Evidence map›Paper›PMID 32670386›Full record

ArticleNature physics2020

The energy cost and optimal design for synchronization of coupled molecular oscillators.

Dongliang Zhang, Yuansheng Cao, Qi Ouyang, Yuhai Tu

Abstract read
In one paragraph

Article in Nature physics, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 30 papers.

0numbers the graph read from it
0cells of the map it votes in
30citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

30 citing papers in PubMed.

  1. Article
  2. An order parameter for synchronisation of angular velocities.The European physical journal. Special topics · 2026
    Article
  3. Review
  4. ChemotaxingArXiv · 2025
    Article
  5. ChemotaxingbioRxiv : the preprint server for biology · 2025
    Article
  6. Article
  7. Stochastic thermodynamics for biological functions.Quantitative biology (Beijing, China) · 2025
    Review
  8. Article
  9. Article
  10. Article
  11. Article
  12. Temperature compensation through kinetic regulation in biochemical oscillators.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  13. A nonequilibrium allosteric model for receptor-kinase complexes: The role of energy dissipation in chemotaxis signaling.Proceedings of the National Academy of Sciences of the United States of America · 2023
    Article
  14. Article
  15. Article
  16. Article
  17. Article
  18. Article
  19. Eukaryotic gene regulation at equilibrium, or non?Current opinion in systems biology · 2022
    Article
  20. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Dongliang ZhangThe State Key Laboratory for Artificial Microstructures and Mesoscopic Physics, School of Physics, Peking University, Beijing 100871, China.
Yuansheng CaoDepartment of Physics, University of California, San Diego, La Jolla, California 92093, USA.
Qi OuyangThe State Key Laboratory for Artificial Microstructures and Mesoscopic Physics, School of Physics, Peking University, Beijing 100871, China.
Yuhai TuIBM T. J. Watson Research Center, Yorktown Heights, New York 10598, USA.

Funding

Quantitative Modeling of Signal Transduction in Bacterial ChemotaxisR01GM081747 · NIGMS · IBM THOMAS J. WATSON RESEARCH CENTER · PI TU, YUHAI · 2007 to 2018
$2.6M
Molecular Mechanisms and Biochemical Circuits for Adaptation in Biological SystemsR35GM131734 · NIGMS · IBM THOMAS J. WATSON RESEARCH CENTER · PI TU, YUHAI · 2019 to 2024
$1.8M
NIGMS NIH HHS R01 GM081747NIGMS NIH HHS R35 GM131734
6 · The paper itself

Abstract

A model of coupled molecular biochemical oscillators is proposed to study nonequilibrium thermodynamics of synchronization. We find that synchronization of nonequilibrium oscillators costs addition energy to drive the exchange reaction (chemical interaction) between individual oscillators. By solving the steady state of the many-body system analytically, we show that the system goes through a nonequilibrium phase transition driven by energy dissipation, and the critical energy dissipation depends on both the frequency and strength of the exchange reaction. Moreover, our study reveals the optimal design for achieving maximum synchronization with a fixed energy budget. We apply our general theory to the Kai system in Cyanobacteria circadian clock and predict a relationship between the KaiC ATPase activity and synchronization of the KaiC hexamers. The theoretical framework can be extended to study thermodynamics of collective behaviors in other extended nonequilibrium active systems.

Identifiers

PMID32670386
PMCPMC7363412

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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.