% # iGABAA_IN_IN_JB12: % % Normalized synaptic GABA-Aergic inhibitory current, with synaptic % depression and minis, FROM the interneuron axo-soma TO pyramidal % dendrite PYdr<-IN connection used in the DynaSim % implementation of (Benita et al., 2012). % % - Dependencies: % - netconNearestNeighbors.m % % - References: % - Benita, J. M., Guillamon, A., Deco, G., & Sanchez-Vives, M. % V. (2012). Synaptic depression and slow oscillatory activity % in a biophysical network model of the cerebral cortex. % Frontiers in Computational Neuroscience, 6. % https://doi.org/10.3389/fncom.2012.00064 % % - Tags: synapse, connection, inhibition, gabaa %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Parameters % For DynaSim, we need to convert synaptic maximal conductance from % absolute to area-relative terms, while also converting the units to % mS/cm^2 to keep pace with the rest of the equations: % % 0.165 nS (gGABAA II) / 0.02 mm^2 (interneuron area) * ... % 1 mS / 1000000 nS * 100 mm^2 / 1 cm^2 = ... % 0.000825 mS/cm^2 % gGABAA = 0.000825 % mS/cm^2 EGABAA = -70 % mV alpha = 1 tauGABAA = 5 % ms deprFactor = 0.9 tauRes = 400 % ms % Initial conditions sGABAAIC = 0.0 sGABAANoiseIC = 0.1 resIC = 0.8 resNoiseIC = 0.1 % Propofol-modifying parameters propoCondMult = 1 propoTauMult = 1 % Connectivity % Connective radius, aka how many target cells each source cell connects % to, from the source's perspective. radius = 10 % Remove autapses to the dendrite corresponding to this soma removeRecurrentBool = 1 % We also need to normalize the conductance in mS/cm^2 by the number % of connections each target cell is receiving on average, so that % the TOTAL sum of their conductive inputs adds to our overall % maximal conductance above. normalizingFactor = min(((2*radius + (1-removeRecurrentBool)) / (N_post/N_pre)), N_pre) % Note that what is passed is 2x the radius netcon = netconNearestNeighbors(2*radius, N_pre, N_post, removeRecurrentBool) % Functions IGABAA_IN_IN_JB12(X,sGABAA,rec) = -propoCondMult.*gGABAA/normalizingFactor.*((res.*sGABAA)*netcon).*(X-EGABAA) monitor IGABAA_IN_IN_JB12 % This is the synaptic activity state variable sGABAA' = alpha./(1 + exp(-(X_pre - 20)./2)) - sGABAA./(tauGABAA*propoTauMult) sGABAA(0) = sGABAAIC+sGABAANoiseIC.*rand(1,N_pre) % This is the 'resources' state variable res' = (1 - res)./tauRes + max((t-tspike_pre)<=(2*dt)).*(-(1 - res)./tauRes + (deprFactor.*res - res)./dt) res(0) = resIC-resNoiseIC.*rand(1,N_pre) % Linker @current += IGABAA_IN_IN_JB12(X_post,sGABAA,res)