ArticleACS synthetic biology2015
Cooperativity to increase Turing pattern space for synthetic biology.
Article in ACS synthetic biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Solution landscape of reaction-diffusion systems reveals a nonlinear mechanism and spatial robustness of pattern formation.Fundamental research · 2026Article
- Travelling Waves in Gene Expression: A Mathematical Model of Cell-State Dynamics in Melanoma.Bulletin of mathematical biology · 2026Article
- A novel reaction-diffusion architecture for engineering self-organized patterns in mammalian cells.bioRxiv : the preprint server for biology · 2026Article
- Designing reaction-cross-diffusion systems with Turing and wave instabilities.Journal of mathematical biology · 2025Article
- Optimized PAR-2 RING dimerization mediates cooperative and selective membrane binding for robust cell polarity.The EMBO journal · 2024Article
- Physical interactions in non-ideal fluids promote Turing patterns.Journal of the Royal Society, Interface · 2023Article
- Spatiotemporal Patterning Enabled by Gene Regulatory Networks.ACS omega · 2023Article
- Article
- Synthetic Lateral Inhibition in Periodic Pattern Forming Microbial Colonies.ACS synthetic biology · 2021Article
- Engineering pattern formation and morphogenesis.Biochemical Society transactions · 2020Review
- In Situ Investigation of Dynamic Silver Crystallization Driven by Chemical Reaction and Diffusion.Research (Washington, D.C.) · 2020Article
- Spatial Stochastic Intracellular Kinetics: A Review of Modelling Approaches.Bulletin of mathematical biology · 2019Review
- An Interplay Between Reaction-Diffusion and Cell-Matrix Adhesion Regulates Multiscale Invasion in Early Breast Carcinomatosis.Frontiers in physiology · 2019Article
- Model reduction enables Turing instability analysis of large reaction-diffusion models.Journal of the Royal Society, Interface · 2018Article
- Identifying ultrasensitive HGF dose-response functions in a 3D mammalian system for synthetic morphogenesis.Scientific reports · 2016Article
- Article
- Promoters Architecture-Based Mechanism for Noise-Induced Oscillations in a Single-Gene Circuit.PloS one · 2016Article
- Turing Patterning Using Gene Circuits with Gas-Induced Degradation of Quorum Sensing Molecules.PloS one · 2016Article
- Sender-receiver systems and applying information theory for quantitative synthetic biology.Current opinion in biotechnology · 2015Review
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Authors and funding
4 authors.
Funding
Abstract
It is hard to bridge the gap between mathematical formulations and biological implementations of Turing patterns, yet this is necessary for both understanding and engineering these networks with synthetic biology approaches. Here, we model a reaction-diffusion system with two morphogens in a monostable regime, inspired by components that we recently described in a synthetic biology study in mammalian cells.1 The model employs a single promoter to express both the activator and inhibitor genes and produces Turing patterns over large regions of parameter space, using biologically interpretable Hill function reactions. We applied a stability analysis and identified rules for choosing biologically tunable parameter relationships to increase the likelihood of successful patterning. We show how to control Turing pattern sizes and time evolution by manipulating the values for production and degradation relationships. More importantly, our analysis predicts that steep dose-response functions arising from cooperativity are mandatory for Turing patterns. Greater steepness increases parameter space and even reduces the requirement for differential diffusion between activator and inhibitor. These results demonstrate some of the limitations of linear scenarios for reaction-diffusion systems and will help to guide projects to engineer synthetic Turing patterns.
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