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. Author manuscript; available in PMC: 2008 Feb 2.
Published in final edited form as: J Neurophysiol. 2007 Oct 3;98(6):3370–3387. doi: 10.1152/jn.00985.2007

TABLE 1.

Steady-state activation and inactivation variables and time constants for voltage-dependent ionic channels

Ionic channels m(V), V, in mV;
τm(V), ms;
h(V), V, in mV;
τh(V), ms
Fast sodium (Na) m∞Na = 1/{1 + exp[−(V + 43.8)/6]};
τmNa = τmNamax/cosh[(V + 43.8)/14],
τmNamax = 0.252.
h∞Na = 1/{1 + exp[(V + 67.5)/10.8]};
τhNa = τhNamax/cosh[(V + 67.5)/12.8],
τhNamax = 8.456.
Persistent sodium (NaP) m∞NaP = 1/{1 + exp[−(V + 47.1)/3.1]};
τmNaP = τmNaPmax/cosh[(V + 47.1)/6.2],
τmNaPmax = 1.
h∞NaP = 1/{1 + exp[(V + 60)/9]};
τhNaP = τhNaPmax/[cosh(V + 60)/9],
τhNaPmax = 5,000.
Delayed rectifier potassium (K) α∞K = 0.01·(V + 44)/{1 − exp[−(V + 44)/5]};
β∞K = 0.17·{exp[ − (V + 49)/40]};
m∞K = α∞K/(α∞K + β∞K);
τmK = τmK max/(α∞K + β∞K), τmK max = 1.
High-voltage–activated calcium (CaL) m∞CaL = 1/(1 + exp[−(V + 27.4)/5.7)];
τmCaL = 0.5.
h∞CaL = 1/{1 + exp[(V + 52.4)/5.2]};
τhCaL = 18.
Calcium-dependent potassium [K(Ca2+)] α∞K,Ca = 1.25 · 108 · [Ca]i2, β∞K,Ca = 2.5;
m∞K,Ca = α∞K,Ca/(α∞K,Ca + β∞K,Ca);
τ∞K,Ca = τmK,Camax · 1000/(α∞K,Ca + β∞K,Ca),
τmK max = 1–8.