ArticleeLife2016
High-throughput mathematical analysis identifies Turing networks for patterning with equally diffusing signals.
Article in eLife, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 64 papers.
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Who cites it
64 citing papers in PubMed.
- Fundamental limits on symmetry breaking by Turing-like activator-inhibitor mechanisms.Development (Cambridge, England) · 2026Article
- How nature discovers rare Turing islands: Exploration by common limit cycles.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- A novel reaction-diffusion architecture for engineering self-organized patterns in mammalian cells.bioRxiv : the preprint server for biology · 2026Article
- Revisiting Turing's Chemical Basis of Morphogenesis.Bulletin of mathematical biology · 2026Review
- Transient Instability and Patterns of Reactivity in Diffusive-Chemotaxis Soil Carbon Dynamics.Bulletin of mathematical biology · 2025Article
- Designing reaction-cross-diffusion systems with Turing and wave instabilities.Journal of mathematical biology · 2025Article
- WNT signaling coordinately controls mouse limb bud outgrowth and establishment of the digit-interdigit pattern.Development (Cambridge, England) · 2025Article
- Optimal network sizes for most robust Turing patterns.Scientific reports · 2025Article
- From spots to stripes: Evolution of pigmentation patterns in monkeyflowers via modulation of a reaction-diffusion system and its prepatterns.bioRxiv : the preprint server for biology · 2025Article
- The Turing heritage for plant biology: all spots and stripes?Quantitative plant biology · 2025Article
- Widespread biochemical reaction networks enable Turing patterns without imposed feedback.Nature communications · 2024Article
- How a reaction-diffusion signal can control spinal cord regeneration in axolotls: A modeling study.iScience · 2024Article
- Engineering Tunable, Low Latency Spatial Computation with Dual Input Quorum Sensing Promoters.ACS synthetic biology · 2024Article
- Information content and optimization of self-organized developmental systems.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Automatic design of gene regulatory mechanisms for spatial pattern formation.NPJ systems biology and applications · 2024Article
- A diffusible small-RNA-based Turing system dynamically coordinates organ polarity.Nature plants · 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
- Self-organized BMP signaling dynamics underlie the development and evolution of digit segmentation patterns in birds and mammals.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Correspondence between multiple signaling and developmental cellular patterns: a computational perspective.Frontiers in cell and developmental biology · 2024Article
4 more citing papers are in PubMed but not listed here.
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The Turing reaction-diffusion model explains how identical cells can self-organize to form spatial patterns. It has been suggested that extracellular signaling molecules with different diffusion coefficients underlie this model, but the contribution of cell-autonomous signaling components is largely unknown. We developed an automated mathematical analysis to derive a catalog of realistic Turing networks. This analysis reveals that in the presence of cell-autonomous factors, networks can form a pattern with equally diffusing signals and even for any combination of diffusion coefficients. We provide a software (available at http://www.RDNets.com) to explore these networks and to constrain topologies with qualitative and quantitative experimental data. We use the software to examine the self-organizing networks that control embryonic axis specification and digit patterning. Finally, we demonstrate how existing synthetic circuits can be extended with additional feedbacks to form Turing reaction-diffusion systems. Our study offers a new theoretical framework to understand multicellular pattern formation and enables the wide-spread use of mathematical biology to engineer synthetic patterning systems.
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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.