IKK2B_HM1992v2#
- class brainpy.dyn.IKK2B_HM1992v2(size, keep_size=False, g_max=10.0, V_sh=0.0, phi_p=1.0, phi_q=1.0, method='exp_auto', name=None, mode=None)[source]#
The slowly inactivating Potassium channel (IK2b) model proposed by (Huguenard & McCormick, 1992) [2].
The dynamics of the model is given as [2] [3].
\[\begin{split}&IK2 = g_{\mathrm{max}} p q (E-V) \\ &\frac{dp}{dt} = \phi_p \frac{p_{\infty} - p}{\tau_p} \\ &p_{\infty} = \frac{1}{1+ \exp[-(V -V_{sh}+ 43)/17]} \\ &\tau_{p}=\frac{1}{\exp \left(\frac{V -V_{sh}-81.}{25.6}\right)+ \exp \left(\frac{V -V_{sh}+132}{-18}\right)}+9.9 \\ &\frac{dq}{dt} = \phi_q \frac{q_{\infty} - q}{\tau_q} \\ &q_{\infty} = \frac{1}{1+ \exp[(V -V_{sh} + 59)/10.6]} \\ &\begin{array}{l} \tau_{q} = \frac{1}{\exp((V -V_{sh}+1329)/200.) + \exp((V -V_{sh}+130)/-7.1)} + 120 \quad V<(-70+V_{sh})\, mV \\ \tau_{q} = 8.9 \quad V \geq (-70 + V_{sh})\, mV \end{array}\end{split}\]where \(\phi_p\) and \(\phi_q\) are the temperature dependent factors (default 1.).
- Parameters:
method (str) – The numerical integration method.
name (str) – The object name.
g_max (float, ArrayType, Initializer, Callable) – The maximal conductance density (\(mS/cm^2\)).
E (float, ArrayType, Initializer, Callable) – The reversal potential (mV).
V_sh (float, ArrayType, Callable, Initializer) – The membrane potential shift.
phi_p (optional, float, ArrayType, Callable, Initializer) – The temperature factor for channel \(p\).
phi_q (optional, float, ArrayType, Callable, Initializer) – The temperature factor for channel \(q\).
References