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theory_caller.m
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theory_caller.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% celltype = 'pyr' % pyr, pv_ or som
Npar = 40;
c = .1;
if length(celltype)==3
if celltype=='pyr'
par_pyr;
R_vec = linspace(2,4.2,Npar); % for pyr
elseif celltype=='som'
par_som;
R_vec = linspace(1.25,3.1,Npar); % for som
end
elseif length(celltype)==2
if celltype=='pv'
par_pv;
R_vec = linspace(1.5,3,Npar); % for pv
end
elseif length(celltype)==4
if celltype=='test'
par_test;
R_vec = linspace(6.5,9,Npar);
end
elseif length(celltype)==11
if celltype=='pyr_current'
par_pyr;
% RI = 3;
% RE = 3;
R_vec = linspace(2,20,Npar);
% R_vec = linspace(0,2,Npar);
end
else
error('set cell type at line 7: pyr, pv or som or pyr_current')
end
T = (1:200);
nT = length(T);
r_vec = zeros(Npar,1);
cov_vec = zeros(Npar,nT);
var_vec = zeros(Npar,nT);
sig_vec = zeros(Npar,1);
tau_vec = zeros(Npar,1);
gain_vec = zeros(Npar,1);
N = 2;
nfreq = 2^12;
l_f = .001/1000;
h_f = 500/1000;
freq = linspace(l_f,h_f,nfreq);
% solve for firing rates via fixed point iteration
params = zeros(13,1);
params(1) = gL;
params(2) = C;
params(3) = Delta;
params(4) = VT;
params(5) = VL;
params(6) = Vth;
params(7) = Vlb;
params(8) = dV;
params(9) = Vr;
params(10) = tref;
params(11) = tau_x;
params(12) = Vx;
params(13) = gx;
tau = C/gL;
num_rate_fp_its = 1;
Veff = (VL + tau*RE*g0E*VE + tau*RI*g0I*VI)/(1 + tau*RE*g0E + tau*RI*g0I);
sigma2 = (g0E^2)*RE*(VE-Veff)^2 + (g0I^2)*RI*(VI-Veff)^2;
u1 = 1;
mu = 0;
for np=1:Npar
RE = R_vec(np);
%%% diffusion approximation
if length(celltype)==11
if celltype == 'pyr_current'
taueff = tau;
geff = gL;
% mu = R_vec(np);
Veff = (VL + tau*RE*g0E*VE + tau*RI*g0I*VI)/(1 + tau*RE*g0E + tau*RI*g0I);
sigma2 = (g0E^2)*RE*(VE-Veff)^2 + (g0I^2)*RI*(VI-Veff)^2;
else
error('length(celltype) = 11 but celltype ~= pyr_current');
end
else
taueff = tau/(1 + tau*RE*g0E + tau*RI*g0I);
geff = C/taueff;
Veff = (VL + tau*RE*g0E*VE + tau*RI*g0I*VI)/(1 + tau*RE*g0E + tau*RI*g0I);
sigma2 = (g0E^2)*RE*(VE-Veff)^2 + (g0I^2)*RI*(VI-Veff)^2;
end
% Veff = (VL + tau*RE*g0E*VE + tau*RI*g0I*VI)/(1 + tau*RE*g0E + tau*RI*g0I);
% sigma2 = (g0E^2)*RE*(VE-Veff)^2 + (g0I^2)*RI*(VI-Veff)^2;
% Deltaeff = taueff*Delta/tau;
params(1) = geff;
params(5) = Veff;
% params(3) = Deltaeff;
[P0,p0,~,r0,x0] = theory0(mu,sigma2,params,xi); %initial estimate
[At,x1,V1] = theory_EIFresp(params,x0,mu,sigma2,xi,u1,r0,P0,p0,freq);
[f0] = theory_EIFfpt(params,mu,sigma2,freq);
Ct0 = r0.*(1+2.*real(f0./(1-f0))); %renewal power spectrum
nT = length(T);
covT=zeros(nT,1);
k_T=zeros(nfreq,nT);
D = (geff/C)*sqrt(2*(C/geff)*sigma2);
Pss = c*D^2;
for t=1:nT
k_T(:,t)=(sin(pi.*freq.*T(t)).^2)./(pi^2.*freq.^2);
cov_vec(np,t)=trapz(freq,Pss.*k_T(:,t).*abs(At).^2);
var_vec(np,t)=trapz(freq,(Ct0+Pss.*abs(At).^2).*k_T(:,t));
end
r_vec(np) = r0;
sig_vec(np) = sqrt(sigma2);
tau_vec(np) = taueff;
gain_vec(np) = abs(At(1));
end