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Modeling and Simulation of Hairy Root Growth

Peter Bastian, Jenny Bauer, Andrés Chavarría-Krauser, Christian Engwer, Willi Jäger, Sven Marnach, Mariya Ptashnyk, Bernhard Wetterauer
Mathematics-Key Technology for the Future: Joint Projects Between Universities and Industry 2004-2007, Springer, Berlin, page 101--115 - 2008
A multiscale approach is presented to model growth of hairy roots. On the macroscopic scale, a continuous model is derived, which includes growth and nutrient transport. Water transport is considered on the microscopic scale. A Discontinuous Galerkin scheme for complex geometries is used to compute the permeability of root bulks. This permeability constitutes the linkage between microand macroscopic scale. The models are applied then to describe shaker cultures of hairy roots and simulations are compared to measurements.

Références BibTex

@InCollection{BBCEJMPW08,
  author       = {Bastian, P. and Bauer, J. and Chavarr\'{\i}a-Krauser, A. and Engwer, C. and J{\"a}ger, W. and Marnach, S. and Ptashnyk, M. and Wetterauer, B.},
  title        = {Modeling and Simulation of Hairy Root Growth},
  booktitle    = {Mathematics-Key Technology for the Future: Joint Projects Between Universities and Industry 2004-2007},
  chapter      = {3},
  pages        = {101--115},
  year         = {2008},
  editor       = {Hans-Joachim Krebs und Willi J?ger},
  publisher    = {Springer, Berlin},
  note         = {dx.doi.org/10.1007/978-3-540-77203-3_8},
  url          = \{/2008/BBCEJMPW08},
}

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