TY - JOUR
T1 - Multiscale Modeling and Analysis of Growth of Plant Tissues
AU - Boudaoud, Arezki
AU - Kiss, Annamaria
AU - Ptashnyk, Mariya
N1 - Funding Information:
\ast Received by the editors February 15, 2023; accepted for publication (in revised form) June 13, 2023; published electronically November 29, 2023. https://doi.org/10.1137/23M1553315 Funding: The work of the first author was supported by the French National Research Agency (ANR, grant ANR-17-CE20-0023-02 WALLMIME). \dagger LadHyX, CNRS, Ecole Polytechnique, IP Paris, Palaiseau, France (arezki.boudaoud@ polytechnique.edu). \ddagger RDP, ENS de Lyon, Claude Bernard University Lyon 1, CNRS, INRAE, Lyon, France ([email protected]). \S Department of Mathematics, Heriot-Watt University, Maxwell Institute for Mathematical Sciences, Edinburgh, Scotland, UK ([email protected]).
Funding Information:
The work of the first author was supported by the French National Research Agency (ANR, grant ANR-17-CE20-0023-02 WALLMIME). We would like to thank the Newton Institute of Mathematical Sciences (INI) and the International Centre for Mathematical Sciences (ICMS) for organizing the research program ``Growth, form and self-organisation"" and the workshop ``Growth, form and self-organisation in living systems,"" at which this work was started. We also acknowledge the support of the Centre Blaise Pascal's IT test platform operated with SIDUS [48] at ENS de Lyon for the possibility to test our code on the center's computers.
Publisher Copyright:
Copyright © by SIAM.
PY - 2023/12
Y1 - 2023/12
N2 - How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links between microscopic and macroscopic tissue properties, we perform a multiscale analysis of a model of growing plant tissue with subcellular resolution. We use homogenization to rigorously derive the corresponding macroscopic tissue-scale model. Tissue-scale mechanical properties are computed from microscopic structural and material properties, taking into account deformation by the growth field. We then consider case studies and numerically compare the detailed microscopic model and the tissue-scale model, both implemented using the finite element method. We find that the macroscopic model can be used to efficiently make predictions about several configurations of interest. Our work will help making links between microscopic measurements and macroscopic observations in growing tissues.
AB - How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links between microscopic and macroscopic tissue properties, we perform a multiscale analysis of a model of growing plant tissue with subcellular resolution. We use homogenization to rigorously derive the corresponding macroscopic tissue-scale model. Tissue-scale mechanical properties are computed from microscopic structural and material properties, taking into account deformation by the growth field. We then consider case studies and numerically compare the detailed microscopic model and the tissue-scale model, both implemented using the finite element method. We find that the macroscopic model can be used to efficiently make predictions about several configurations of interest. Our work will help making links between microscopic measurements and macroscopic observations in growing tissues.
KW - finite elements method
KW - FreeFEM
KW - homogenization
KW - linear elasticity
KW - multiscale modeling
KW - plant tissue growth
UR - http://www.scopus.com/inward/record.url?scp=85179585800&partnerID=8YFLogxK
U2 - 10.1137/23M1553315
DO - 10.1137/23M1553315
M3 - Article
AN - SCOPUS:85179585800
SN - 0036-1399
VL - 83
SP - 2354
EP - 2389
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 6
ER -