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A Morpho-Elastic Model of Hyphal Tip Growth in Filamentous Organisms

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IUTAM Symposium on Cellular, Molecular and Tissue Mechanics

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 16))

Abstract

The growth of filamentous cells is modeled through the use of exact, nonlinear, elasticity theory for shells and membranes. The biomechanical model is able to capture the generic features of growth of a broad array of cells including actinomycetes, fungi, and root hairs. It also provides the means of studying the effects of external surface stresses. The growth mechanism is modeled by a process of incremental elastic growth in which the cell wall responds elastically to the continuous addition of new material.

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Acknowledgments

The authors would like to thank Prof. N. P. Money and J. Dumais for helpful discussions. This material is based in part upon work supported by the National Science Foundation under grant No. DMS-0604704 (A.G. and M.T.).

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Authors and Affiliations

  1. Program in Applied Mathematics and Department of Mathematics, University of Arizona, Building #89, Tucson, AZ, 85721, USA

    A. Goriely & M. Tabor

  2. Department of Mathematics, James Madison University, Harrisonburg, VA, 22807, USA

    A. Tongen

Authors
  1. A. Goriely
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  2. M. Tabor
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  3. A. Tongen
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Corresponding author

Correspondence to A. Goriely .

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Editors and Affiliations

  1. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Krishna Garikipati

  2. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Ellen M. Arruda

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Goriely, A., Tabor, M., Tongen, A. (2010). A Morpho-Elastic Model of Hyphal Tip Growth in Filamentous Organisms. In: Garikipati, K., Arruda, E. (eds) IUTAM Symposium on Cellular, Molecular and Tissue Mechanics. IUTAM Bookseries, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3348-2_21

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