Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Statistical Properties of Cell Topology and Geometry in a Tissue-Growth Model

Download
539 downloads
  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_97,
        author={Patrik Sahlin and Olivier Hamant and Henrik J\o{}nsson},
        title={Statistical Properties of Cell Topology and Geometry in a Tissue-Growth Model},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={},
        doi={10.1007/978-3-642-02466-5_97}
    }
    
  • Patrik Sahlin
    Olivier Hamant
    Henrik Jönsson
    Year: 2012
    Statistical Properties of Cell Topology and Geometry in a Tissue-Growth Model
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_97
Patrik Sahlin1,*, Olivier Hamant2,*, Henrik Jönsson1,*
  • 1: Lund University
  • 2: Université de Lyon
*Contact email: sahlin@thep.lu.se, Olivier.Hamant@ens-lyon.fr, henrik@thep.lu.se

Abstract

Statistical properties of cell topologies in two-dimensional tissues have recently been suggested to be a consequence of cell divisions. Different rules for the positioning of new walls in plants have been proposed, where e.g. Errara’s rule state that new walls are added with the shortest possible path dividing the mother cell’s volume into two equal parts. Here, we show that for an isotropically growing tissue Errara’s rule results in the correct distributions of number of cell neighbors as well as cellular geometries, in contrast to a random division rule. Further we show that wall mechanics constrain the isotropic growth such that the resulting cell shape distributions more closely agree with experimental data extracted from the shoot apex of .