. 2013 Jul 9;36(2):157–175. doi: 10.1007/s10827-013-0463-7

Table 3.

Rate constants for voltage-gated ion channels. (V is measured in mV)

Na⁺ channel	$α_{m} = \frac{- 0.6 (V + 30)}{\exp (- 0.1 (V + 30)) - 1}$	$β_{m} = 20 \exp (\frac{- (V + 55)}{18})$
Na⁺ channel	$α_{h} = 0.4 \exp (\frac{- (V + 50)}{20})$	$β_{h} = \frac{6}{1 + \exp (- 0.1 (V + 20))}$
Ca²⁺ channel	$α_{c} = \frac{- 0.3 (V + 13)}{\exp (- 0.1 (V + 13)) - 1}$	$β_{c} = 10 \exp (\frac{- (V + 38)}{18})$
K⁺ channel	$α_{n} = \frac{- 0.02 (V + 40)}{\exp (- 0.1 (V + 40)) - 1}$	$β_{n} = 0.4 \exp (\frac{- (V + 50)}{80})$
A channel	$α_{a} = \frac{- 0.006 (V + 90)}{\exp (- 0.1 (V + 90)) - 1}$	$β_{a} = 0.1 \exp (\frac{- (V + 30)}{10})$
A channel	$α_{h_{A}} = 0.04 \exp (\frac{- (V + 70)}{20})$	$β_{h_{A}} = \frac{0.6}{1 + \exp (- 0.1 (V + 40))}$
h channel	$α_{l} = \exp (0.08316 (V + 75))$	$β_{l} = \exp (0.033264 (V + 75))$
T channel	$α_{m_{T}} = {(1.7 + \exp (\frac{- (V + 28.8)}{13.5}))}^{- 1}$	$β_{m_{T}} = \frac{1 + \exp (- (V + 63) 7.8)}{1.7 + \exp (\frac{- (V + 28.8)}{13.5})}$
	$α_{h_{T}} = \exp (\frac{- (V + 160.3)}{17.8})$	$β_{h_{T}} = α_{h_{T}} {[0.25 + \exp (\frac{V + 83.5}{6.3})]}^{0.5} - 0.5 α_{h_{T}}$
	$α_{d} = \frac{1 + \exp (\frac{V + 37.4}{30})}{240 [0.5 + {(0.25 + \exp (\frac{V + 83.5}{6.3}))}^{0.5}]}$	$β_{d} = α_{d} {[0.25 + \exp (\frac{V + 83.5}{6.3})]}^{0.5}$
NaP channel
[V<−40]	$α_{p} = \frac{0.025 + 0.14 \exp (\frac{V + 40}{10})}{1 + \exp (\frac{- (V + 48)}{10})}$	$β_{p} = \frac{1 - {(1 + \exp (\frac{- (V + 48)}{10}))}^{- 1}}{0.025 + 0.14 \exp (\frac{V + 40}{10})}$
[V≥−40	$α_{p} = \frac{0.02 + 0.145 \exp (\frac{- (V + 40)}{10})}{1 + \exp (\frac{- (V + 48)}{10})}$	$β_{p} = \frac{1 - {(1 + \exp (\frac{- (V + 48)}{10}))}^{- 1}}{0.02 + 0.145 \exp (\frac{- (V + 40)}{10})}$