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2017 ; 13
(9
): e1005737
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A single Markov-type kinetic model accounting for the macroscopic currents of all
human voltage-gated sodium channel isoforms
#MMPMID28863150
Balbi P
; Massobrio P
; Hellgren Kotaleski J
PLoS Comput Biol
2017[Sep]; 13
(9
): e1005737
PMID28863150
show ga
Modelling ionic channels represents a fundamental step towards developing
biologically detailed neuron models. Until recently, the voltage-gated ion
channels have been mainly modelled according to the formalism introduced by the
seminal works of Hodgkin and Huxley (HH). However, following the continuing
achievements in the biophysical and molecular comprehension of these pore-forming
transmembrane proteins, the HH formalism turned out to carry limitations and
inconsistencies in reproducing the ion-channels electrophysiological behaviour.
At the same time, Markov-type kinetic models have been increasingly proven to
successfully replicate both the electrophysiological and biophysical features of
different ion channels. However, in order to model even the finest non-conducting
molecular conformational change, they are often equipped with a considerable
number of states and related transitions, which make them computationally heavy
and less suitable for implementation in conductance-based neurons and large
networks of those. In this purely modelling study we develop a Markov-type
kinetic model for all human voltage-gated sodium channels (VGSCs). The model
framework is detailed, unifying (i.e., it accounts for all ion-channel isoforms)
and computationally efficient (i.e. with a minimal set of states and
transitions). The electrophysiological data to be modelled are gathered from
previously published studies on whole-cell patch-clamp experiments in mammalian
cell lines heterologously expressing the human VGSC subtypes (from NaV1.1 to
NaV1.9). By adopting a minimum sequence of states, and using the same state
diagram for all the distinct isoforms, the model ensures the lightest
computational load when used in neuron models and neural networks of increasing
complexity. The transitions between the states are described by original ordinary
differential equations, which represent the rate of the state transitions as a
function of voltage (i.e., membrane potential). The kinetic model, developed in
the NEURON simulation environment, appears to be the simplest and most
parsimonious way for a detailed phenomenological description of the human VGSCs
electrophysiological behaviour.