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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.

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Authors and Affiliations

  1. Program in Applied Mathematics and Department of Mathematics, University of Arizona, AZ, 85721, USA

    Alain Goriely, György Károlyi & Michael Tabor

  2. Center for Applied Mathematics and Computational Physics and Department of Structural Mechanics, Budapest University of Technology and Economics, Műegyetem rkp. 3., 1521, Budapest, Hungary

    György Károlyi

Authors
  1. Alain Goriely
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  2. György Károlyi
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  3. Michael Tabor
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Correspondence to Alain Goriely.

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Goriely, A., Károlyi, G. & Tabor, M. Growth induced curve dynamics for filamentary micro-organisms. J. Math. Biol. 51, 355–366 (2005). https://doi.org/10.1007/s00285-005-0328-4

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  • DOI: https://doi.org/10.1007/s00285-005-0328-4

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