Evidence map›Paper›PMID 26945993›Full record

ArticleJournal of computational neuroscience2016

Weakly coupled oscillators in a slowly varying world.

Youngmin Park, Bard Ermentrout

Abstract read
PubMed Publisher
In one paragraph

Article in Journal of computational neuroscience, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.

0numbers the graph read from it
0cells of the map it votes in
7citing 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

7 citing papers in PubMed.

  1. An order parameter for synchronisation of angular velocities.The European physical journal. Special topics · 2026
    Article
  2. Article
  3. Article
  4. Article
  5. On the concept of dynamical reduction: the case of coupled oscillators.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019
    Article
  6. Synchronization transitions caused by time-varying coupling functions.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019
    Article
  7. 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

2 authors.

Youngmin ParkDepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA. yop6@pitt.edu.
Bard ErmentroutDepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA.

Funding

National Science Foundation DMS 1219753
6 · The paper itself

Abstract

We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximation to derive equations for the phase-difference between a pair of oscillators. We apply this to the simple Hopf oscillator and then to a biophysical model. The latter represents the behavior of a neuron that is subject to slow modulation of a muscarinic current such as would occur during transient attention through cholinergic activation. Our method extends and simplifies the recent work of Kurebayashi (Physical Review Letters, 111, 214101, 2013) to include coupling. We apply the method to an all-to-all network and show that there is a waxing and waning of synchrony of modulated neurons.

Indexed as

Models, NeurologicalPeriodicityBiophysicsHumansNerve NetNeuronsModulationOscillatorsSlowly varying parametersTraub modelWeak coupling

Identifiers

What OpenQuestion holds

Textmetadata
Read underepoch 390

Registered trials

None linked

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.