INa_Ba2002#
- class brainpy.dyn.INa_Ba2002(size, keep_size=False, T=36.0, E=50.0, g_max=90.0, V_sh=-50.0, method='exp_auto', name=None, mode=None)[source]#
The sodium current model.
The sodium current model is adopted from (Bazhenov, et, al. 2002) [1]. It’s dynamics is given by:
\[\begin{split}\begin{aligned} I_{\mathrm{Na}} &= g_{\mathrm{max}} * p^3 * q \\ \frac{dp}{dt} &= \phi ( \alpha_p (1-p) - \beta_p p) \\ \alpha_{p} &=\frac{0.32\left(V-V_{sh}-13\right)}{1-\exp \left(-\left(V-V_{sh}-13\right) / 4\right)} \\ \beta_{p} &=\frac{-0.28\left(V-V_{sh}-40\right)}{1-\exp \left(\left(V-V_{sh}-40\right) / 5\right)} \\ \frac{dq}{dt} & = \phi ( \alpha_q (1-h) - \beta_q h) \\ \alpha_q &=0.128 \exp \left(-\left(V-V_{sh}-17\right) / 18\right) \\ \beta_q &= \frac{4}{1+\exp \left(-\left(V-V_{sh}-40\right) / 5\right)} \end{aligned}\end{split}\]where \(\phi\) is a temperature-dependent factor, which is given by \(\phi=3^{\frac{T-36}{10}}\) (\(T\) is the temperature in Celsius).
- Parameters:
g_max (float, ArrayType, Callable, Initializer) – The maximal conductance density (\(mS/cm^2\)).
E (float, ArrayType, Callable, Initializer) – The reversal potential (mV).
T (float, ArrayType) – The temperature (Celsius, \(^{\circ}C\)).
V_sh (float, ArrayType, Callable, Initializer) – The shift of the membrane potential to spike.
References
See also
- master_type#
alias of
HHTypedNeuron