Evidence map›Paper›PMID 42572095›Full record

ArticleJournal of computational neuroscience2026

Detailed study of bifurcations in a rate model with excitatory and inhibitory neurons and adaptation.

Anita Windisch, Péter L Simon

Abstract read
In one paragraph

Article in Journal of computational neuroscience, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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.

Anita Windisch *Department of Applied Analysis and Computational Mathematics, Institute of Mathematics, Eötvös Loránd University, Pázmány Péter sétány 1/C, 1117, Budapest, Hungary.
Péter L Simon *Department of Applied Analysis and Computational Mathematics, Institute of Mathematics, Eötvös Loránd University, Pázmány Péter sétány 1/C, 1117, Budapest, Hungary. peter.simon@ttk.elte.hu.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The dynamical behaviour of a population-based rate model with firing adaptation is studied. An excitatory and inhibitory population of neurons is recurrently coupled and a negative feedback term is added to the excitatory population as firing adaptation. In several studies of these models, the UP-DOWN transitions are in focus, which are also exhibited by the investigated model. In this paper we provide a full characterization of equilibrium points with the precise conditions for their existence and stability. Calculations can be performed analytically and explicit formulas can be provided due to the fact that the activation function is a threshold linear function. We use bifurcation analysis to detect significant changes in the phase space. Complete list of bifurcation diagrams is provided with respect to the number of steady states. Oscillatory dynamics of neurobiological relevance are examined through local bifurcation analysis. The study demonstrates that sharp wave-ripple oscillations may emerge in certain regions of the parameter space.

Indexed as

Action PotentialsAdaptation, PhysiologicalModels, NeurologicalNeural InhibitionNeuronsAnimalsComputer SimulationHumansNonlinear Dynamicsadaptationbifurcation diagramoscillationpiecewise linearrate model

Identifiers

PMID42572095
PMCPMC13588919

What OpenQuestion holds

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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.