ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2019
Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2019. 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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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.
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Who cites it
29 citing papers in PubMed.
- Cardiorespiratory Dynamics as a Non-Autonomous System of Coupled Oscillators with Time-Varying Frequency Modulation.Entropy (Basel, Switzerland) · 2026Article
- Physiological Noise in Cardiorespiratory Time-Varying Interactions.Entropy (Basel, Switzerland) · 2026Article
- An order parameter for synchronisation of angular velocities.The European physical journal. Special topics · 2026Article
- Noise Robustness of Transcript-Based Estimators for Properties of Interactions.Entropy (Basel, Switzerland) · 2025Article
- Methamphetamine alters the circadian oscillator and its couplings on multiple scales inPNAS nexus · 2025Article
- Editorial: Cardio-respiratory-brain integrative physiology: interactions, mechanisms, and methods for assessment.Frontiers in computational neuroscience · 2025Article
- A dynamical systems analysis of change in PTSD symptoms, depression symptoms, and suicidal ideation among military personnel during treatment for PTSD.Journal of affective disorders · 2024Article
- The phase coherence of the neurovascular unit is reduced in Huntington's disease.Brain communications · 2024Article
- Exponentially Long Transient Time to Synchronization of Coupled Chaotic Circle Maps in Dense Random Networks.Entropy (Basel, Switzerland) · 2023Article
- Optimal synchronization in pulse-coupled oscillator networks using reinforcement learning.PNAS nexus · 2023Article
- Dynamic sensitivity analysis: Defining personalised strategies to drive brain state transitions via whole brain modelling.Computational and structural biotechnology journal · 2023Review
- Multiscale Time-resolved Analysis Reveals Remaining Behavioral Rhythms in Mice Without Canonical Circadian Clocks.Journal of biological rhythms · 2022Article
- Multi-Phase Locking Value: A Generalized Method for Determining Instantaneous Multi-Frequency Phase Coupling.Biomedical signal processing and control · 2022Article
- fNIRS-based brain functional response to robot-assisted training for upper-limb in stroke patients with hemiplegia.Frontiers in aging neuroscience · 2022Article
- Identifying Cognitive Impairment in Elderly Using Coupling Functions Between Cerebral Oxyhemoglobin and Arterial Blood Pressure.Frontiers in aging neuroscience · 2022Article
- Beyond the Baroreflex: A New Measure of Autonomic Regulation Based on the Time-Frequency Assessment of Variability, Phase Coherence and Couplings.Frontiers in network physiology · 2022Article
- Towards a Data-Driven Estimation of Resilience in Networked Dynamical Systems: Designing a Versatile Testbed.Frontiers in network physiology · 2022Article
- What Models and Tools can Contribute to a Better Understanding of Brain Activity?Frontiers in network physiology · 2022Article
- Delayed Mechanical Response to Chemical Kinetics in Self-Oscillating Hydrogels Driven by the Belousov-Zhabotinsky Reaction.Macromolecules · 2021Article
- Coupling between Blood Pressure and Subarachnoid Space Width Oscillations during Slow Breathing.Entropy (Basel, Switzerland) · 2021Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Dynamical systems are widespread, with examples in physics, chemistry, biology, population dynamics, communications, climatology and social science. They are rarely isolated but generally interact with each other. These interactions can be characterized by coupling functions-which contain detailed information about the functional mechanisms underlying the interactions and prescribe the physical rule specifying how each interaction occurs. Coupling functions can be used, not only to understand, but also to control and predict the outcome of the interactions. This theme issue assembles ground-breaking work on coupling functions by leading scientists. After overviewing the field and describing recent advances in the theory, it discusses novel methods for the detection and reconstruction of coupling functions from measured data. It then presents applications in chemistry, neuroscience, cardio-respiratory physiology, climate, electrical engineering and social science. Taken together, the collection summarizes earlier work on coupling functions, reviews recent developments, presents the state of the art, and looks forward to guide the future evolution of the field. This article is part of the theme issue 'Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences'.
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Registered trials
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