Evidence map›Paper›PMID 28744735›Full record

ArticleJournal of mathematical neuroscience2017

Fast-Slow Bursters in the Unfolding of a High Codimension Singularity and the Ultra-slow Transitions of Classes.

Maria Luisa Saggio, Andreas Spiegler, Christophe Bernard, Viktor K Jirsa

Abstract read
In one paragraph

Article in Journal of mathematical neuroscience, 2017. 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. Toward Unified Biomarkers for Focal Epilepsy.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2026
    Article
  3. Article
  4. Article
  5. Article
  6. Article
  7. Review
  8. Bifurcations and bursting in the Epileptor.PLoS computational biology · 2024
    Article
  9. Article
  10. Linear feedback control of spreading dynamics in stochastic nonlinear network models: epileptic seizures.International IEEE/EMBS Conference on Neural Engineering : [proceedings]. International IEEE EMBS Conference on Neural Engineering · 2023
    Article
  11. Article
  12. Article
  13. Computational modeling of seizure spread on a cortical surface.Journal of computational neuroscience · 2022
    Article
  14. Review
  15. Article
  16. Article
  17. Article
  18. Article
  19. 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.

Maria Luisa SaggioINS, Institut de Neurosciences des Systèmes, Inserm, Aix Marseille Univ, Marseille, France.
Andreas SpieglerINS, Institut de Neurosciences des Systèmes, Inserm, Aix Marseille Univ, Marseille, France.
Christophe BernardINS, Institut de Neurosciences des Systèmes, Inserm, Aix Marseille Univ, Marseille, France.
Viktor K JirsaINS, Institut de Neurosciences des Systèmes, Inserm, Aix Marseille Univ, Marseille, France. viktor.jirsa@univ-amu.fr.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Bursting is a phenomenon found in a variety of physical and biological systems. For example, in neuroscience, bursting is believed to play a key role in the way information is transferred in the nervous system. In this work, we propose a model that, appropriately tuned, can display several types of bursting behaviors. The model contains two subsystems acting at different time scales. For the fast subsystem we use the planar unfolding of a high codimension singularity. In its bifurcation diagram, we locate paths that underlie the right sequence of bifurcations necessary for bursting. The slow subsystem steers the fast one back and forth along these paths leading to bursting behavior. The model is able to produce almost all the classes of bursting predicted for systems with a planar fast subsystem. Transitions between classes can be obtained through an ultra-slow modulation of the model's parameters. A detailed exploration of the parameter space allows predicting possible transitions. This provides a single framework to understand the coexistence of diverse bursting patterns in physical and biological systems or in models.

Indexed as

BurstingDegenerate and doubly degenerate Takens–Bogdanov singularityMinimal modelsTime-scale separationUltra-slow modulationUnfolding theory

Identifiers

PMID28744735
PMCPMC5526832

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Registered trials

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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.