Evidence map›Paper›PMID 26557927›Full record

ArticleCognitive neurodynamics2015

Dynamical analysis of periodic bursting in piece-wise linear planar neuron model.

Ying Ji, Xiaofang Zhang, Minjie Liang, Tingting Hua, Yawei Wang

Abstract read
In one paragraph

Article in Cognitive neurodynamics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing 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

2 citing papers in PubMed.

  1. Article
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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

5 authors.

Ying JiFaculty of Science, Jiangsu University, Zhenjiang, 212013 China.
Xiaofang ZhangFaculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang, 212013 China.
Minjie LiangFaculty of Science, Jiangsu University, Zhenjiang, 212013 China.
Tingting HuaFaculty of Science, Jiangsu University, Zhenjiang, 212013 China.
Yawei WangFaculty of Science, Jiangsu University, Zhenjiang, 212013 China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

A piece-wise linear planar neuron model, namely, two-dimensional McKean model with periodic drive is investigated in this paper. Periodical bursting phenomenon can be observed in the numerical simulations. By assuming the formal solutions associated with different intervals of this non-autonomous system and introducing the generalized Jacobian matrix at the non-smooth boundaries, the bifurcation mechanism for the bursting solution induced by the slowly varying periodic drive is presented. It is shown that, the discontinuous Hopf bifurcation occurring at the non-smooth boundaries, i.e., the bifurcation taking place at the thresholds of the stimulation, leads the alternation between the rest state and spiking state. That is, different oscillation modes of this non-autonomous system convert periodically due to the non-smoothness of the vector field and the slow variation of the periodic drive as well.

Indexed as

BurstingGeneralized equilibrium stateNon-smooth bifurcation mechanismPeriodic drivePiece-wise linear planar neuron model

Identifiers

PMID26557927
PMCPMC4635390

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.