brainpy.dyn.channels.Ih#

class brainpy.dyn.channels.Ih(size, g_max=10.0, E=- 90.0, phi=1.0, method='exp_auto', name=None)[source]#

The hyperpolarization-activated cation current model.

The hyperpolarization-activated cation current model is adopted from (Huguenard, et, al., 1992) 1. Its dynamics is given by:

\[\begin{split}\begin{aligned} I_h &= g_{\mathrm{max}} p \\ \frac{dp}{dt} &= \phi \frac{p_{\infty} - p}{\tau_p} \\ p_{\infty} &=\frac{1}{1+\exp ((V+75) / 5.5)} \\ \tau_{p} &=\frac{1}{\exp (-0.086 V-14.59)+\exp (0.0701 V-1.87)} \end{aligned}\end{split}\]

where \(\phi=1\) is a temperature-dependent factor.

Parameters
  • g_max (float) – The maximal conductance density (\(mS/cm^2\)).

  • E (float) – The reversal potential (mV).

  • phi (float) – The temperature-dependent factor.

References

1

Huguenard, John R., and David A. McCormick. “Simulation of the currents involved in rhythmic oscillations in thalamic relay neurons.” Journal of neurophysiology 68, no. 4 (1992): 1373-1383.

__init__(size, g_max=10.0, E=- 90.0, phi=1.0, method='exp_auto', name=None)[source]#

Methods

__init__(size[, g_max, E, phi, method, name])

current(V)

derivative(p, 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)

Reset function which reset the whole variables 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(t, dt, V)

The function to specify the updating rule.

vars([method, level, include_self])

Collect all variables in this node and the children nodes.

Attributes

global_delay_targets

global_delay_vars

name

steps