Skip to main content

Visualizing two- and three-dimensional models of meristematic growth

  • Conference paper
  • First Online:
Book cover Graph-Theoretic Concepts in Computer Science (WG 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1017))

Included in the following conference series:

  • 177 Accesses

Abstract

The role that cell division patterns play on the shape of an organism is quite significant. The relationship between such division patterns and meristem development has been extensively studied in the literature. This paper presents several two- and three-dimensional map and cellwork L-system models that simulate patterns described by Lück and Lück [11]. The advantage of these models over their predecessors is that, through the use of a geometric model to determine cell shape, they can be translated into a visual form quite easily in order to animate (and validate) the growth of the meristem.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. J. M. de Boer. Analysis and computer generation of division patterns in cell layers using developmental algorithms. PhD thesis, University of Utrecht, the Netherlands, 1989.

    Google Scholar 

  2. M. J. M. de Boer, F. D. Fracchia, and P. Prusinkiewicz. A model for cellular development in morphogenetic fields. In G. Rozenberg and A. Salomaa, editors, Lindenmayer Systems. Impacts on Theoretical Computer Science, Computer Graphics, and Developmental Biology, pages 351–370. Springer-Verlag, Berlin, 1992.

    Google Scholar 

  3. F. D. Fracchia. Integrating lineage and interaction for the visualization of cellular structures. In Fifth International Workshop on Graph Grammars and Their Application to Computer Science, pages 241–246, 1994.

    Google Scholar 

  4. F. D. Fracchia and P. Prusinkiewicz. Physically-based graphical interpretation of marker cellwork L-systems. In H. Ehrig, H. J. Kreowski, and G. Rozenberg, editors, Graph grammars and their application to computer science; Fourth International Workshop, Lecture Notes in Computer Science 532, pages 363–377. Springer-Verlag, Berlin, 1991.

    Google Scholar 

  5. F. D. Fracchia, P. Prusinkiewicz, and M. J. M. de Boer. Animation of the development of multicellular structures. In N. Magnenat-Thalmann and D. Thalmann, editors, Computer Animation '90, pages 3–18, Tokyo, 1990. Springer-Verlag.

    Google Scholar 

  6. A. Lindenmayer. Models for plant tissue development with cell division orientation regulated by preprophase bands of microtubules. Differentiation, 26:1–10, 1984.

    Google Scholar 

  7. A. Lindenmayer and G. Rozenberg. Parallel generation of maps: Developmental systems for cell layers. In V. Claus, H. Ehrig, and G. Rozenberg, editors, Graph grammars and their application to computer science; First International Workshop, Lecture Notes in Computer Science 73, pages 301–316. Springer-Verlag, Berlin, 1979.

    Google Scholar 

  8. H. B. Lück and J. Lück. De la theorie des automates vers la phyllotaxie. In B. Millet, editor, Mouvements, rythmes et irritabilité chez les végétaux, Hommage à Lucien Baillaud, pages 85–94. Université de Franche-Comté, BesanÇon, 1993.

    Google Scholar 

  9. J. Lück, A. Lindenmayer, and H. B. Lück. Models for cell tetrads and clones in meristematic cell layers. Botanical Gazette, 149:1127–141, 1988.

    Google Scholar 

  10. J. Lück and H. B. Lück. Double-wall cellwork systems for plant meristems. In H. Ehrig, H. J. Kreowski, and G. Rozenberg, editors, Graph grammars and their application to computer science; Fourth International Workshop, Lecture Notes in Computer Science 532, pages 564–581. Springer-Verlag, Berlin, 1991.

    Google Scholar 

  11. J. Lück and H. B. Lück. Parallel rewriting dw-cellwork systems for plant development. In J. Demongeot and V. Capasso, editors, Mathematics applied to biology and medicine, pages 461–466. Wuerz Publishing Ltd., Winnipeg, 1992.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Manfred Nagl

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fracchia, F.D. (1995). Visualizing two- and three-dimensional models of meristematic growth. In: Nagl, M. (eds) Graph-Theoretic Concepts in Computer Science. WG 1995. Lecture Notes in Computer Science, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60618-1_70

Download citation

  • DOI: https://doi.org/10.1007/3-540-60618-1_70

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60618-5

  • Online ISBN: 978-3-540-48487-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics