Download Branching in Nature: Dynamics and Morphogenesis of Branching by Y. Couder (auth.), Vincent Fleury, Jean-François Gouyet, PDF

By Y. Couder (auth.), Vincent Fleury, Jean-François Gouyet, Marc Léonetti (eds.)

There's expanding proof that branching methods in nature continue by means of comparable mechanisms in lots of likely diverse platforms. this is often the 1st entire booklet facing this subject - it encompasses all fields of technological know-how, investigating branching morphogenesis and trend formation in cells, crops, organs and river networks to call yet a number of. well known foreign researchers have contributed to this quantity and brought care that the lectures stay available to graduate scholars and nonspecialist researchers.

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Additional resources for Branching in Nature: Dynamics and Morphogenesis of Branching Structures, from Cell to River Networks

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8a), the resulting pattern is isotropie. It forms a mesh-like network, the fractures being connected to each other at points where they meet at right angles. Their typical distance is scaled on the thiekness of the superficiallayer (Groisman and Kaplan 1994). This is simply related to the fact that regions of the sampIe separated by a distance of a few times the layer's thickness behave independently due to the frietion on the substrate. The main characteristic, the reconnection of the fractures, is directly linked with the tensorial character of the stress field.

In Fucus the meristematic activity occurs along the whole periphery of the blade. In contrast, in ferns, there is a singular localised apical meristem at the tip of the leaf. These two types of growth can thus be considered as isotropic and singular at the tip respectively. It is striking that the resulting instabilities and structures are similar to those observed in the above described physical systems. A three-dimensional tip dominated growth is also observed at the apex of sterns of superior plants.

Sekerka, J. Appl. Phys. 35 (1964) 444-45l. T. Nelson and N. DengIer, The Plant Gell 9 (1997) 1121-1135. 1. Pauchard, F. Parisse and C. Allain, Phys. Rev. E 59 (1999) 3737-3740. P. Pelce, Dynamies of Gurved Fronts (Academic Press, San Diego, 1988). S. D. Tomos, Ann. Bot. 77 (1996) 657-665. Y. Pomeau and M. Ben Amar, Dendritic growth and related topics, in Solids far from equilibrium, edited by C. Godreche (Cambridge University Press, 1992). W. Z. Cummins, Phys. Rev. Lett. 64 (1990) 3038-304l. M.

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