ArticleJournal of the Royal Society, Interface2023
Free energy dissipation enhances spatial accuracy and robustness of self-positioned Turing pattern in small biochemical systems.
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 5 papers.
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5 citing papers in PubMed, 8 citations in OpenAlex.
- Solution landscape of reaction-diffusion systems reveals a nonlinear mechanism and spatial robustness of pattern formation.Fundamental research · 2026Article
- On pattern formation in the thermodynamically-consistent variational Gray-Scott model.Mathematical biosciences · 2025Article
- Ecosystems as adaptive living circuits.bioRxiv : the preprint server for biology · 2025Article
- Cell-free expression with a quartz crystal microbalance enables rapid, dynamic, and label-free characterization of membrane-interacting proteins.Communications biology · 2024Article
- Free energy dissipation enhances spatial accuracy and robustness of self-positioned Turing pattern in small biochemical systems.Journal of the Royal Society, Interface · 2023Article
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Authors and funding
4 authors at 2 institutions in 2 countries.
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Abstract
Accurate and robust spatial orders are ubiquitous in living systems. In 1952, Turing proposed a general mechanism for pattern formation exemplified by a reaction-diffusion model with two chemical species in a large system. However, in small biological systems such as a cell, the existence of multiple Turing patterns and strong noise can lower the spatial order. Recently, a modified reaction-diffusion model with an additional chemical species is shown to stabilize the Turing pattern. Here, we study non-equilibrium thermodynamics of this three-species reaction-diffusion model to understand the relationship between energy cost and the performance of self-positioning. By using computational and analytical approaches, we show that beyond the onset of pattern formation the positioning error decreases as energy dissipation increases. In a finite system, we find that a specific Turing pattern exists only within a finite range of total molecule number. Energy dissipation broadens this range, which enhances the robustness of Turing pattern against molecule number fluctuations in living cells. The generality of these results is verified in a realistic model of the Muk system underlying DNA segregation in
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