Free Access
Issue
Math. Model. Nat. Phenom.
Volume 8, Number 4, 2013
Plant growth modelling
Page(s) 62 - 79
DOI https://doi.org/10.1051/mmnp/20138405
Published online 10 July 2013
  1. L.R. Band, D.M. Wells, A. Larrieu, J. Sun, A.M. Middleton. Root gravitropism is regulated by a transient lateral auxin gradient controlled by a tipping-point mechanism. PNAS, 109 (2012), no. 12, 4668–4473. [CrossRef] [Google Scholar]
  2. E.M. Bayer, R.S. Smith, T. Mandel, N. Nakayama, M. Sauer, P. Prusinkiewicz, C. Kuhlemeier. Integration of transport-based models for phyllotaxis and midvein formation. Genes Dev., 23 (2009), no. 3, 373–384. [CrossRef] [PubMed] [Google Scholar]
  3. N. Bessonov, V. Volpert. Dynamic models of plant growth. Publibook, Paris, 2006. [Google Scholar]
  4. N. Bessonov, N. Morozova, V. Volpert. Modelling of branching patterns in plants. Bull. Math. Biology, 70 (2008), no. 3, 868–893. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  5. G.D. Bilsborough, A. Runions, M. Barkoulas, H.W. Jenkins, A. Hasson, C. Galinha, P. Laufs, A. Hay, P. Prusinkiewicz, M. Tsiantis. Model for the regulation of Arabidopsis thaliana leaf margin development. PNAS, 108 (2011), no. 8, 3424–3429. [CrossRef] [Google Scholar]
  6. I. Blilou, J. Xu, M. Wildwater, V. Willemsen, I. Paponov, J. Friml, R. Heidstra, M. Aida, K. Palme, B. Scheres. The PIN auxin efflux facilitator network controls growth and patterning in Arabidopsis roots. Nature, 433(7021) (2005), 39–44. [CrossRef] [PubMed] [Google Scholar]
  7. V. Brukhin, N. Morozova. Plant growth and development - basic knowledge and current views. Math. Model. Nat. Phenom., 6 (2011), no. 2, 1–53. [CrossRef] [EDP Sciences] [Google Scholar]
  8. G. Brunoud, D.M. Wells, M. Oliva, A. Larrieu, V. Mirabet, A.H. Burrow, T. Beeckman, S. Kepinski, J. Traas, M.J. Bennett, T. Vernoux. A novel sensor to map auxin response and distribution at high spatio-temporal resolution. Nature, 482(7383) (2012), 103–106. [CrossRef] [PubMed] [Google Scholar]
  9. I. De Smet, T. Tetsumura, B. De Rybel, N.F. Frey, L. Laplaze, I. Casimiro, R. Swarup, M. Naudts, S. Vanneste, D. Audenaert, D. Inze, M.J. Bennett, T. Beeckman. Auxin-dependent regulation of lateral root positioning in the basal meristem of Arabidopsis. Development, 134 (2007), no. 4, 681–690. [CrossRef] [PubMed] [Google Scholar]
  10. L. Dolan, K. Janmaat, V. Willemsen, P. Linstead, S. Poethig, K. Roberts, B. Scheres. Cellular organisation of the Arabidopsis thaliana root. Development, 119 (1993), 71–84. [PubMed] [Google Scholar]
  11. L. Forest, J. Demongeot. Cellular modelling of secondary radial growth in conifer trees: application to Pinus radiata (D Don). Bull. Math. Biol. 68 (2006), 753–784. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  12. M.G. Heisler, C. Ohno, P. Das, P. Sieber, G.V. Reddy, J.A. Long, E.M. Meyerowitz. Patterns of auxin transport and gene expression during primordium development revealed by live imaging of the Arabidopsis inflorescence meristem. Curr Biol., 2005. 15(21), 1899–1911. [CrossRef] [PubMed] [Google Scholar]
  13. K. Jiang, L.J. Feldman. Regulation of root apical meristem development. Ann. Rev. Cell Dev. Biol., 21 (2005), 485–509. [CrossRef] [Google Scholar]
  14. V.A. Grieneisen, J. Xu, A.F. Marle, P. Hogeweg, B. Scheres. Auxin transport is sufficient to generate a maximum and gradient guiding root growth. Nature 2007, 449(7165), 1008–1013. [CrossRef] [PubMed] [Google Scholar]
