ReviewPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2021
Studies of Turing pattern formation in zebrafish skin.
Review in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 26 papers.
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Who cites it
26 citing papers in PubMed.
- Color patterns as a model for connecting developmental mechanisms to phenotypic evolution.Nature communications · 2026Review
- Beyond the Classics: The Synergy of AI and Genomics Reveals an Expanded Repertoire of Pigmentation Genes.Journal of experimental zoology. Part B, Molecular and developmental evolution · 2026Review
- Chemotactic self-organization captures the dynamics of mammalian hair follicle patterning.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Article
- A novel reaction-diffusion architecture for engineering self-organized patterns in mammalian cells.bioRxiv : the preprint server for biology · 2026Article
- The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections.Acta biotheoretica · 2026Article
- Cell-cell communication as underlying principle governing color pattern formation in teleost fishes.Nature communications · 2026Article
- Exploring potential of Turing pattern classification through convolution maps.Scientific reports · 2025Article
- Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation.Bulletin of mathematical biology · 2025Article
- An ABA-ROP toggle switch orchestrates xylem differentiation and cell wall patterning.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Analysis of the spatio-temporal dynamics of a Rho-GEF-H1-myosin activator-inhibitor reaction-diffusion system.Royal Society open science · 2025Article
- Spatiotemporal patterns in active four-state Potts models.Scientific reports · 2025Article
- Colour pattern studies: the SE (せ) method, a shape-centred approach to explore biodiversity and avoid aesthetic biases.Quantitative plant biology · 2025Review
- Recording morphogen signals reveals mechanisms underlying gastruloid symmetry breaking.Nature cell biology · 2024Article
- Linking discrete and continuous models of cell birth and migration.Royal Society open science · 2024Article
- Review
- Learning spatio-temporal patterns with Neural Cellular Automata.PLoS computational biology · 2024Article
- Minimal reaction schemes for pattern formation.Journal of the Royal Society, Interface · 2024Article
- Mechanisms Underlying the Formation and Evolution of Vertebrate Color Patterns.Annual review of genetics · 2023Review
- Development shapes the evolutionary diversification of rodent stripe patterns.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
Corrections and comments
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Authors and funding
3 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Skin patterns are the first example of the existence of Turing patterns in living organisms. Extensive research on zebrafish, a model organism with stripes on its skin, has revealed the principles of pattern formation at the molecular and cellular levels. Surprisingly, although the networks of cell-cell interactions have been observed to satisfy the 'short-range activation and long-range inhibition' prerequisites for Turing pattern formation, numerous individual reactions were not envisioned based on the classical reaction-diffusion model. For example, in real skin, it is not an alteration in concentrations of chemicals, but autonomous migration and proliferation of pigment cells that establish patterns, and cell-cell interactions are mediated via direct contact through cell protrusions. Therefore, the classical reaction-diffusion mechanism cannot be used as it is for modelling skin pattern formation. Various studies are underway to adapt mathematical models to the experimental findings on research into skin patterns, and the purpose of this review is to organize and present them. These novel theoretical methods could be applied to autonomous pattern formation phenomena other than skin patterns. This article is part of the theme issue 'Recent progress and open frontiers in Turing's theory of morphogenesis'.
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