Journal of Mathematical Biology

, Volume 51, Issue 3, pp 355–366 | Cite as

Growth induced curve dynamics for filamentary micro-organisms

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Abstract.

The growth of filamentary micro-organisms is described in terms of the geometry of evolving planar curves in which the dynamics is determined by an underlying growth process. Steadily propagating tip shapes in two and three dimensions are found that are consistent with experimentally observed growth sequences.

Keywords

Growth Process Mathematical Biology Planar Curf Curve Dynamic Growth Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Alain Goriely
    • 1
  • György Károlyi
    • 1
    • 2
  • Michael Tabor
    • 1
  1. 1.Program in Applied Mathematics and Department of MathematicsUniversity of ArizonaUSA
  2. 2.Center for Applied Mathematics and Computational Physics and Department of Structural MechanicsBudapest University of Technology and EconomicsBudapestHungary

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