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Table 1 Variables and parameters definitions

From: A modified Hodgkin–Huxley model to show the effect of motor cortex stimulation on the trigeminal neuralgia network

Variable or paremeter name

Definition

E

Membrane potential

m

Activation of fast sodium channels

h

Inactivation of fast sodium channels

\(m_{{s}}\)

Activation of slow sodium channels

\(h_{{s}}\)

Inactivation of slow sodium channels

n

Activation of potassium channels

\(C_{{m}}\)

Equivalence membrane capacitance

\(g_{{Naf}}\)

Fast sodium channels conductance

\(g_{{k}}\)

Potassium channels conductance

\(g_{{l}}\)

Leak channels conductance

\(g_{ {NaS} }\)

Slow sodium channels conductance

\(E_{{Na}}\)

Nernst potentials of fast sodium ions

\(E_{{k}}\)

Nernst potentials of potassium ions

\(E_{{l}}\)

Nernst potentials of leakage ions

\(\alpha _{{m}}\) and \(\beta _{{m}}\)

Transition rates between open and closed states of the activation of sodium channels

\(\alpha _{{h}}\) and \(\beta _{{h}}\)

Transition rates between open and closed states of the inactivation of sodium channels

\(\alpha _{{n}}\) and \(\beta _{{n}}\)

Transition rates between open and closed states of the potassium channels

\(\alpha _{{mS}}\) and \(\beta _{{mS}}\)

Transition rates between open and closed states of the activation of Slow sodium channels

\(\alpha _{hS}\) and \(\beta _{hS}\)

Transition rates between open and closed states of the inactivation of slow sodium channels