ArticleFrontiers in plant science2013
Vertex-element models for anisotropic growth of elongated plant organs.
Article in Frontiers in plant science, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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20 citing papers in PubMed.
- Biophysical modelling as a tool for advancing plant science and engineering.Frontiers in plant science · 2025Review
- Role of turgor-pressure induced boundary tension in the maintenance of the shoot apical meristem ofJournal of the Royal Society, Interface · 2023Article
- Particle-based model shows complex rearrangement of tissue mechanical properties are needed for roots to grow in hard soil.PLoS computational biology · 2023Article
- 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
- Article
- Shaping the Organ: A Biologist Guide to Quantitative Models of Plant Morphogenesis.Frontiers in plant science · 2021Review
- Feedback from Tissue Mechanics Self-Organizes Efficient Outgrowth of Plant Organ.Biophysical journal · 2019Article
- DLITE Uses Cell-Cell Interface Movement to Better Infer Cell-Cell Tensions.Biophysical journal · 2019Article
- Coupling water fluxes with cell wall mechanics in a multicellular model of plant development.PLoS computational biology · 2019Article
- Regulation of plant cell wall stiffness by mechanical stress: a mesoscale physical model.Journal of mathematical biology · 2019Article
- Discrete mechanical growth model for plant tissue.PloS one · 2019Article
- The Impact of Microfibril Orientations on the Biomechanics of Plant Cell Walls and Tissues.Bulletin of mathematical biology · 2016Article
- Hybrid vertex-midline modelling of elongated plant organs.Interface focus · 2016Article
- Variability and Constancy in Cellular Growth of Arabidopsis Sepals.Plant physiology · 2015Article
- Oriented cell division shapes carnivorous pitcher leaves of Sarracenia purpurea.Nature communications · 2015Article
- Multiscale models in the biomechanics of plant growth.Physiology (Bethesda, Md.) · 2015Review
- A computational framework for 3D mechanical modeling of plant morphogenesis with cellular resolution.PLoS computational biology · 2015Article
- Putting theory to the test: which regulatory mechanisms can drive realistic growth of a root?PLoS computational biology · 2014Article
- Mechanical modelling quantifies the functional importance of outer tissue layers during root elongation and bending.The New phytologist · 2014Article
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4 authors.
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Abstract
New tools are required to address the challenge of relating plant hormone levels, hormone responses, wall biochemistry and wall mechanical properties to organ-scale growth. Current vertex-based models (applied in other contexts) can be unsuitable for simulating the growth of elongated organs such as roots because of the large aspect ratio of the cells, and these models fail to capture the mechanical properties of cell walls in sufficient detail. We describe a vertex-element model which resolves individual cells and includes anisotropic non-linear viscoelastic mechanical properties of cell walls and cell division whilst still being computationally efficient. We show that detailed consideration of the cell walls in the plane of a 2D simulation is necessary when cells have large aspect ratio, such as those in the root elongation zone of Arabidopsis thaliana, in order to avoid anomalous transverse swelling. We explore how differences in the mechanical properties of cells across an organ can result in bending and how cellulose microfibril orientation affects macroscale growth. We also demonstrate that the model can be used to simulate growth on realistic geometries, for example that of the primary root apex, using moderate computational resources. The model shows how macroscopic root shape can be sensitive to fine-scale cellular geometries.
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