Dataset Information

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

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.

SUBMITTER: Zhou Y

PROVIDER: S-EPMC6281550 | biostudies-other | 2018 Dec

REPOSITORIES: biostudies-other

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

Zhou Yujia Y Vo Theodore T Rotstein Horacio G HG McCarthy Michelle M MM Kopell Nancy N

Journal of mathematical neuroscience 20181205 1

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 be ...[more]

PMID: 30519798

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

Publications

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

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