## Iron, David

Compute Distance To:
 Author ID: iron.david Published as: Iron, David; Iron, D. External Links: MGP
 Documents Indexed: 25 Publications since 2000 Co-Authors: 21 Co-Authors with 25 Joint Publications 483 Co-Co-Authors
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### Co-Authors

 0 single-authored 8 Ward, Michael J. 7 Kolokolnikov, Theodore 7 Rumsey, John R. 5 Wei, Juncheng 3 Levy, Chris 2 Doelman, Arjen 2 Gai, Chunyi 2 Nishiura, Yasumasa 1 Alcolado, Adam 1 Dawes, Adriana T. 1 Evers, Joep H. M. 1 Khalil, Nancy 1 Lukacsovich, Tamas 1 Marsh, Lawrence J. 1 Naghibi, Mehrangiz 1 Nie, Qing 1 Smith-Roberge, Julien 1 Syed, Adeela 1 Theisen, Heidi 1 Wan, Frederic Yui-Ming 1 Winter, Matthias
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### Serials

 5 Journal of Mathematical Biology 4 European Journal of Applied Mathematics 3 SIAM Journal on Applied Mathematics 2 Physica D 1 Nonlinearity 1 Mathematics and Computers in Simulation 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Chaos 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 Mathematical Biosciences and Engineering 1 Journal of Theoretical Biology
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### Fields

