ArticlePloS one2019
Discrete mechanical growth model for plant tissue.
Article in PloS one, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- The mitigation mechanism of exogenous pyridoxal-5-phosphate on Pb stress damage in Polygonatum Cyrtonema Hua by multi-omics combined analysis.BMC genomics · 2026Article
- Biophysical modelling as a tool for advancing plant science and engineering.Frontiers in plant science · 2025Review
- Multi-scale mechanisms driving root regeneration: From regeneration competence to tissue repatterning.The Plant journal : for cell and molecular biology · 2024Review
- Complementary roles for auxin and auxin signalling revealed by reverse engineering lateral root stable prebranch site formation.Development (Cambridge, England) · 2022Article
- Modeling Auxin Signaling in Roots: Auxin Computations.Cold Spring Harbor perspectives in biology · 2022Review
- Stochasticity and the limits of molecular signaling in plant development.Frontiers in plant science · 2022Article
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Authors and funding
2 authors.
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Abstract
We present a discrete mechanical model to study plant development. The method is built up of mass points, springs and hinges mimicking the plant cell wall's microstructure. To model plastic growth the resting lengths of springs are adjusted; when springs exceed a threshold length, new mass points, springs and hinges, are added. We formulate a stiffness tensor for the springs and hinges as a function of the fourth rank tensor of elasticity and the geometry of the mesh. This allows us to approximate the material law as a generalized orthotropic Hooke's law, and control material properties during growth. The material properties of the model are illustrated in numerical simulations for finite strain and plastic growth. To solve the equations of motion of mass points we assume elastostatics and use Verlet integration. The method is demonstrated in simulations when anisotropic growth causes emergent residual strain fields in cell walls and a bending of tissue. The method can be used in multilevel models to study plant development, for example by coupling it to models for cytoskeletal, hormonal and gene regulatory processes.
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