I&F recurrent networks with current- or conductance-based synapses (Cavallari et al. 2014)

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Recurrent networks of two populations (excitatory and inhibitory) of randomly connected Leaky Integrate-and-Fire (LIF) neurons with either current- or conductance-based synapses from the paper S. Cavallari, S. Panzeri and A. Mazzoni (2014)
1 . Cavallari S, Panzeri S, Mazzoni A (2014) Comparison of the dynamics of neural interactions between current-based and conductance-based integrate-and-fire recurrent networks. Front Neural Circuits 8:12 [PubMed]
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Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network; Neuron or other electrically excitable cell;
Brain Region(s)/Organism: Neocortex;
Cell Type(s): Abstract integrate-and-fire leaky neuron;
Gap Junctions:
Receptor(s): GabaA; AMPA;
Simulation Environment: MATLAB;
Model Concept(s): Activity Patterns;
Implementer(s): Cavallari, Stefano [stefano.cavallari at iit.it];
Search NeuronDB for information about:  GabaA; AMPA;
function n = OU_process(simulLen, Dt, tau, sigma_2, seed)
%OU_PROCESS Exact numerical solution of the Ornstein-Uhlenbeck (OU) process
%   modified by Stefano Cavallari from the original code of Daniel Charlebois
%   n = OU_process(simulLen, Dt, tau, sigma_2, seed),
%   where
%   simulLen = number of samples of the OU process in output
%   Dt = time step of the OU process in output. Units of (ms)
%   tau = relaxation time of the OU process, see eq. 2 of Cavallari et al
%   2014. Units of (ms)
%   note that Dt and tau must have the same units of time (not necessarily ms)
%   sigma_2 = it is the variance(i.e. sigma^2) of the OU process in output
%   (see eq. 2 of Cavallari et al 2014). The units of sigma^2 set the units
%   of the OU process in output. Units of [(spikes/ms)/Dt]
%   seed = seed for the random number generator (integer number)
%   The OU process equation can be written as (Gillespie 1996):
%   dn/dt = -n/tau + sqrt(c) * eta(t) 
%   and the parameter c (diffusion constant) corresponds to (2*sigma^2/tau) 
%   with sigma e tau defined as in the eq. 2 of Cavallari et al 2014



n(1) = 0;

for i=2:simulLen
   r1 = randn;
   n(i) = n(i-1)*exp(-Dt/tau) + sqrt((c*tau*0.5)*(1-(exp(-Dt/tau))^2))*r1;