 21 Partial differential equations (35-XX) 13 Biology and other natural sciences (92-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 272 times in 207 Documents Cited by Year
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
2001
Stability analysis of Turing patterns generated by the Schnakenberg model. Zbl 1057.92011
Iron, David; Wei, Juncheng; Winter, Matthias
2004
The dynamics of multispike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 1019.35016
Iron, David; Ward, Michael J.
2002
A metastable spike solution for a nonlocal reaction-diffusion model. Zbl 0956.35011
Iron, David; Ward, Michael J.
2000
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
2019
Logarithmic expansions and the stability of periodic patterns of localized spots for reaction-diffusion systems in $$\mathbb R^2$$. Zbl 1334.35347
Iron, David; Rumsey, John; Ward, Michael J.; Wei, Juncheng
2014
Destabilization of fronts in a class of bistable systems. Zbl 1063.35023
Doelman, Arjen; Iron, David; Nishiura, Yasumasa
2004
Cortical geometry may influence placement of interface between Par protein domains in early Caenorhabditis elegans embryos. Zbl 1397.92084
2013
The stability and dynamics of hot-spot solutions to two one-dimensional microwave heating models. Zbl 1050.35008
Iron, David; Ward, Michael J.
2004
Spike pinning for the Gierer-Meinhardt model. Zbl 0979.35142
Iron, David; Ward, Michael J.
2001
Dynamics and stability of a three-dimensional model of cell signal transduction with delay. Zbl 1356.35265
Levy, Chris; Iron, David
2015
Dynamics and stability of a three-dimensional model of cell signal transduction. Zbl 1283.35151
Levy, Chris; Iron, David
2013
Stability of asymmetric spike solutions to the Gierer-Meinhardt system. Zbl 1163.37337
Iron, D.; Rumsey, J.
2007
Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore
2020
On accurately estimating stability thresholds for periodic spot patterns of reaction-diffusion systems in $$\mathbb{R}^2$$. Zbl 1382.35134
Iron, D.; Rumsey, J.; Ward, M. J.; Wei, J.
2015
Model of cell signal transduction in a three-dimensional domain. Zbl 1232.92045
Levy, Chris; Iron, David
2011
A model of cell surface receptor aggregation. Zbl 1370.92026
Iron, D.; Rumsey, J.
2017
The dynamics of boundary spikes for a nonlocal reaction-diffusion model. Zbl 0971.92002
Iron, D.; Ward, M. J.
2000
The role of feedback in the formation of morphogen territories. Zbl 1157.93310
Iron, David; Syed, Adeela; Theisen, Heidi; Naghibi, Mehrangiz; Lukacsovich, Tamas; Marsh, Lawrence J.; Wan, Frederic Y. M.; Nie, Qing
2008
Stability of curved interfaces in the perturbed two-dimensional Allen – Cahn system. Zbl 1184.35021
Iron, David; Kolokolonikov, Theodore; Rumsey, John; Wei, Juncheng
2009
Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore
2020
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
2019
A model of cell surface receptor aggregation. Zbl 1370.92026
Iron, D.; Rumsey, J.
2017
Dynamics and stability of a three-dimensional model of cell signal transduction with delay. Zbl 1356.35265
Levy, Chris; Iron, David
2015
On accurately estimating stability thresholds for periodic spot patterns of reaction-diffusion systems in $$\mathbb{R}^2$$. Zbl 1382.35134
Iron, D.; Rumsey, J.; Ward, M. J.; Wei, J.
2015
Logarithmic expansions and the stability of periodic patterns of localized spots for reaction-diffusion systems in $$\mathbb R^2$$. Zbl 1334.35347
Iron, David; Rumsey, John; Ward, Michael J.; Wei, Juncheng
2014
Cortical geometry may influence placement of interface between Par protein domains in early Caenorhabditis elegans embryos. Zbl 1397.92084
2013
Dynamics and stability of a three-dimensional model of cell signal transduction. Zbl 1283.35151
Levy, Chris; Iron, David
2013
Model of cell signal transduction in a three-dimensional domain. Zbl 1232.92045
Levy, Chris; Iron, David
2011
Stability of curved interfaces in the perturbed two-dimensional Allen – Cahn system. Zbl 1184.35021
Iron, David; Kolokolonikov, Theodore; Rumsey, John; Wei, Juncheng
2009
The role of feedback in the formation of morphogen territories. Zbl 1157.93310
Iron, David; Syed, Adeela; Theisen, Heidi; Naghibi, Mehrangiz; Lukacsovich, Tamas; Marsh, Lawrence J.; Wan, Frederic Y. M.; Nie, Qing
2008
Stability of asymmetric spike solutions to the Gierer-Meinhardt system. Zbl 1163.37337
Iron, D.; Rumsey, J.
2007
Stability analysis of Turing patterns generated by the Schnakenberg model. Zbl 1057.92011
Iron, David; Wei, Juncheng; Winter, Matthias
2004
Destabilization of fronts in a class of bistable systems. Zbl 1063.35023
Doelman, Arjen; Iron, David; Nishiura, Yasumasa
2004
The stability and dynamics of hot-spot solutions to two one-dimensional microwave heating models. Zbl 1050.35008
Iron, David; Ward, Michael J.
2004
The dynamics of multispike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 1019.35016
Iron, David; Ward, Michael J.
2002
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
2001
Spike pinning for the Gierer-Meinhardt model. Zbl 0979.35142
Iron, David; Ward, Michael J.
2001
A metastable spike solution for a nonlocal reaction-diffusion model. Zbl 0956.35011
Iron, David; Ward, Michael J.
2000
The dynamics of boundary spikes for a nonlocal reaction-diffusion model. Zbl 0971.92002
Iron, D.; Ward, M. J.
2000
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### Cited by 224 Authors

