Typical frequency-current curves of neurons obtained from a model based on cellular automaton

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dc.contributor.authorCorreale T.G.
dc.contributor.authorMonteiro L.H.A.
dc.date.accessioned2024-03-13T00:49:19Z
dc.date.available2024-03-13T00:49:19Z
dc.date.issued2017
dc.description.abstract© 2017 Elsevier Inc.Usually, neurons stimulated by constant current exhibit one of two types of behavior: for type-1 neurons, the curve representing “firing frequency versus input current” is continuous; for type-2 neurons, there is a discontinuity in such a curve. Here, we reproduce these typical behaviors from a discrete-time model based on the dynamics of ion channels. In this model, the axonal membrane is considered as a lattice and each patch of this lattice contains a set of ion channels. The state transitions of the voltage-gated ion channels are governed by deterministic rules. We show that the frequency-current relationship obtained from this model is similar to the one derived from the Hodgkin–Huxley equations, which are commonly used to describe type-2 neurons. We also show that our approach can be convenient to model type-1 neurons.
dc.description.firstpage136
dc.description.lastpage141
dc.description.volume304
dc.identifier.doi10.1016/j.amc.2017.01.042
dc.identifier.issn0096-3003
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/35755
dc.relation.ispartofApplied Mathematics and Computation
dc.rightsAcesso Restrito
dc.subject.otherlanguageBifurcation
dc.subject.otherlanguageCellular automaton
dc.subject.otherlanguageFrequency-current curve
dc.subject.otherlanguageIon channel
dc.subject.otherlanguageNeurodynamics
dc.titleTypical frequency-current curves of neurons obtained from a model based on cellular automaton
dc.typeArtigo
local.scopus.citations1
local.scopus.eid2-s2.0-85012912284
local.scopus.subjectDeterministic rule
local.scopus.subjectDiscrete-time model
local.scopus.subjectFiring frequency
local.scopus.subjectFrequency current
local.scopus.subjectIon channel
local.scopus.subjectNeurodynamics
local.scopus.subjectState transitions
local.scopus.subjectVoltage gated ion channels
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85012912284&origin=inward
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