Evidence map›Paper›PMID 30519798›Full record

ArticleJournal of mathematical neuroscience2018

M-Current Expands the Range of Gamma Frequency Inputs to Which a Neuronal Target Entrains.

Yujia Zhou, Theodore Vo, Horacio G Rotstein, Michelle M McCarthy, Nancy Kopell

Abstract read
In one paragraph

Article in Journal of mathematical neuroscience, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.

0numbers the graph read from it
0cells of the map it votes in
11citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

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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.

2 · The registry

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3 · Its place in the literature

Who cites it

11 citing papers in PubMed.

  1. Article
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  5. Article
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  7. Article
  8. Chemical modulation of Kv7 potassium channels.RSC medicinal chemistry · 2021
    Review
  9. Article
  10. Robust spike timing in an excitable cell with delayed feedback.Journal of the Royal Society, Interface · 2021
    Article
  11. 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

5 authors.

Yujia ZhouDepartment of Mathematics and Statistics, Boston University, Boston, USA.
Theodore VoDepartment of Mathematics, Florida State University, Tallahassee, USA.
Horacio G RotsteinDepartment of Biological Sciences, New Jersey Institute of Technology, Newark, USA.
Michelle M McCarthyDepartment of Mathematics and Statistics, Boston University, Boston, USA. mmccart@bu.edu.
Nancy KopellDepartment of Mathematics and Statistics, Boston University, Boston, USA. nk@bu.edu.

Funding

National Science Foundation DMS-1225647National Science Foundation DMS-DMS-1514796
6 · The paper itself

Abstract

Theta (4-8 Hz) and gamma (30-80 Hz) rhythms in the brain are commonly associated with memory and learning (Kahana in J Neurosci 26:1669-1672, 2006; Quilichini et al. in J Neurosci 30:11128-11142, 2010). The precision of co-firing between neurons and incoming inputs is critical in these cognitive functions. We consider an inhibitory neuron model with M-current under forcing from gamma pulses and a sinusoidal current of theta frequency. The M-current has a long time constant (∼90 ms) and it has been shown to generate resonance at theta frequencies (Hutcheon and Yarom in Trends Neurosci 23:216-222, 2000; Hu et al. in J Physiol 545:783-805, 2002). We have found that this slow M-current contributes to the precise co-firing between the network and fast gamma pulses in the presence of a slow sinusoidal forcing. The M-current expands the phase-locking frequency range of the network, counteracts the slow theta forcing, and admits bistability in some parameter range. The effects of the M-current balancing the theta forcing are reduced if the sinusoidal current is faster than the theta frequency band. We characterize the dynamical mechanisms underlying the role of the M-current in enabling a network to be entrained to gamma frequency inputs using averaging methods, geometric singular perturbation theory, and bifurcation analysis.

Indexed as

AveragingBiophysical modelingBistabilityGeometric singular perturbation theoryMultiple timescalesPhase-amplitude couplingTheta rhythm

Identifiers

PMID30519798
PMCPMC6281550

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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.