Publications and Preprints

  1. David Iron, Michael Ward. The dynamics of boundary spikes for a non-local reaction diffusion model. Europ. Journal of Applied Math, Vol. 11, No. 5,(2000) pp. 491-514
  2. David Iron, Michael Ward. A metastable spike solution for a non-local reaction-diffusion model. SIAM Journal of Applied Mathematics. 60, No. 3,(2000), pp. 778-802.
  3. David Iron, Michael Ward, Jungcheng Wei. The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Physica D. Vol 150, (2001), pp. 25-62.
  4. David Iron, Michael Ward. Spike Pinning for the Gierer-Meinhardt model. Journal of Mathematics and Computers in Simulation, Vol. 55, (2001), pp. 419-431.
  5. David Iron, Michael Ward. The dynamics of multi-spike solutions to the one-dimensional Gierer-Meinhardt model. SIAM Journal of Applied Math, Vol. 62, No. 6, (2002), pp. 1924-1951.
  6. The Artis Problem with Chris Budd, Mark Peletier, Geertje Hek, Andre Leger, Edi Cahyono, Ignacio Gnerra, Paul Toasa and JF Williams, in Proceedings of the Forty-Second European Study Group with Industry.(2002)
  7. Gadi Rothenberg, Hans Boelens, David Iron and Johan Westerhuis, Monitoring the Future of Chemical Reactions, Chim. Oggi. - Chemistry today, 2003, 21, 80-83.
  8. Gadi Rothenberg, Hans Boelens, David Iron and Johan Westerhuis, Optimal On-line Sampling of Parallel Reactions:General Concept and a Specific Spectroscopic Example, Catalysis Today, 2003, 81, 359-367.
  9. Gadi Rothenberg, Hans Boelens, David Iron and Johan Westerhuis, Tracking Chemical Kinetics in High-Throughput Systems, Chem. Eur. J., 2003, 9, 3876-3881.
  10. Gadi Rothenberg, Hans Boelens, David Iron and Johan Westerhuis, Kinetic Studies of Cascade Reactions in High Throughput Systems, Anal. Chem., 2003, 75, 6701-6707
  11. D. Iron, M. J. Ward, The Stability and Dynamics of Hot-Spot Solutions for a One-Dimensional Microwave Heating Model, Analysis and Applications, , Vol. 2, No. 1,(2004), pp. 21--70.
  12. D. Iron, J. Wei, M. Winter, Stability Analysis of Turing Patterns Generated by the Schnakenberg Model, J. Math Biology, Volume 49 (2004), no. 4, 358-390
  13. Arjen Doelman, David Iron and Yasumasa Nishiura, Destabilization of fronts in a class of bi-stable systems, SIAM J. Mathematical Anal., Vol 35 (2004), No 6. pp. 1420-1450.
  14. Johan Westerhuis, Hans Boelens, David Iron and Gadi Rothenberg, Model Selection and Optimal Sampling in High-Throughput Experimentation, Anal. Chem., 2004, 76, 3171-3178.
  15. A. Doelman, D. Iron, Y. Nishiura (2005) Edge bifurcations in singularly perturbed reaction-diffusion equations: a case study, pp 783-788 in `EQUADIFF03 International Conference on Differential Equations', (F. Dumortier, H. Broer, J. Mahwin, A. Vanderbauwhede, S. Verduyn Lunel eds.), World Scientific, Singapore etc.
  16. A. Syed,H. Theisen,B. Nguyen, T Lukasovich, J. Purcell,G. Srivastava,D. Iron, K. Gaudenz,Q. Nie, Q., F. Wa n, M. Waterman, J.L. Marsh, Pattern of Dpp morphogen expression maintained by Armadillo/TC D mediated repression in response to WG signaling,PLoS One 2(1)(2007) e142
  17. D. Iron, J. Rumsey,Stability of asymmetric spike solutions to the Gierer-Meinhardt system, Chaos (Vol.17, No.3)(2007)
  18. D. Iron, A. Syed, H. Theisen, T. Lukavsovich, M. Naghibi, J. Marsh, F. Wan, Q. Nie,The roll of feeback in the formation of morphogen territories,MBE (Vol. 5, No 2)(2008)
  19. D. Iron, T. Kolokolncov, J. Rumsey, Stability of curved interfaces in the perturbed two-dimensional Allen-Cahn system, SIAM J. Appl. Math., (Vol. 69, No. 5)(2009)
  20. B P. Pellerin, D. Buszard, D. Iron, A theory of blossom thinning to consider maximum annual flower bud numbers on biennial apple trees, HortScienct, 46(1):40-42, (2011)
  21. S. Adl, D. Iron, T. Kolokolnikov, A threshold ratio of organic to conventional agriculture causes recurrent pathogen outbreaks in organic agriculture, Science of The Totoal Environment, 409 (11):2192-2197, (2011)
  22. A. Alcoldado, T. Kolokolnikov, D. Iron, Instability threshold in the microwave heating model with exponential non-linearity, EJAM, 22, pp 187-219, (2011)
  23. C. Levy, D. Iron, Model of cell signal transduction in a three-dimensional domain, J. Math. Bio, 63, pp 831-854, (2011)
  24. A. Dawes, D. Iron, Cortical geometry may influence placement of interface between Par protein domains in early Caenorhabditis elegans embryos, J. Theor. Bio.,333, pp 27-37, (2013)
  25. C. Levy, D. Iron, Dynamics and stability of a three-dimensional model of cell signal transduction, J. Math. Bio., 67, pp 1691-1728 (2014)
  26. D. Iron, J. Rumsey, M. J. Ward, J. Wei, Logarithmic Expansions and the Stability of Periodic Patterns of Localized Spots for Reaction Diffusion Systems in R2, J. Nonlinear Science, 24 (5), pp857-912, (2014)
  27. D. Iron, J. Rumsey, M. J. Ward, J. Wei, On accurately estimating stability thresholds for periodic spot patterns of reaction-diffusion systems in R2, EJAM, 26, pp 325-353, (2015)
  28. C. Levy, D. Iron, Dynamics and stability of a three-dimensional model of cell signal transduction with delay, Nonlinearity, 28 (7), pp 2515-2553, (2015)
  29. J. Rumsey, D. Iron, A model of cell surface receptor aggregation, Journal of Mathematical Biology, 75 (3), pp 705-731, (2017)
  30. J. Evers, D. Iron, T. Kolokolnikov, J. Rumsey, Agent-based model of the effect of globalization on inequality and class mobility, Physica D: Nonlinear Phenomena, 361, pp 35-41, (2017)
  31. Smith-Roberge, J., Iron, D., & Kolokolnikov, T. (2018). Pattern formation in bacterial colonies with density-dependent diffusion. European Journal of Applied Mathematics, 1-23. doi:10.1017/S0956792518000013
  32. Gai, C., Rumsey, J., & Kolokolnikov, T. (2019). Spike Dynamics in the Presence of Noise. SIAM Journal on Applied Dynamics Systems 19 (4), 2783-2802
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