ArticleNature communications2023
Size limits the sensitivity of kinetic schemes.
Article in Nature communications, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Many will enter, few will win: Cost and sensitivity of exploratory dynamics.Biophysical journal · 2026Article
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- Algebraic formulas for first-passage times of Markov processes in the linear framework.Bulletin of mathematical biology · 2025Article
- Signature of cooperativity in the stochastic fluctuations of small systems with application to the bacterial flagellar motor.Scientific reports · 2025Article
- Limits on the computational expressivity of non-equilibrium biophysical processes.Nature communications · 2025Article
- Ecosystems as adaptive living circuits.bioRxiv : the preprint server for biology · 2025Article
- Article
- Stochastic thermodynamics for biological functions.Quantitative biology (Beijing, China) · 2025Review
- A differentiable Gillespie algorithm for simulating chemical kinetics, parameter estimation, and designing synthetic biological circuits.bioRxiv : the preprint server for biology · 2025Article
- Article
- Flexibility and sensitivity in gene regulation out of equilibrium.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- A local-global principle for nonequilibrium steady states.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- The Hill function is the universal Hopfield barrier for sharpness of input-output responses.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- The Hill function is the universal Hopfield barrier for sharpness of input-output responses.bioRxiv : the preprint server for biology · 2024Article
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Authors and funding
2 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Living things benefit from exquisite molecular sensitivity in many of their key processes, including DNA replication, transcription and translation, chemical sensing, and morphogenesis. At thermodynamic equilibrium, the basic biophysical mechanism for sensitivity is cooperative binding, for which it can be shown that the Hill coefficient, a sensitivity measure, cannot exceed the number of binding sites. Generalizing this fact, we find that for any kinetic scheme, at or away from thermodynamic equilibrium, a very simple structural quantity, the size of the support of a perturbation, always limits the effective Hill coefficient. We show how this bound sheds light on and unifies diverse sensitivity mechanisms, including kinetic proofreading and a nonequilibrium Monod-Wyman-Changeux (MWC) model proposed for the E. coli flagellar motor switch, representing in each case a simple, precise bridge between experimental observations and the models we write down. In pursuit of mechanisms that saturate the support bound, we find a nonequilibrium binding mechanism, nested hysteresis, with sensitivity exponential in the number of binding sites, with implications for our understanding of models of gene regulation and the function of biomolecular condensates.
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