Research Article
Statistical Properties of Cell Topology and Geometry in a Tissue-Growth Model
@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
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 .