brainpy.dyn.channels.ICaHT
brainpy.dyn.channels.ICaHT#
- class brainpy.dyn.channels.ICaHT(size, T=36.0, T_base_p=3.55, T_base_q=3.0, g_max=2.0, V_sh=25.0, method='exp_auto', name=None)[source]#
The high-threshold T-type calcium current model.
The high-threshold T-type calcium current model is adopted from 1. Its dynamics is given by
\[\begin{split}\begin{aligned} I_{\mathrm{Ca/HT}} &= g_{\mathrm{max}} p^2 q (V-E_{Ca}) \\ {dp \over dt} &= {\phi_{p} \cdot (p_{\infty} - p) \over \tau_{p}} \\ &\tau_{p} =\frac{1}{\exp \left(\frac{V+132-V_{sh}}{-16.7}\right)+\exp \left(\frac{V+16.8-V_{sh}}{18.2}\right)}+0.612 \\ & p_{\infty} = {1 \over 1+exp[-(V+59-V_{sh}) / 6.2]} \\ {dq \over dt} &= {\phi_{q} \cdot (q_{\infty} - h) \over \tau_{q}} \\ & \begin{array}{l} \tau_q = \exp \left(\frac{V+467-V_{sh}}{66.6}\right) \quad V< (-80 +V_{sh})\, mV \\ \tau_q = \exp \left(\frac{V+22-V_{sh}}{-10.5}\right)+28 \quad V \geq (-80 + V_{sh})\, mV \end{array} \\ &q_{\infty} = {1 \over 1+exp[(V+83 -V_{shift})/4]} \end{aligned}\end{split}\]where \(phi_p = 3.55^{\frac{T-24}{10}}\) 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
References
- 1
Huguenard JR, McCormick DA (1992) Simulation of the currents involved in rhythmic oscillations in thalamic relay neurons. J Neurophysiol 68:1373–1383.
- __init__(size, T=36.0, T_base_p=3.55, T_base_q=3.0, g_max=2.0, V_sh=25.0, method='exp_auto', name=None)[source]#
Methods
__init__
(size[, T, T_base_p, T_base_q, ...])current
(V, C_Ca, E_Ca)dp
(p, t, V)dq
(q, t, V)get_delay_data
(name, delay_step, *indices)Get delay data according to the provided delay steps.
ints
([method])Collect all integrators in this node and the children nodes.
load_states
(filename[, verbose])Load the model states.
nodes
([method, level, include_self])Collect all children nodes.
register_delay
(name, delay_step, delay_target)Register delay variable.
register_implicit_nodes
(nodes)register_implicit_vars
(variables)reset
(V, C_Ca, E_Ca)Reset function which reset the whole variables in the model.
reset_delay
(name, delay_target)Reset the delay variable.
save_states
(filename[, variables])Save the model states.
train_vars
([method, level, include_self])The shortcut for retrieving all trainable variables.
unique_name
([name, type_])Get the unique name for this object.
update
(t, dt, V, C_Ca, E_Ca)The function to specify the updating rule.
update_delay
(name, delay_data)Update the delay according to the delay data.
vars
([method, level, include_self])Collect all variables in this node and the children nodes.
Attributes
global_delay_vars
name
steps