hh_cond_exp_traub – Hodgkin-Huxley model for Brette et al (2007) review

Description

hh_cond_exp_traub is an implementation of a modified Hodgkin-Huxley model.

This model was specifically developed for a major review of simulators [1], based on a model of hippocampal pyramidal cells by Traub and Miles [2]. The key differences between the current model and the model in [2] are:

  • This model is a point neuron, not a compartmental model.

  • This model includes only I_Na and I_K, with simpler I_K dynamics than in [2], so it has only three instead of eight gating variables; in particular, all Ca dynamics have been removed.

  • Incoming spikes induce an instantaneous conductance change followed by exponential decay instead of activation over time.

This model is primarily provided as reference implementation for hh_coba example of the Brette et al (2007) review. Default parameter values are chosen to match those used with NEST 1.9.10 when preparing data for [1]. Code for all simulators covered is available from ModelDB [3].

Note

In this model, a spike is emitted if \(V_m \geq V_T + 30\) mV and \(V_m\) has fallen during the current time step.

To avoid multiple spikes from occurring during the falling flank of a spike, it is essential to choose a sufficiently long refractory period. Traub and Miles used \(t_{ref} = 3\) ms ([2], p 118), while we used \(t_{ref} = 2\) ms in [2].

For further details on asynchronicity in spike and firing events with Hodgkin Huxley models see here.

Parameters

The following parameters can be set in the status dictionary.

V_m

mV

Membrane potential

V_T

mV

Voltage offset that controls dynamics. For default parameters, V_T = -63mV results in a threshold around -50mV.

E_L

mV

Leak reversal potential

C_m

pF

Capacity of the membrane

g_L

nS

Leak conductance

tau_syn_ex

ms

Time constant of the excitatory synaptic exponential function

tau_syn_in

ms

Time constant of the inhibitory synaptic exponential function

t_ref

ms

Duration of refractory period (see Note).

E_ex

mV

Excitatory synaptic reversal potential

E_in

mV

Inhibitory synaptic reversal potential

E_Na

mV

Sodium reversal potential

g_Na

nS

Sodium peak conductance

E_K

mV

Potassium reversal potential

g_K

nS

Potassium peak conductance

I_e

pA

External input current

References

Sends

SpikeEvent

Receives

SpikeEvent, CurrentEvent, DataLoggingRequest

See also

Neuron, Hodgkin-Huxley, Conductance-Based

Examples using this model

None