ReviewPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2021
Turing pattern design principles and their robustness.
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 24 papers.
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Who cites it
24 citing papers in PubMed.
- Revisiting Turing's Chemical Basis of Morphogenesis.Bulletin of mathematical biology · 2026Review
- Regular-wrinkling tunable MXene lattice for electromagnetic interference shielding.Nature communications · 2026Article
- Exploring potential of Turing pattern classification through convolution maps.Scientific reports · 2025Article
- Designing reaction-cross-diffusion systems with Turing and wave instabilities.Journal of mathematical biology · 2025Article
- Optimal network sizes for most robust Turing patterns.Scientific reports · 2025Article
- Emergence of shield immunity during spatial contagions.Npj complexity · 2025Article
- Turing patterns with cellular computers.Cell systems · 2024Article
- Numerical investigation of new rete ridge formation in a multi-layer model of skin subjected to tissue expansion.Journal of biomechanics · 2024Article
- Interactions between neural representations of the social and spatial environment.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2024Review
- Automatic design of gene regulatory mechanisms for spatial pattern formation.NPJ systems biology and applications · 2024Article
- Minimal reaction schemes for pattern formation.Journal of the Royal Society, Interface · 2024Article
- Turing Instabilities are Not Enough to Ensure Pattern Formation.Bulletin of mathematical biology · 2024Article
- A multifunctional Wnt regulator underlies the evolution of rodent stripe patterns.Nature ecology & evolution · 2023Article
- Diffusiophoresis-enhanced Turing patterns.Science advances · 2023Article
- The reaction-diffusion basis of animated patterns in eukaryotic flagella.Nature communications · 2023Article
- Physical interactions in non-ideal fluids promote Turing patterns.Journal of the Royal Society, Interface · 2023Article
- Self-Organization and Genomic Causality in Models of Morphogenesis.Entropy (Basel, Switzerland) · 2023Review
- Universal structures for adaptation in biochemical reaction networks.Nature communications · 2023Article
- Appearance and suppression of Turing patterns under a periodically forced feed.Communications chemistry · 2023Article
- Learning system parameters from turing patterns.Machine learning · 2023Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Turing patterns have morphed from mathematical curiosities into highly desirable targets for synthetic biology. For a long time, their biological significance was sometimes disputed but there is now ample evidence for their involvement in processes ranging from skin pigmentation to digit and limb formation. While their role in developmental biology is now firmly established, their synthetic design has so far proved challenging. Here, we review recent large-scale mathematical analyses that have attempted to narrow down potential design principles. We consider different aspects of robustness of these models and outline why this perspective will be helpful in the search for synthetic Turing-patterning systems. We conclude by considering robustness in the context of developmental modelling more generally. This article is part of the theme issue 'Recent progress and open frontiers in Turing's theory of morphogenesis'.
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