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Qualitative mathematical discussion of different evolutionary states in water transport systems of plants
Authors:Nils Empacher  Volker Mosbrugger  Anita Roth  Matthias Wolf  Arne Wunderlin
Institution:(1) Institut für Theoretische Physik, Teil II, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany;(2) Institut und Museum für Geologie und Paläontologie, Universität Tübingen, Sigwartstrasse 10, 72076 Tübingen, Germany;(3) Institut für Theoretische Physik und Synergetik, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany
Abstract:We shall present several qualitative mathematical models to describe the early evolution of water transport systems in plants. To perform this in a systematic way we apply methods which have been developed in phenomenological synergetics. These methods rest on the fact that it becomes possible to describe the macroscopic behavior of a complex system by a set of control and order parameters when they are suitably identified. Our presentation is addressed to community with interdisciplinary interests.
Keywords:Synergetics  dynamical systems  water transport  evolution  stele
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