parfor s=0:1:15 % set number, Am=s*10 %pA
N=6000001; % total simulation time, ms (+1 to take into account the last bin)
sw=6000; % duration of one sweep
dsw=6000; % change of the sweep
av=round(N/sw); % number of sweeps
dt=0.1; %ms
% cell 1
c=268;
gl=8.47;
el=-51.31;
vt=-53.23;
delta=0.85;
vreset=-60.35;
a=37.79; tauw=20.76; b=441.12;
% parameters for external biexponential intput
Am=s*10; % pA, optimal for inhibition
taus1=1.5; % ms, rise constant
taus2=10; % ms, decay constant
ts=3000; % STIMULUS TIME!
% number of spikes
A(1)=0;
tT=20; % delta bin, ms
bin=20; % initial size of a bin, ms
vspike=0;
Ihold=-150;
sigma=60;
corr=2;
temp=0;
j=0;
k=0;
v(1)=-55;
w(1)=0;
input(1)=Ihold;
% t(1)=0;
% zero initial conditions for external stimuli
in(1)=0;
m(1)=0;
tt(1)=1;
time=0;
% bassin of attraction
vb=importdata('vb-150.mat');
wb=importdata('wb-150.mat');
for i=2:1:round(N/dt)
t=(i-1)*dt;
% additional stimulus
% delta function approximation
if t==ts
stim=1/dt;
else
stim=0;
end;
% generate external stimuli
m_old=m;
in_old=in;
m=dt/taus1/taus2*(Am*(1-in_old)*stim/K(1/taus1,1/taus2)-in_old-(taus1+taus2)*m_old) + m_old;
in=m*dt + in_old;
% generate the noise and the whole stimulus
temp=temp-dt/corr*temp + sqrt(2*dt/corr)*random('normal',0,1,1,1);
input=Ihold + temp*sigma + in;
% no dendrite
v_old=v;
w_old=w;
v=dt/c*(-gl*(v_old-el)+gl*delta*exp((v_old-vt)/delta)-w_old+input) + v_old;
w=dt/tauw*(a*(v_old-el)-w_old) + w_old;
if v>vspike
v=vreset;
w=w + b;
end
% binning
if t>=bin;
bin=bin + tT;
j=j+1; % come to the next bin
if k == 0
A(j)=time;
else
A(j)=A(j) + time;
end;
tt=0; % reset time after each bin
time=0;
end;
% sweep
if t>=sw;
ts=ts+dsw;
sw=sw + dsw;
j=0; % reset the bin number
k=1; % marker for the first sweep
% v=-55; % reset for init. cond. after each sweep
% w=0;
end;
% if belongs to the bassin of attraction
if inpolygon(v,w,vb,wb) == 1
tt=tt+1; % time inside of the attraction bassin for one bin
time=tt*dt;
end
end
% normalization
A=A/tT/av;
parsave(sprintf('psthprob%d.mat', s*10), A, Am); % save the variables in file
end