Maini, Philip K (2003) A moving grid finite element method applied to a model biological pattern generator. Journal of Computational Physics, 190 (2). pp. 478-500. ISSN 0021-9991

Nijhout, H Frederik, Maini, Philip K, Madzvamuse, Anotida, Wathen, Andrew J and Sekimura, Toshio (2003) Pigmentation pattern formation in butterflies - experiments and models. Comptes Rendus Biologies, 326 (8). pp. 711-727. ISSN 1631-0691

Madzvamuse, Anotida, Thomas, Roger D K, Maini, Philip K and Wathen, Andrew J (2002) A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Bulletin of Mathematical Biology, 64 (3). pp. 501-530. ISSN 0092-8240

Madzvamuse, Anotida, Maini, Philip K, Wathen, Andrew J and Sekimura, Toshio (2002) A predictive model for color pattern formation in the butterfly wing of Papilio dardanus. Hiroshima Mathematics Journal, 32. pp. 325-336.

Sekimura, T, Madzvamuse, A, Wathen, A J and Maini, P K (2000) A model for Colour Pattern formation in the Butterfly wing of Papilio dardanus. Proceedings B: Biological Sciences, 267 (1446). pp. 851-859. ISSN 1471-2954

Thomas, R D K, Madzvamuse, A, Maini, P K and Wathen, A J (2000) Growth patterns of noetiid ligaments: implications of developmental models for the origin of an evolutionary novelty among arcoid bivalves. Geological Society Special Publication (117). pp. 279-289. ISSN 03058719

Book Section

Madzvamuse, Anotida, Gerisch, Alf and Barreira, Raquel (2016) Cross-diffusion in reaction-diffusion models: analysis, numerics and applications. In: Proceedings of the 19th European Conference on Mathematics for Industry. Mathematics in industry . Springer. (Accepted)

Blazakis, K, Reyes-Aldasoro, C C, Styles, V, Venkataraman, C and Madzvamuse, A (2015) An optimal control approach to cell tracking. In: Louis, Alfred K, Arridge, Simon and Rundell, Bill (eds.) Proceedings of the Inverse Problems from Theory to Applications Conference (IPTA2014). IOP Publishing Ltd, pp. 74-77. ISBN 9780750311069

Venkataraman, C, Lakkis, O and Madzvamuse, A (2013) Adaptive finite elements for semilinear reaction-diffusion systems on growing domains. In: Cangiani, Andrea and et al, (eds.) Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011. Springer, Berlin, pp. 71-82. ISBN 9783642331336

Conference or Workshop Item

Madzvamuse, Anotida, Leube, Rudolf E, Othmer, Hans and Merkel, Rudolf (2015) Coupling geometric PDEs with physics, cell morphology, motility and pattern formation. In: Coupling geometric PDEs with physics, cell morphology, motility and pattern formation, 13th July 2015 to 18th December 2015.

Yang, F, Venkataraman, C, Styles, V and Madzvamuse, A (2015) A parallel and adaptive multigrid solver for the solutions of the optimal control of geometric evolution laws in two and three dimensions. In: 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2015, 29 June-1 July 2015, Paris, France. (Accepted)

Yang, Feng Wei, Madzvamuse, Anotida and Venkataraman, Chandrasekhar (2015) Whole cell tracking and movement reconstruction through an optimal control problem. In: Seminar at iBiDi, Munich, Germany, 8 June, 2015, Munich, Germany.

Madzvamuse, A, Thomas, R D K, Sekimura, T, Wathen, A J and Maini, P K (2003) The moving grid finite element method applied to biological problems. In: Morphogenesis and Pattern Formation in Biological Systems.

Sekimura, T, Madzvamuse, A, Wathen, A J and Maini, P K (2002) Pigmentation pattern formation in the butterfly wing of Papilio dardanus. In: Mathematical Modelling and Computing in Biology and Medicine: Proceedings of the 5th European Conference for Mathematics and Theoretical Biology Conference.

Maini, P K, Crampin, E J, Madzvamuse, A, Wathen, A J and Thomas, R D K (2002) Implications of domain growth in morphogenesis. In: Mathematical Modelling and Computing in Biology and Medicine: Proceedings of the 5th European Conference for Mathematics and Theoretical Biology Conference.

Edited Special Journal Issue

Leube, Rudolf, Madzvamuse, Anotida, Merkel, Rudolf and Othmer, Hans, eds. (2016) [Special issue] Coupling geometric partial differential equations with physics for cell morphology, motility and pattern formation. Interface Focus, 6 (5). ISSN 2042-8898

This list was generated on Thu Mar 23 10:20:00 2017 GMT.