brainpy.dyn.channels.K.IKA1_HM1992#

class brainpy.dyn.channels.K.IKA1_HM1992(size, keep_size=False, E=- 90.0, g_max=30.0, V_sh=0.0, phi_p=1.0, phi_q=1.0, method='exp_auto', name=None, mode=NormalMode)[source]#

The rapidly inactivating Potassium channel (IA1) model proposed by (Huguenard & McCormick, 1992) 2.

This model is developed according to the average behavior of rapidly inactivating Potassium channel in Thalamus relay neurons 2 1.

\[\begin{split}&IA = g_{\mathrm{max}} p^4 q (E-V) \\ &\frac{dp}{dt} = \phi_p \frac{p_{\infty} - p}{\tau_p} \\ &p_{\infty} = \frac{1}{1+ \exp[-(V -V_{sh}+ 60)/8.5]} \\ &\tau_{p}=\frac{1}{\exp \left(\frac{V -V_{sh}+35.8}{19.7}\right)+ \exp \left(\frac{V -V_{sh}+79.7}{-12.7}\right)}+0.37 \\ &\frac{dq}{dt} = \phi_q \frac{q_{\infty} - q}{\tau_q} \\ &q_{\infty} = \frac{1}{1+ \exp[(V -V_{sh} + 78)/6]} \\ &\begin{array}{l} \tau_{q} = \frac{1}{\exp((V -V_{sh}+46)/5.) + \exp((V -V_{sh}+238)/-37.5)} \quad V<(-63+V_{sh})\, mV \\ \tau_{q} = 19 \quad V \geq (-63 + V_{sh})\, mV \end{array}\end{split}\]

where \(\phi_p\) and \(\phi_q\) are the temperature dependent factors (default 1.).

Parameters
  • size (int, sequence of int) – The geometry size.

  • method (str) – The numerical integration method.

  • name (str) – The object name.

  • g_max (float, JaxArray, ndarray, Initializer, Callable) – The maximal conductance density (\(mS/cm^2\)).

  • E (float, JaxArray, ndarray, Initializer, Callable) – The reversal potential (mV).

  • V_sh (float, Array, Callable, Initializer) – The membrane potential shift.

  • phi_p (optional, float, Array, Callable, Initializer) – The temperature factor for channel \(p\).

  • phi_q (optional, float, Array, Callable, Initializer) – The temperature factor for channel \(q\).

References

2(1,2)

Huguenard, John R., and David A. McCormick. “Simulation of the currents involved in rhythmic oscillations in thalamic relay neurons.” Journal of neurophysiology 68.4 (1992): 1373-1383.

1

Huguenard, J. R., and D. A. Prince. “Slow inactivation of a TEA-sensitive K current in acutely isolated rat thalamic relay neurons.” Journal of neurophysiology 66.4 (1991): 1316-1328.

See also

IKA2_HM1992

__init__(size, keep_size=False, E=- 90.0, g_max=30.0, V_sh=0.0, phi_p=1.0, phi_q=1.0, method='exp_auto', name=None, mode=NormalMode)[source]#

Methods

__init__(size[, keep_size, E, g_max, V_sh, ...])

clear_input()

current(V)

dp(p, t, V)

dq(q, t, V)

f_p_inf(V)

f_p_tau(V)

f_q_inf(V)

f_q_tau(V)

get_delay_data(identifier, delay_step, *indices)

Get delay data according to the provided delay steps.

load_states(filename[, verbose])

Load the model states.

nodes([method, level, include_self])

Collect all children nodes.

offline_fit(target, fit_record)

offline_init()

online_fit(target, fit_record)

online_init()

register_delay(identifier, delay_step, ...)

Register delay variable.

register_implicit_nodes(*nodes, **named_nodes)

register_implicit_vars(*variables, ...)

reset(V[, batch_size])

Reset function which reset the whole variables in the model.

reset_local_delays([nodes])

Reset local delay variables.

reset_state(V[, batch_size])

Reset function which reset the states in the model.

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(tdi, V)

The function to specify the updating rule.

update_local_delays([nodes])

Update local delay variables.

vars([method, level, include_self])

Collect all variables in this node and the children nodes.

Attributes

global_delay_data

mode

Mode of the model, which is useful to control the multiple behaviors of the model.

name

Name of the model.

varshape