A stochastic approach to phyllotactic patterns analysis

Journal of Theoretical Biology

Volumn 238, Issue 1, 2006, Pages 52-59

  Jeune, Bernard ^a   Barabé, Denis ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Model; Mutant; Phyllotaxis; Shoot apex; Spiral

Indexed keywords

GROWTH MODELING; RICE; SHOOT GROWTH;

ARTICLE; GENE CONTROL; MATHEMATICAL COMPUTING; PLANT CELL; PLANT LEAF; PRIMORDIUM; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; STATISTICAL ANALYSIS;

ARABIDOPSIS; COMPUTER SIMULATION; GENE EXPRESSION REGULATION, PLANT; GENES, PLANT; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MORPHOGENESIS; MUTATION; PHENOTYPE; PLANT LEAVES; PLANT SHOOTS; PLANTS; TERMINOLOGY;

EID: 28444448790     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2005.05.036     Document Type: Article

References (21)

1. D. Barabé, and B. Jeune The use of entropy to analyse phyllotactic mutants: a theoretical analysis Plant Cell 16 2004 804 806
2. J.D. Callos, and J.I. Medford Organ positions and pattern formation in the shoot Plant J. 6 1994 1 7
3. Y. Couder, and S. Douady Rational and irrational angles in phyllotaxis A. Carbone M. Gromov P. Prusinkiewicz Pattern Formation in Biology, Vision and Dynamics 2000 World Scientific Singapore 145 159
4. P.B. Green, C.R. Steele, and S.C. Rennich How plants produce pattern. A review and a proposal that undulating field behaviour is the mechanism R.V. Jean D. Barabé Symmetry in Plants 1998 World Scientific Singapore 359 392
5. J. Guerreiro, and F. Rothen Universal Results from a Simple Model of Phyllotaxis R.V. Jean D. Barabé Symmetry in Plants 1998 World Scientific Singapore 571 600
6. J.-I. Itoh, H. Kitano, M. Matsuoka, and Y. Nagato SHOOT ORGANIZATION genes regulate shoot apical meristem organization and the pattern of leaf primordium initiation in Rice Plant Cell 12 2000 2161 2174
7. D. Jackson, and S. Hake Control of phyllotaxy in maize by the abphyl1 gene Development 126 1999 315 329
8. R.V. Jean Phyllotaxis: A Systemic Study in Plant Morphogenesis 1994 Cambridge University Press Cambridge, New York
9. R.V. Jean D. Barabé Symmetry in Plants 1998 World Scientific Singapore
10. R.V. Jean, and D. Barabé Phyllotaxis - The way ahead, a view on open questions and directions of research J. Biol. Syst. 6 1998 95 126
11. B. Jeune, and D. Barabé Statistical recognition of random and regular phyllotactic patterns Ann. Bot. 94 2004 913 917
12. S. Karmakar, and E.S. Key Compositions of random Möbius transformations Stochastic Anal. Appl. 22 2004 525 557
13. S. King, F. Beck, and U. Lüttge On the mystery of the golden angle in phyllotaxis Plant Cell Environ. 27 2004 685 695
14. B.K. Kirchoff Shape matters: Hofmeister's rule, primordium shape, and flower orientation Int. J. Plant Sci. 164 2003 505 517
15. A.-J. Koch, G. Bernasconi, and F. Rothen Phyllotaxis as a geometrical and dynamical system R.V. Jean D. Barabé Symmetry in Plants 1998 World Scientific Singapore 459 486
16. C. Kuhlemeier, and D. Reinhardt Auxin and phyllotaxis Trends Plant Sci. 6 2001 187 189
17. C. Marzec Phyllotaxis as a dissipative structure Math. Modelling 8 1987 740 745
18. Rahman, N.A., 1968. A Course in Theoretical Statistics. Charles Griffin & Company, London, Reprinted in 1978.
19. D. Reinhardt, and C. Kuhlemeier Phyllotaxis in higher plants M.T. McManus B.E. Veit Meristematic Tissues in Plant Growth and Development 2001 CRC Press Boca Raton, FL 172 212
20. R. Rutishauzer Plastochrone ratio and leaf arc as parameters of a quantitative phyllotaxis analysis in vascular plants R.V. Jean D. Barabé Symmetry in Plants 1998 World Scientific Singapore 171 212
21. A.M. Selvam Quasicrystalline pattern formation in fluid substrates and phyllotaxis R.V. Jean D. Barabé Symmetry in Plants 1998 World Scientific Singapore 795 809