Computational Algorithm for Some Problems with Variable Geometrical Structure

  • N. Bessonov
  • V. Volpert
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6260)


The work is devoted to the computational algorithm for a problem of plant growth. The plant is represented as a system of connected intervals corresponding to branches. We compute the concentration distributions inside the branches. The originality of the problem is that the geometry of the plant is not a priori given. It evolves in time depending on the concentrations of plant hormones found as a solution of the problem. New branches appear in the process of plant growth. The algorithm is adapted to an arbitrary plant structure and an arbitrary number of branches.


Plants branching variable structure computational algorithm 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • N. Bessonov
    • 1
  • V. Volpert
    • 2
  1. 1.Institute of Mechanical Engineering ProblemsSaint PetersburgRussia
  2. 2.Institut Camille JordanUMR 5208 CNRS, University Lyon 1VilleurbanneFrance

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