ArticleJournal of the Royal Society, Interface2023
Quantifying tissue growth, shape and collision via continuum models and Bayesian inference.
Article in Journal of the Royal Society, Interface, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
What it found
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Who cites it
9 citing papers in PubMed.
- Virtual twins and the future of human developmental biology.NPJ systems biology and applications · 2026Review
- Mathematical Prediction for Geometry-Mediated Cell 3D In-Growth on Bone Tissue Engineering Scaffolds.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Modeling proximalisation in axolotl limb regeneration.Scientific reports · 2025Article
- A new paradigm considering multicellular adhesion, repulsion and attraction represent diverse cellular tile patterns.PLoS computational biology · 2025Article
- Quantifying cell cycle regulation by tissue crowding.Biophysical journal · 2025Article
- Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion.Royal Society open science · 2024Article
- Parameter identifiability and model selection for partial differential equation models of cell invasion.Journal of the Royal Society, Interface · 2024Article
- Spatial heterogeneity in collective electrotaxis: continuum modelling and applications to optimal control.bioRxiv : the preprint server for biology · 2024Article
- Quantifying tissue growth, shape and collision via continuum models and Bayesian inference.Journal of the Royal Society, Interface · 2023Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues and organs coexist and interact across scales to determine both shape and function. Here, we take a quantitative approach combining data from recent experiments, mathematical modelling and Bayesian parameter inference, to describe the self-assembly of multiple epithelial sheets by growth and collision. We use two simple and well-studied continuum models, where cells move either randomly or following population pressure gradients. After suitable calibration, both models prove to be practically identifiable, and can reproduce the main features of single tissue expansions. However, our findings reveal that whenever tissue-tissue interactions become relevant, the random motion assumption can lead to unrealistic behaviour. Under this setting, a model accounting for population pressure from different cell populations is more appropriate and shows a better agreement with experimental measurements. Finally, we discuss how tissue shape and pressure affect multi-tissue collisions. Our work thus provides a systematic approach to quantify and predict complex tissue configurations with applications in the design of tissue composites and more generally in tissue engineering.
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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.