ArticleThe European physical journal. E, Soft matter2015
Colloquium: Mechanical formalisms for tissue dynamics.
Article in The European physical journal. E, Soft matter, 2015. 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 18 papers.
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Who cites it
18 citing papers in PubMed.
- A quantitative pipeline for whole-mount deep imaging and analysis of multi-layered organoids across scales.eLife · 2026Article
- Unsupervised spatiotemporal classification of deformation patterns of embryonic tissues matches their fate map.iScience · 2025Article
- Metareview: a survey of active matter reviews.The European physical journal. E, Soft matter · 2025Review
- Active viscoelastic models for cell and tissue mechanics.Royal Society open science · 2024Article
- Thickness of epithelia on wavy substrates: measurements and continuous models.The European physical journal. E, Soft matter · 2022Article
- Implementation of cellular bulk stresses in vertex models of biological tissues.The European physical journal. E, Soft matter · 2022Article
- Viscoelasticity, Like Forces, Plays a Role in Mechanotransduction.Frontiers in cell and developmental biology · 2022Review
- Shaping the zebrafish myotome by intertissue friction and active stress.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- The Interplay Between Cell-Cell and Cell-Matrix Forces Regulates Cell Migration Dynamics.Biophysical journal · 2019Article
- Collective cell migration without proliferation: density determines cell velocity and wave velocity.Royal Society open science · 2018Article
- Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model.Mathematical medicine and biology : a journal of the IMA · 2018Article
- Inverse tissue mechanics of cell monolayer expansion.PLoS computational biology · 2018Article
- Dynamics of cancerous tissue correlates with invasiveness.Scientific reports · 2017Article
- Geometry can provide long-range mechanical guidance for embryogenesis.PLoS computational biology · 2017Article
- Inference of Internal Stress in a Cell Monolayer.Biophysical journal · 2016Article
- Article
- Coherent Motion of Monolayer Sheets under Confinement and Its Pathological Implications.PLoS computational biology · 2015Article
- Morphology and growth of polarized tissues.The European physical journal. E, Soft matter · 2014Article
Corrections and comments
- Erratum issued
Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The understanding of morphogenesis in living organisms has been renewed by tremendous progress in experimental techniques that provide access to cell scale, quantitative information both on the shapes of cells within tissues and on the genes being expressed. This information suggests that our understanding of the respective contributions of gene expression and mechanics, and of their crucial entanglement, will soon leap forward. Biomechanics increasingly benefits from models, which assist the design and interpretation of experiments, point out the main ingredients and assumptions, and ultimately lead to predictions. The newly accessible local information thus calls for a reflection on how to select suitable classes of mechanical models. We review both mechanical ingredients suggested by the current knowledge of tissue behaviour, and modelling methods that can help generate a rheological diagram or a constitutive equation. We distinguish cell scale ("intra-cell") and tissue scale ("inter-cell") contributions. We recall the mathematical framework developed for continuum materials and explain how to transform a constitutive equation into a set of partial differential equations amenable to numerical resolution. We show that when plastic behaviour is relevant, the dissipation function formalism appears appropriate to generate constitutive equations; its variational nature facilitates numerical implementation, and we discuss adaptations needed in the case of large deformations. The present article gathers theoretical methods that can readily enhance the significance of the data to be extracted from recent or future high throughput biomechanical experiments.
Identifiers
25957180What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.