ArticleNature communications2022
A hierarchy of biomolecular proportional-integral-derivative feedback controllers for robust perfect adaptation and dynamic performance.
Article in Nature communications, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 29 papers.
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Who cites it
29 citing papers in PubMed.
- GenAI-Net: A generative AI framework for automated biomolecular network design.Science advances · 2026Article
- Engineering principles in plant metabolism: integrating control, mechanics, and transport under dynamic environments.Plant physiology · 2026Review
- Hearts may grow concentrically to balance ATP supply and demand and eccentrically to stabilize titin-based stress.bioRxiv : the preprint server for biology · 2026Article
- Stochastic Gene Expression Model with State-Dependent Protein Activation Delay.bioRxiv : the preprint server for biology · 2026Article
- Toward single-cell control: noise-robust perfect adaptation in biomolecular systems.Nature communications · 2025Article
- Gamma-selinene synthase catalyzes the first step of dihydroagarofuran sesquiterpene alkaloid biosynthesis in Tripterygium.Science China. Life sciences · 2025Article
- A Quasi-Stationary Distribution Bound for Fault Analysis in Gene Regulatory Networks.bioRxiv : the preprint server for biology · 2025Article
- Engineering Cell Fate with Adaptive Feedback Control.ACS synthetic biology · 2025Article
- Article
- MobsPy: A programming language for biochemical reaction networks.PLoS computational biology · 2025Article
- Biochemical implementation of acceleration sensing and PIDA control.NPJ systems biology and applications · 2025Article
- Feed-forward loop improves the transient dynamics of an antithetic biological controller.Journal of the Royal Society, Interface · 2025Article
- From homogeneity to heterogeneity: Refining stochastic simulations of gene regulation.Computational and structural biotechnology journal · 2025Article
- Multicellular PID control for robust regulation of biological processes.Journal of the Royal Society, Interface · 2025Article
- Redefining Roles: A Paradigm Shift in Tryptophan-Kynurenine Metabolism for Innovative Clinical Applications.International journal of molecular sciences · 2024Review
- Accelerated optimization in deep learning with a proportional-integral-derivative controller.Nature communications · 2024Article
- Anti-windup strategies for biomolecular control systems facilitated by model reduction theory for sequestration networks.Science advances · 2024Article
- Rational Design and Screening of Synthetic Promoters in Chlamydomonas reinhardtii.Methods in molecular biology (Clifton, N.J.) · 2024Article
- Competition and evolutionary selection among core regulatory motifs in gene expression control.Nature communications · 2023Article
- Only a topological method can identify all possible network structures capable of Robust Perfect Adaptation.PLoS computational biology · 2023Article
Corrections and comments
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Authors and funding
3 authors.
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Abstract
Proportional-Integral-Derivative (PID) feedback controllers are the most widely used controllers in industry. Recently, the design of molecular PID-controllers has been identified as an important goal for synthetic biology and the field of cybergenetics. In this paper, we consider the realization of PID-controllers via biomolecular reactions. We propose an array of topologies offering a compromise between simplicity and high performance. We first demonstrate that different biomolecular PI-controllers exhibit different performance-enhancing capabilities. Next, we introduce several derivative controllers based on incoherent feedforward loops acting in a feedback configuration. Alternatively, we show that differentiators can be realized by placing molecular integrators in a negative feedback loop, which can be augmented by PI-components to yield PID-controllers. We demonstrate that PID-controllers can enhance stability and dynamic performance, and can also reduce stochastic noise. Finally, we provide an experimental demonstration using a hybrid setup where in silico PID-controllers regulate a genetic circuit in single yeast cells.
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