ArticleScientific reports2018
Combining Turing and 3D vertex models reproduces autonomous multicellular morphogenesis with undulation, tubulation, and branching.
Article in Scientific reports, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 24 papers, 1 of them a synthesis that pooled it.
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Who cites it
24 citing papers in PubMed, 1 synthesis or guideline pooled it.
- Pooled it
- The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Biophysics of lumen morphogenesis.Development (Cambridge, England) · 2026Review
- Emergent stable tissue shapes from the regulatory feedback between morphogens and cell growth.Journal of theoretical biology · 2026Article
- Emergent Stable Tissue Shapes from the Regulatory Feedback between Morphogens and Cell Growth.bioRxiv : the preprint server for biology · 2025Article
- The Mechanics of Building Functional Organs.Cold Spring Harbor perspectives in biology · 2025Review
- Cell-Level Modelling of Homeostasis in Confined Epithelial Monolayers.Journal Of Elasticity · 2025Article
- Mechanochemical dynamics of collective cells and hierarchical topological defects in multicellular lumens.Science advances · 2024Article
- Graph topological transformations in space-filling cell aggregates.PLoS computational biology · 2024Article
- Mechanistic regulation of planarian shape during growth and degrowth.Development (Cambridge, England) · 2024Article
- CartoCell, a high-content pipeline for 3D image analysis, unveils cell morphology patterns in epithelia.Cell reports methods · 2023Article
- Three-dimensional chiral morphodynamics of chemomechanical active shells.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Avalanches during epithelial tissue growth; Uniform Growth and a drosophila eye disc model.PLoS computational biology · 2022Article
- Retina organoids: Window into the biophysics of neuronal systems.Biophysics reviews · 2022Review
- Virtual spherical-shaped multicellular platform for simulating the morphogenetic processes of spider-like body axis formation.Frontiers in cell and developmental biology · 2022Article
- Forced into shape: Mechanical forces in Drosophila development and homeostasis.Seminars in cell & developmental biology · 2021Review
- Autonomous epithelial folding induced by an intracellular mechano-polarity feedback loop.PLoS computational biology · 2021Article
- Modeling mechanochemical pattern formation in elastic sheets of biological matter.The European physical journal. E, Soft matter · 2021Article
- Patient-Specific Organoid and Organ-on-a-Chip: 3D Cell-Culture Meets 3D Printing and Numerical Simulation.Advanced biology · 2021Review
- Reaction-Diffusion Model-Based Research on Formation Mechanism of Neuron Dendritic Spine Patterns.Frontiers in neurorobotics · 2021Article
Corrections and comments
- Erratum issued
Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This study demonstrates computational simulations of multicellular deformation coupled with chemical patterning in the three-dimensional (3D) space. To address these aspects, we proposes a novel mathematical model, where a reaction-diffusion system is discretely expressed at a single cell level and combined with a 3D vertex model. To investigate complex phenomena emerging from the coupling of patterning and deformation, as an example, we employed an activator-inhibitor system and converted the activator concentration of individual cells into their growth rate. Despite the simplicity of the model, by growing a monolayer cell vesicle, the coupling system provided rich morphological dynamics such as undulation, tubulation, and branching. Interestingly, the morphological variety depends on the difference in time scales between patterning and deformation, and can be partially understood by the intrinsic hysteresis in the activator-inhibitor system with domain growth. Importantly, the model can be applied to 3D multicellular dynamics that couple the reaction-diffusion patterning with various cell behaviors, such as deformation, rearrangement, division, apoptosis, differentiation, and proliferation. Thus, the results demonstrate the significant advantage of the proposed model as well as the biophysical importance of exploring spatiotemporal dynamics of the coupling phenomena of patterning and deformation in 3D space.
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