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hh_psc_alpha_gap – Hodgkin-Huxley neuron model with gap-junction support

Description

hh_psc_alpha_gap is an implementation of a spiking neuron using the Hodgkin-Huxley formalism. In contrast to hh_psc_alpha the implementation additionally supports gap junctions.

1. Postsynaptic currents Incoming spike events induce a postsynaptic change of current modelled by an alpha function. The alpha function is normalized such that an event of weight 1.0 results in a peak current of 1 pA.

2. Spike Detection Spike detection is done by a combined threshold-and-local-maximum search: if there is a local maximum above a certain threshold of the membrane potential, it is considered a spike.

3. Gap Junctions Gap Junctions are implemented by a gap current of the form \(g_{ij}( V_i - V_j)\).

Parameters

The following parameters can be set in the status dictionary.

tau_ex

ms

Rise time of the excitatory synaptic alpha function

tau_in

ms

Rise time of the inhibitory synaptic alpha function

g_K

nS

Potassium peak conductance

V_m

mV

Membrane potential

E_L

mV

Leak reversal potential

g_L

nS

Leak conductance

C_m

pF

Capacity of the membrane

tau_syn_ex

ms

Rise time of the excitatory synaptic alpha function

tau_syn_in

ms

Rise time of the inhibitory synaptic alpha function

E_Na

mV

Sodium reversal potential

g_Na

nS

Sodium peak conductance

E_K

mV

Potassium reversal potential

g_Kv1

nS

Potassium peak conductance

g_Kv3

nS

Potassium peak conductance

Act_m

real

Activation variable m

Inact_h

real

Inactivation variable h

Act_n

real

Activation variable n

I_e

pA

External input current

References

1

Gerstner W, Kistler W. Spiking neuron models: Single neurons, populations, plasticity. Cambridge University Press

2

Mancilla JG, Lewis TG, Pinto DJ, Rinzel J, Connors BW (2007). Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex, Journal of Neurosciece, 27:2058-2073 DOI: https://doi.org/10.1523/JNEUROSCI.2715-06.2007 (parameters taken from here)

3

Hodgkin AL and Huxley A F (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of Physiology 117. DOI: https://doi.org/10.1113/jphysiol.1952.sp004764

4

Hahne J, Helias M, Kunkel S, Igarashi J, Bolten M, Frommer A, Diesmann M (2015). A unified framework for spiking and gap-junction interactions in distributed neuronal netowrk simulations. Frontiers in Neuroinformatics, 9:22. DOI: https://doi.org/10.3389/fninf.2015.00022

Sends

SpikeEvent, GapJunctionEvent

Receives

SpikeEvent, GapJunctionEvent, CurrentEvent, DataLoggingRequest