  15. H. Jonsson, M.G. Heisler, B.E. Shapiro, E.M. Meyerowitz, E. Mjolsness. An auxin-driven polarized transport model for phyllotaxis. PNAS, 103 (2006), no. 5, 1633–1638. [Google Scholar]
  16. E.M. Kramer. A mathematical model of pattern formation in the vascular cambium of trees. J. Theor. Biol. (2002) 216, 147–158. [CrossRef] [PubMed] [Google Scholar]
  17. P. Krupinski, H. Jonsson. Modeling auxin-regulated development. Cold Spring Harb Perspect Biol., 2010 Feb. 2(2): a001560. [CrossRef] [PubMed] [Google Scholar]
  18. M. Lucas, L. Laplaze, M.J. Bennett. Plant systems biology: network matters. Plant Cell Environ., 34 (2011), no. 4, 535–353. [CrossRef] [PubMed] [Google Scholar]
  19. R.M. Merks, M. Guravage, D. Inze, G.T. Beemster. VirtualLeaf: an open-source framework for cell-based modeling of plant tissue growth and development. Plant Physiol., 155 (2011), no. 2, 656–666. [CrossRef] [PubMed] [Google Scholar]
  20. V.V. Mironova, N.A. Omelyanchuk, E.S. Novoselova, A.V. Doroshkov, F.V. Kazantsev, A.V. Kochetov, N.A. Kolchanov, E. Mjolsness, V.A. Likhoshvai. Combined in silico/in vivo analysis of mechanisms providing for root apical meristem self-organization and maintenance. Ann. Bot., 110 (2012), no. 2, 349–360. [CrossRef] [PubMed] [Google Scholar]
  21. V.V. Mironova, N.A. Omelyanchuk, G. Yosiphon, S.I. Fadeev, N.A. Kolchanov, E. Mjolsness, V.A. Likhoshvai. A plausible mechanism for auxin patterning along the developing root. BMC Syst. Biol., 2010 Jul 21;4:98. [CrossRef] [PubMed] [Google Scholar]
  22. M.A. Moreno-Risueno, J.M. Van Norman , A. Moreno, J. Zhang, S.E. Ahnert, P.N. Benfey. Oscillating gene expression determines competence for periodic Arabidopsis root branching. Science, 329 (2010) no. 5997, 1306–1311. [CrossRef] [PubMed] [Google Scholar]
  23. M. Sauer, J. Balla, C. Luschnig, J. Wisniewska, V. Reinohl, J. Friml, E. Benkova. Canalization of auxin flow by Aux/IAA-ARF-dependent feedback regulation of PIN polarity. Genes & Dev., 20 (2006), 2902–2911. [CrossRef] [PubMed] [Google Scholar]
  24. P. Sahlin, B. Soderberg, H. Jonsson. Regulated transport as a mechanism for pattern generation: capabilities for phyllotaxis and beyond. J. Theor. Biol., 258 (2009), no. 1, 60–70. [CrossRef] [PubMed] [Google Scholar]
  25. J. Szymanowska-Pulka, I. Potocka, J. Karczewski, K. Jiang, J. Nakielski, L.J. Feldman. Principal growth directions in development of the lateral root in Arabidopsis thaliana. Ann. Bot., 110 (2012), no. 2, 491–501. [CrossRef] [PubMed] [Google Scholar]
  26. J. Szymanowska-Pulka. Application of a changing field of growth rates to a description of root apex formation. J. Theor. Biol., 247 (2007), no. 4, 650–656. [CrossRef] [PubMed] [Google Scholar]
  27. A. Vieten, S. Vanneste, J. Wisniewska, E. Benkova, R. Benjamins, T. Beeckman, C. Luschnig, J. Friml. Functional redundancy of PIN proteins is accompanied by auxin dependent cross-regulation of PIN expression. Development, 132 (2005), no. 20, 4521–4531. [CrossRef] [PubMed] [Google Scholar]
  28. L. Williams, J.C. Fletcher. Stem cell regulation in the Arabidopsis shoot apical meristem. Curr. Opin. Plant Biol., 8 (2005), no. 6, 582–586. [CrossRef] [PubMed] [Google Scholar]

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