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

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) Post-synaptic currents
Incoming spike events induce a post-synaptic change of current modelled
by an alpha function. The alpha function is normalised 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).


The following parameters can be set in the status dictionary.

V_m double - Membrane potential in mV
E_L double - Resting membrane potential in mV.
g_L double - Leak conductance in nS.
C_m double - Capacity of the membrane in pF.
tau_syn_ex double - Rise time of the excitatory synaptic alpha function in ms.
tau_syn_in double - Rise time of the inhibitory synaptic alpha function in ms.
E_Na double - Sodium reversal potential in mV.
g_Na double - Sodium peak conductance in nS.
E_K double - Potassium reversal potential in mV.
g_Kv1 double - Potassium peak conductance in nS.
g_Kv3 double - Potassium peak conductance in nS.
Act_m double - Activation variable m
Act_h double - Activation variable h
Inact_n double - Inactivation variable n
I_e double - Constant external input current in pA.

SpikeEvent, GapJunctionEvent, CurrentEvent, DataLoggingRequest  

SpikeEvent, GapJunctionEvent  


Spiking Neuron Models:
Single Neurons, Populations, Plasticity
Wulfram Gerstner, Werner Kistler, Cambridge University Press

Mancilla, J. G., Lewis, T. J., Pinto, D. J.,
Rinzel, J., and Connors, B. W.,
Synchronization of electrically coupled pairs
of inhibitory interneurons in neocortex,
J. Neurosci. 27, 2058-2073 (2007),
doi: 10.1523/JNEUROSCI.2715-06.2007 (parameters taken from here)

Hodgkin, A. L. and Huxley, A. F.,
A Quantitative Description of Membrane Current
and Its Application to Conduction and Excitation in Nerve,
Journal of Physiology, 117, 500-544 (1952)

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

Jan Hahne, Moritz Helias, Susanne Kunkel  
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