ICaHT_Re1993#
- class brainpy.dyn.ICaHT_Re1993(size, keep_size=False, T=36.0, T_base_p=2.3, T_base_q=2.3, phi_p=None, phi_q=None, g_max=1.0, V_sh=0.0, method='exp_auto', name=None, mode=None)[source]#
The high-threshold T-type calcium current model proposed by (Reuveni, et al., 1993) [1].
HVA Calcium current was described for neocortical neurons by Sayer et al. (1990). Its dynamics is given by (the rate functions are measured under 36 Celsius):
\[\begin{split}\begin{aligned} I_{L} &=\bar{g}_{L} q^{2} r\left(V-E_{\mathrm{Ca}}\right) \\ \frac{\mathrm{d} q}{\mathrm{~d} t} &= \phi_p (\alpha_{q}(V)(1-q)-\beta_{q}(V) q) \\ \frac{\mathrm{d} r}{\mathrm{~d} t} &= \phi_q (\alpha_{r}(V)(1-r)-\beta_{r}(V) r) \\ \alpha_{q} &=\frac{0.055(-27-V+V_{sh})}{\exp [(-27-V+V_{sh}) / 3.8]-1} \\ \beta_{q} &=0.94 \exp [(-75-V+V_{sh}) / 17] \\ \alpha_{r} &=0.000457 \exp [(-13-V+V_{sh}) / 50] \\ \beta_{r} &=\frac{0.0065}{\exp [(-15-V+V_{sh}) / 28]+1}, \end{aligned}\end{split}\]- 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 maximum conductance.
V_sh (float, ArrayType, Callable, Initializer) – The membrane potential shift.
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.
phi_p (optional, float, ArrayType, Callable, Initializer) – The temperature factor for channel \(p\). If None, \(\phi_p = \mathrm{T_base_p}^{\frac{T-23}{10}}\).
phi_q (optional, float, ArrayType, Callable, Initializer) – The temperature factor for channel \(q\). If None, \(\phi_q = \mathrm{T_base_q}^{\frac{T-23}{10}}\).
References