% Single trial for the network of 30 Wong-Wang areas
%
% Jorge F. Mejias, 2022
%
function [rate,totalinput2,totalinput3]=trial(lesionarea,par,Iext,Nareas,Tpulse)
% we rewrite the par structure into local parameters for readiness:
dt=par.dt;triallength=par.triallength;
transient=par.transient;tau=par.tau;
tstep=par.tstep;tstep2=par.tstep2;
Jnsgrad=par.Jnsgrad;Jniegrad=par.Jniegrad;
gamma=par.gamma;gammai=par.gammai;
ae=par.ae;be=par.be;de=par.de;
invgi=par.invgi;c1=par.c1;c0=par.c0;r0=par.r0;
J=par.J;inputbg=par.inputbg;
We=(par.We)';Wi=(par.Wi)'; %this form (pre,post) is more convenient here
auxones=ones(3,Nareas);
%we set up the variables for this trial:
irate=zeros(6,Nareas);
iratenew=zeros(6,Nareas);
rate=zeros(6,round(triallength/dt),Nareas);
totalinput=zeros(3,Nareas);
totalinput2=zeros(3,Nareas,100);totalinput3=totalinput2;
inoise=zeros(3,Nareas);
transfer=zeros(3,Nareas);
xi=normrnd(0,1,3,round(triallength/dt),Nareas); %noise
input=zeros(3,Nareas);
ounoise=zeros(3,Nareas);
%first iteration:
rate(1:3,1,:)=5*(1+tanh(2.*xi(:,1,:))); %r1,2,3 --> [0,10] spikes/s
rate(4:6,1,:)=0; %S1,2,3
%Now we start the real simulation:
i=2;kk=1;
for time=2*dt:dt:triallength
%we set the instantaneous rates and conductances for computations:
irate(:,:)=rate(:,i-1,:); %6x30
%noise (OU process):
inoise(:,:)=xi(:,i-1,:);
ounoise(:,:)=ounoise(:,:)+tstep(1:3,:).*(-ounoise(:,:))+...
tstep2(1:3,:).*inoise;
%total input to r1,2,3 of each area:
input=inputbg+ounoise; %3x30
if time>=4 && time<(4+Tpulse);
input=input+Iext;
end
%local interactions through regular connections:
totalinput(:,:)=input+J*irate(:,:); %3x30, J*irate is (3x6)*(6x30)
%local interactions through area-dependent connections (gradients):
totalinput(1,:)=totalinput(1,:)+Jnsgrad.*irate(4,:);
totalinput(2,:)=totalinput(2,:)+Jnsgrad.*irate(5,:);
totalinput(3,:)=totalinput(3,:)+Jniegrad.*(irate(4,:)+irate(5,:));
%interareal projections (I cells receive from both E populations):
totalinput(1,:)=totalinput(1,:)+irate(4,:)*We;
totalinput(2,:)=totalinput(2,:)+irate(5,:)*We;
totalinput(3,:)=totalinput(3,:)+(irate(4,:)+irate(5,:))*Wi;
%Input after transfer functions. Excitatory populations:
transfer(1:2,:)=(ae.*totalinput(1:2,:)-be)./(auxones(1:2,:)...
-exp(-de*(ae.*totalinput(1:2,:)-be)));
%Inhibitory populations:
%threshold-linear f-I curve:
transfer(3,:)=invgi*c1.*totalinput(3,:)-invgi*c0+r0;
%transfer(3,transfer(3,:)<0)=0;
%we evolve the firing rates of all areas:
iratenew(1:3,:)=irate(1:3,:)+tstep(1:3,:).*(-irate(1:3,:)+transfer(:,:));
%and also the NMDA conductances:
taun=tau(4);taug=tau(6);
iratenew(4:5,:)=irate(4:5,:)+tstep(4:5,:).*...
(-irate(4:5,:)+gamma*taun*(ones(2,Nareas)-irate(4:5,:)).*irate(1:2,:));
%and GABA conductances:
iratenew(6,:)=irate(6,:)+tstep(6,:).*(-irate(6,:)+taug*gammai.*irate(3,:));
%lesion on area j (V2=2, V4=3, MT=5, LIP=22, TEpd=19, 9/46d=17, ProM=25, 24c=30)
if lesionarea ~= 0
j=lesionarea;iratenew(1:6,j)=0;
end
%save the input levels:
if time>=(triallength-1) && kk<=size(totalinput2,3)
%totalinput2 is for the gradient-affected local weights:
totalinput2(1,:,kk)=Jnsgrad.*irate(4,:);
totalinput2(2,:,kk)=Jnsgrad.*irate(5,:);
totalinput2(3,:,kk)=Jniegrad.*(irate(4,:)+irate(5,:));
%totalinput3 is for the long-range input:
totalinput3(1,:,kk)=irate(4,:)*We;
totalinput3(2,:,kk)=irate(5,:)*We;
totalinput3(3,:,kk)=(irate(4,:)+irate(5,:))*Wi;
kk=kk+1;
end
%update and index iteration:
rate(:,i,:)=iratenew(:,:);i=i+1;
end