INa_TM1991v2#
- class brainpy.dyn.INa_TM1991v2(size, keep_size=False, g_max=120.0, phi=1.0, V_sh=-63.0, method='exp_auto', name=None, mode=None)[source]#
The sodium current model described by (Traub and Miles, 1991) [1].
The dynamics of this sodium current model is given by:
\[\begin{split}\begin{split} \begin{aligned} I_{\mathrm{Na}} &= g_{\mathrm{max}} m^3 h \\ \frac {dm} {dt} &= \phi(\alpha_m (1-x) - \beta_m) \\ &\alpha_m(V) = 0.32 \frac{(13 - V + V_{sh})}{\exp((13 - V +V_{sh}) / 4) - 1.} \\ &\beta_m(V) = 0.28 \frac{(V - V_{sh} - 40)}{(\exp((V - V_{sh} - 40) / 5) - 1)} \\ \frac {dh} {dt} &= \phi(\alpha_h (1-x) - \beta_h) \\ &\alpha_h(V) = 0.128 * \exp((17 - V + V_{sh}) / 18) \\ &\beta_h(V) = 4. / (1 + \exp(-(V - V_{sh} - 40) / 5)) \\ \end{aligned} \end{split}\end{split}\]where \(V_{sh}\) is the membrane shift (default -63 mV), and \(\phi\) is the temperature-dependent factor (default 1.).
- Parameters:
size (int, tuple of int) – The size of the simulation target.
keep_size (bool) – Keep size or flatten the size?
method (str) – The numerical method
name (str) – The name of the object.
g_max (float, ArrayType, Callable, Initializer) – The maximal conductance density (\(mS/cm^2\)).
E (float, ArrayType, Callable, Initializer) – The reversal potential (mV).
V_sh (float, ArrayType, Callable, Initializer) – The membrane shift.
References
See also