% Fast spike-generating Sodium current (Durstewitz, Seamans, Sejnowski 2000; iNa) (iNaf in Poirazi 2013; Na in Durstewitz & Gabriel 2006) gnaf=86; % mS/cm2, maximal conductance ENa=55; % mV, sodium reversal potential amV0=-28 % mV bmV0=-1 % mV ahV0=-43.1 % mV bhV0=-13.1 % mV hnascale=1; IC_noise=0; % Functions eps=.00000001; z(Y) = ((abs(Y)<eps).*eps+(abs(Y)>=eps).*Y) % function to avoid values too close to zero (sets values to eps if closer to zero than eps) am(X)=(-.2816*z(X-amV0))./(-1+exp(-z(X-amV0)/9.3)) % am(amV0)=.2816*9.3 bm(X)=(.2464*z(X-bmV0))./(-1+exp(z(X-bmV0)/6)) % bm(bmV0)=-.2464*6 ah(X)=hnascale.*.098./exp((X-ahV0)/20) bh(X)=hnascale.*1.4./(1+exp(-(X-bhV0)/10)) minf(X)=am(X)./(am(X)+bm(X)) mtau(X)=1./(am(X)+bm(X)) % ms hinf(X)=ah(X)./(ah(X)+bh(X)) htau(X)=1./(ah(X)+bh(X)) % ms INaF(X,m,h)=gnaf.*m.^3.*h.*(X-ENa) % mA/cm2 % ODEs and ICs m'=(minf(X)-m)./mtau(X) h'=(hinf(X)-h)./htau(X) m(0)=minf(-65)+IC_noise.*rand(1,Npop) h(0)=hinf(-65)+IC_noise.*rand(1,Npop) % Linkers @current += -INaF(X,m,h)