 47 Wei, Juncheng 36 Ward, Michael J. 22 Kolokolnikov, Theodore 19 Winter, Matthias 12 Iron, David 11 Doelman, Arjen 10 Tzou, Justin C. 7 Nec, Yana 7 Wang, Zhian 6 Ishii, Yuta 6 Wang, Mingxin 6 Zhou, Jun 5 Maini, Philip Kumar 4 Ao, Weiwei 4 Gomez, Daniel 4 Ma, Manjun 4 Peng, Rui 4 Rumsey, John R. 4 Tse, Wang Hung 4 Xie, Shuangquan 3 Breña-Medina, Víctor F. 3 Champneys, Alan R. 3 Chen, Wenyan 3 de Rijk, Björn 3 Gaffney, Eamonn A. 3 Gou, Jia 3 Kaper, Tasso J. 3 Krause, Andrew L. 3 Madzvamuse, Anotida 3 Morimoto, Kotaro 3 Moyles, Iain R. 3 Mu, Chunlai 3 Nagata, Wayne 3 Sarfaraz, Wakil 3 van Heijster, Peter 3 Yang, Wen 2 Al Saadi, Fahad 2 Davidson, Fordyce A. 2 Fadai, Nabil T. 2 Gai, Chunyi 2 Holmes, William R. 2 Iyaniwura, Sarafa A. 2 Jin, Haiyang 2 Kumari, Nitu 2 Kurata, Kazuhiro 2 Lee, Sungrim Seirin 2 Lyu, Wenbin 2 Ma, Zhanping 2 Marée, Athanasius F. M. 2 Mei, Linfeng 2 Mohan, Nishith 2 Paquin-Lefebvre, Frédéric 2 Rademacher, Jens Diederich Michael 2 Rottschäfer, Vivi 2 Sewalt, Lotte 2 Shi, Junping 2 Tzou, Leo 2 Veerman, Frits 2 Verschueren, Nicolas 2 Wang, Yuwen 2 Wei, Junjie 2 Woolley, Thomas E. 2 Xia, Peng 2 Zhang, Yongtao 1 Adamer, Michael F. 1 Avitabile, Daniele 1 Baker, Ruth Elizabeth 1 Balachandran, Krishnan 1 Barrass, Iain 1 Bastiaansen, Robbin 1 Bayliss, Alvin 1 Bernoff, Andrew J. 1 Booker, Kyle 1 Cai, Shuting 1 Carrasco-Teja, Mariana 1 Carretero-González, Ricardo 1 Carter, Paul M. 1 Celiker, Emine 1 Chen, Shanqin 1 Chen, Shanshan 1 Chen, Wan 1 Chen, Yiren 1 Cheng, Yingda 1 Cheng, Zhibo 1 Chugunova, Marina A. 1 Crampin, Edmund John 1 Dawes, Adriana T. 1 de Medeiros, Markus 1 Del Pino, Manuel A. 1 Deutsch, Andreas 1 Din, Qamar 1 Dodds, Niall 1 Edelstein-Keshet, Leah 1 Ei, Shin-Ichiro 1 Eigentler, Lukas 1 Ellis, Meredith A. 1 Erneux, Thomas 1 Feng, Xiuhong 1 Fragnelli, Genni 1 Gálvez, Jesus ...and 124 more Authors
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### Cited in 68 Serials

 20 Physica D 15 Bulletin of Mathematical Biology 11 Journal of Mathematical Biology 11 SIAM Journal on Applied Dynamical Systems 9 Journal of Differential Equations 9 European Journal of Applied Mathematics 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Journal of Nonlinear Science 6 Nonlinearity 6 Studies in Applied Mathematics 6 Journal of Dynamics and Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Analysis and Applications 3 Japan Journal of Industrial and Applied Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Chemistry 3 Chaos 3 Nonlinear Analysis. Real World Applications 3 Communications on Pure and Applied Analysis 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Chaos, Solitons and Fractals 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Nonlinear Dynamics 2 Mathematical Biosciences and Engineering 2 Mathematical Modelling of Natural Phenomena 2 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Review 1 Advances in Computational Mathematics 1 Communications in Contemporary Mathematics 1 The ANZIAM Journal 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Communications in Computational Physics 1 Analysis and Mathematical Physics 1 Advances in Nonlinear Analysis 1 Journal of Applied Nonlinear Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Electronic Research Archive 1 Mathematics in Applied Sciences and Engineering
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### Cited in 21 Fields

 176 Partial differential equations (35-XX) 115 Biology and other natural sciences (92-XX) 19 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 10 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)