ICaT_HP1992#
- class brainpy.dyn.ICaT_HP1992(size, keep_size=False, T=36.0, T_base_p=5.0, T_base_q=3.0, g_max=1.75, V_sh=-3.0, phi_p=None, phi_q=None, method='exp_auto', name=None, mode=None)[source]#
The low-threshold T-type calcium current model for thalamic reticular nucleus proposed by (Huguenard & Prince, 1992) [1].
The dynamics of the low-threshold T-type calcium current model in thalamic reticular nucleus neurons [1] is given by:
\[\begin{split}I_{CaT} &= g_{max} p^2 q(V-E_{Ca}) \\ {dp \over dt} &= {\phi_p \cdot (p_{\infty}-p)\over \tau_p} \\ &p_{\infty} = {1 \over 1+\exp [-(V+52-V_{sh}) / 7.4]} \\ &\tau_{p} = 3+{1 \over \exp [(V+27-V_{sh}) / 10]+\exp [-(V+102-V_{sh}) / 15]} \\ {dq \over dt} &= {\phi_q \cdot (q_{\infty}-q) \over \tau_q} \\ &q_{\infty} = {1 \over 1+\exp [(V+80-V_{sh}) / 5]} \\ & \tau_q = 85+ {1 \over \exp [(V+48-V_{sh}) / 4]+\exp [-(V+407-V_{sh}) / 50]}\end{split}\]where \(\phi_p = 5^{\frac{T-24}{10}}\) and \(\phi_q = 3^{\frac{T-24}{10}}\) are temperature-dependent factors (\(T\) is the temperature in Celsius), \(E_{Ca}\) is the reversal potential of Calcium channel.
- Parameters:
T (float, ArrayType) – The temperature.
T_base_p (float, ArrayType) – The brainpy_object temperature factor of \(p\) channel.
T_base_q (float, ArrayType) – The brainpy_object temperature factor of \(q\) channel.
g_max (float, ArrayType, Callable, Initializer) – The maximum conductance.
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
See also
ICa_p2q_form