"Low-dimensional models of single neurons: a review" by Ulises Chialva, Vicente González Boscá et al.
 

Low-dimensional models of single neurons: a review

Document Type

Article

Publication Date

6-1-2023

Abstract

The classical Hodgkin–Huxley (HH) point-neuron model of action potential generation is four-dimensional. It consists of four ordinary differential equations describing the dynamics of the membrane potential and three gating variables associated to a transient sodium and a delayed-rectifier potassium ionic currents. Conductance-based models of HH type are higher-dimensional extensions of the classical HH model. They include a number of supplementary state variables associated with other ionic current types, and are able to describe additional phenomena such as subthreshold oscillations, mixed-mode oscillations (subthreshold oscillations interspersed with spikes), clustering and bursting. In this manuscript we discuss biophysically plausible and phenomenological reduced models that preserve the biophysical and/or dynamic description of models of HH type and the ability to produce complex phenomena, but the number of effective dimensions (state variables) is lower. We describe several representative models. We also describe systematic and heuristic methods of deriving reduced models from models of HH type.

Identifier

85152554700 (Scopus)

Publication Title

Biological Cybernetics

External Full Text Location

https://doi.org/10.1007/s00422-023-00960-1

e-ISSN

14320770

ISSN

03401200

PubMed ID

37060453

First Page

163

Last Page

183

Issue

3

Volume

117

Grant

2019/10496-0

Fund Ref

Fundação de Amparo à Pesquisa do Estado de São Paulo

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