ArticleProceedings of the National Academy of Sciences of the United States of America2000
Robust perfect adaptation in bacterial chemotaxis through integral feedback control.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2000. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 365 papers.
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365 citing papers in PubMed.
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- Continual decision-making dynamics across biological organisms.Biological reviews of the Cambridge Philosophical Society · 2026Review
- Simple biological controllers drive the evolution of soft modes.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
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- Network hypermotifs in biological systems: structure, dynamics, and functional implications.NPJ systems biology and applications · 2026Review
- Preservation of Human Colonic Stem Cells Requires an ERK Dynamics Checkpoint Mediated by AKT.bioRxiv : the preprint server for biology · 2026Article
- Signal Amplification in the HPT Axis-Evidence for Its Existence, Location, Significance, and Molecular Mechanisms.Acta physiologica (Oxford, England) · 2026Review
- Structure and signaling mechanism ofbioRxiv : the preprint server for biology · 2026Article
- Trainable computation in molecular networks.bioRxiv : the preprint server for biology · 2025Article
- Toward single-cell control: noise-robust perfect adaptation in biomolecular systems.Nature communications · 2025Article
- Cumulative dose responses for adapting biological systems.Journal of the Royal Society, Interface · 2025Article
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- Topological criterion for robust perfect adaptation of reaction fluxes in biological networks.iScience · 2025Article
- Multi-Layer Autocatalytic Feedback Enables Integral Control Amidst Resource Competition and Across Scales.ACS synthetic biology · 2025Article
- Fundamental Trade-Offs in the Robustness of Biological Systems with Feedback Regulation.ACS synthetic biology · 2025Article
- Temporal Contrastive Learning through implicit non-equilibrium memory.Nature communications · 2025Article
- Fast nonlinear integration drives accurate encoding of input information in large multiscale systems.Communications physics · 2025Article
305 more citing papers are in PubMed but not listed here.
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4 authors.
Funding
Abstract
Integral feedback control is a basic engineering strategy for ensuring that the output of a system robustly tracks its desired value independent of noise or variations in system parameters. In biological systems, it is common for the response to an extracellular stimulus to return to its prestimulus value even in the continued presence of the signal-a process termed adaptation or desensitization. Barkai, Alon, Surette, and Leibler have provided both theoretical and experimental evidence that the precision of adaptation in bacterial chemotaxis is robust to dramatic changes in the levels and kinetic rate constants of the constituent proteins in this signaling network [Alon, U., Surette, M. G., Barkai, N. & Leibler, S. (1998) Nature (London) 397, 168-171]. Here we propose that the robustness of perfect adaptation is the result of this system possessing the property of integral feedback control. Using techniques from control and dynamical systems theory, we demonstrate that integral control is structurally inherent in the Barkai-Leibler model and identify and characterize the key assumptions of the model. Most importantly, we argue that integral control in some form is necessary for a robust implementation of perfect adaptation. More generally, integral control may underlie the robustness of many homeostatic mechanisms.
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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.