The leaf venation as formed in a tensorial field.

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

Y. Couder, L. Pauchard, C. Allain, M. Adda-Bedia  and S. Douady, A constitutive property of the local organization of leaf venation networks, Eur. Phys. Jou. B 28, 135-138 (2002).

Abstract
The veins of plant leaves exhibit a large variety of morphologies 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, could be reproduced.  This suggests, for the origin of the veins formation, a set of hypotheses which is new but supported by known physiological data.

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