The leaf venation as formed in a tensorial field

  • Y. Couder
  • L. Pauchard
  • C. Allain
  • M. Adda-Bedia
  • S. Douady

DOI: 10.1140/epjb/e2002-00211-1

Cite this article as:
Couder, Y., Pauchard, L., Allain, C. et al. Eur. Phys. J. B (2002) 28: 135. doi:10.1140/epjb/e2002-00211-1

Abstract:

The veins of plant leaves exhibit a large variety of morphologies. They are often thought to result from their growth in a concentration scalar field. It is shown here that the topology of these patterns rather corresponds to what is expected from growth in a tensorial stress field. This is demonstrated by analogic experiments performed on crack formation in gel films where many characteristic venation patterns, of both dicotyledons and monocotyledons, were reproduced. This suggests, for the origin of the veins formation, a set of hypotheses which is new but supported by known physiological data.

PACS. 87.18.La Morphogenesis – 62.20.Mk Fatigue, brittleness, fracture, and cracks – 05.45.Df Fractals 

Copyright information

© EDP Sciences, Springer-Verlag 2002

Authors and Affiliations

  • Y. Couder
    • 1
  • L. Pauchard
    • 2
  • C. Allain
    • 2
  • M. Adda-Bedia
    • 1
  • S. Douady
    • 1
  1. 1.Laboratoire de Physique Statistique, École Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, FranceFR
  2. 2.Laboratoire FAST, Campus Universitaire, 91405 Orsay Cedex, FranceFR