Speaker
Description
How morphogenesis at a tissue level depends on cellular properties is an active direction of research. We focus on mechanical models of growing plant tissues, where cells are pressurized, a rigid cell wall resists, and the resulting elastic strain or stress generates growth in the walls. In order to establish links between microscopic and macroscopic properties, we adopt here the results of a multiscale analysis that allows us to rigorously derive by homogenization the corresponding macroscopic tissue scale model. Here we consider isotropic cell walls in two dimensions and study the effect of cell shape and cell packing on tissue-level growth. In addition to the homogenized elasticity tensor, particular attention is given to the rôle of the tissue level second order tensor, which describes how turgor pressure in cells contributes to macroscopic stress. We use the macroscopic model to make predictions about several configurations of interest, both in stress-based and strain-based growth hypotheses.
Bibliography
@article{doi:10.1137/23M1553315,
author = {Boudaoud, Arezki and Kiss, Annamaria and Ptashnyk, Mariya},
title = {Multiscale Modeling and Analysis of Growth of Plant Tissues},
journal = {SIAM Journal on Applied Mathematics},
volume = {83},
number = {6},
pages = {2354-2389},
year = {2023},
doi = {10.1137/23M1553315},
URL = {https://doi.org/10.1137/23M1553315}
}
