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A Combinatorial Model of Phyllotaxis Perturbations in Arabidopsis thaliana

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Combinatorial Pattern Matching (CPM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6661))

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Abstract

Phyllotaxis is the geometric arrangement of organs in plants, and is known to be highly regular. However, experimental data (from Arabidopsis thaliana) show that this regularity is in fact subject to specific patterns of permutations. In this paper we introduce a model for these patterns, as well as algorithms designed to identify these patterns in noisy experimental data. These algorithms thus incorporate a denoising step which is based on Gaussian-like distributions for circular data for which a common dispersion parameter has been previously estimated. The application of the proposed algorithms allows us to confirm the plausibility of the proposed model, and to characterize the patterns observed in a specific mutant. The algorithms are available in the OpenAlea software platform for plant modelling [10].

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References

  1. Adler, I., Barabé, D., Jean, R.V.: A History of the Study of Phyllotaxis. Annals of Botany 80(3), 231–244 (1997)

    Article  Google Scholar 

  2. Couder, Y.: Initial transitions, order and disorder in phyllotactic patterns: the ontogeny of Helianthus annuus. A case study. Acta Societatis Botanicorum Poloniae 67, 129–150 (1998)

    Article  Google Scholar 

  3. Douady, S., Couder, Y.: Phyllotaxis as a self organizing process: I,II,III. Journal of Theoretical Biology 178, 255–312 (1996)

    Article  Google Scholar 

  4. Jeune, B., Barabé, J.: Statistical Recognition of Random and Regular Phyllotactic Patterns. Annals of Botany 94, 913–917 (2004)

    Article  Google Scholar 

  5. Jeune, B., Barabé, J.: A stochastic approach to phyllotactic pattern analysis. Journal of Theoretical Biology 238, 52–59 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kuhlemeier, C.: Phyllotaxis. Trends in Plant Science 12, 143–150 (2007)

    Article  Google Scholar 

  7. Mardia, K.V., Jupp, P.E.: Directional Statistics. John Wiley & Sons, Chichester (2000)

    MATH  Google Scholar 

  8. Parida, L.: Pattern Discovery in Bioinformatics: Theory & Algorithms. CRC Mathematical Computational Biology Series. Chapman & Hall, Sydney (2008)

    MATH  Google Scholar 

  9. Refahi, Y., Guédon, Y., Besnard, F., Farcot, E., Godin, C., Vernoux, T.: Analyzing perturbations in phyllotaxis of Arabidopsis thaliana. In: 6th International Workshop on Functional-Structural Plant Models, Davis, California, pp. 170–172 (2010)

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  10. http://openalea.gforge.inria.fr/doc/vplants/phyllotaxis_analysis/doc/_build/html/contents.html

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Refahi, Y., Farcot, E., Guédon, Y., Besnard, F., Vernoux, T., Godin, C. (2011). A Combinatorial Model of Phyllotaxis Perturbations in Arabidopsis thaliana . In: Giancarlo, R., Manzini, G. (eds) Combinatorial Pattern Matching. CPM 2011. Lecture Notes in Computer Science, vol 6661. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21458-5_28

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  • DOI: https://doi.org/10.1007/978-3-642-21458-5_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21457-8

  • Online ISBN: 978-3-642-21458-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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