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Author ID: iron.david Recent zbMATH articles by "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

Publications by Year

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
102
2001
Stability analysis of Turing patterns generated by the Schnakenberg model. Zbl 1057.92011
Iron, David; Wei, Juncheng; Winter, Matthias
50
2004
The dynamics of multispike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 1019.35016
Iron, David; Ward, Michael J.
34
2002
A metastable spike solution for a nonlocal reaction-diffusion model. Zbl 0956.35011
Iron, David; Ward, Michael J.
20
2000
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
16
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
8
2014
Destabilization of fronts in a class of bistable systems. Zbl 1063.35023
Doelman, Arjen; Iron, David; Nishiura, Yasumasa
6
2004
Cortical geometry may influence placement of interface between Par protein domains in early Caenorhabditis elegans embryos. Zbl 1397.92084
Dawes, Adriana T.; Iron, David
5
2013
The stability and dynamics of hot-spot solutions to two one-dimensional microwave heating models. Zbl 1050.35008
Iron, David; Ward, Michael J.
5
2004
Spike pinning for the Gierer-Meinhardt model. Zbl 0979.35142
Iron, David; Ward, Michael J.
4
2001
Dynamics and stability of a three-dimensional model of cell signal transduction with delay. Zbl 1356.35265
Levy, Chris; Iron, David
4
2015
Dynamics and stability of a three-dimensional model of cell signal transduction. Zbl 1283.35151
Levy, Chris; Iron, David
4
2013
Stability of asymmetric spike solutions to the Gierer-Meinhardt system. Zbl 1163.37337
Iron, D.; Rumsey, J.
3
2007
Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore
3
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.
2
2015
Model of cell signal transduction in a three-dimensional domain. Zbl 1232.92045
Levy, Chris; Iron, David
2
2011
A model of cell surface receptor aggregation. Zbl 1370.92026
Iron, D.; Rumsey, J.
1
2017
The dynamics of boundary spikes for a nonlocal reaction-diffusion model. Zbl 0971.92002
Iron, D.; Ward, M. J.
1
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
1
2008
Stability of curved interfaces in the perturbed two-dimensional Allen – Cahn system. Zbl 1184.35021
Iron, David; Kolokolonikov, Theodore; Rumsey, John; Wei, Juncheng
1
2009
Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore
3
2020
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
16
2019
A model of cell surface receptor aggregation. Zbl 1370.92026
Iron, D.; Rumsey, J.
1
2017
Dynamics and stability of a three-dimensional model of cell signal transduction with delay. Zbl 1356.35265
Levy, Chris; Iron, David
4
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.
2
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
8
2014
Cortical geometry may influence placement of interface between Par protein domains in early Caenorhabditis elegans embryos. Zbl 1397.92084
Dawes, Adriana T.; Iron, David
5
2013
Dynamics and stability of a three-dimensional model of cell signal transduction. Zbl 1283.35151
Levy, Chris; Iron, David
4
2013
Model of cell signal transduction in a three-dimensional domain. Zbl 1232.92045
Levy, Chris; Iron, David
2
2011
Stability of curved interfaces in the perturbed two-dimensional Allen – Cahn system. Zbl 1184.35021
Iron, David; Kolokolonikov, Theodore; Rumsey, John; Wei, Juncheng
1
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
1
2008
Stability of asymmetric spike solutions to the Gierer-Meinhardt system. Zbl 1163.37337
Iron, D.; Rumsey, J.
3
2007
Stability analysis of Turing patterns generated by the Schnakenberg model. Zbl 1057.92011
Iron, David; Wei, Juncheng; Winter, Matthias
50
2004
Destabilization of fronts in a class of bistable systems. Zbl 1063.35023
Doelman, Arjen; Iron, David; Nishiura, Yasumasa
6
2004
The stability and dynamics of hot-spot solutions to two one-dimensional microwave heating models. Zbl 1050.35008
Iron, David; Ward, Michael J.
5
2004
The dynamics of multispike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 1019.35016
Iron, David; Ward, Michael J.
34
2002
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
102
2001
Spike pinning for the Gierer-Meinhardt model. Zbl 0979.35142
Iron, David; Ward, Michael J.
4
2001
A metastable spike solution for a nonlocal reaction-diffusion model. Zbl 0956.35011
Iron, David; Ward, Michael J.
20
2000
The dynamics of boundary spikes for a nonlocal reaction-diffusion model. Zbl 0971.92002
Iron, D.; Ward, M. J.
1
2000
all top 5

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
all top 5

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

Citations by Year