[Neuroscience] Thalamocortical Neurons

Kamal J. AbuHassan via neur-sci%40net.bio.net (by kamal.abuhassan from hotmail.com)
Thu Feb 18 13:46:53 EST 2010


Hi,

I have started to study Izhikevich's large scale model of mammalian thalamocortical systems, I have tried to simulate the neuronal model : v=(k*(v(i)-vr)*(v(i)-vt)-u(i)+I(i))/C and u=a*(b*(v(i)-vr)-u(i)) using the parameters in fig. 10 of the appendix (for Thalamocortical Neurons: C=200; vr=-60; vt=-50; k=1.6;a=0.1; b=15 or zero depending on v; c=-60; d=10;vpeak=40;) to get the burst firing pattern of Thalamocortical Neurons (see fig.3A of the paper) but the model always generate the results for the tonic firing pattern, I am using the following matlab code from Izhikevich's book, chapter 8:

C=200; vr=-60; vt=-50; k=1.6; % parameters used for (TC) 
a=0.1; b=15; c=-60; d=10; % 
vpeak=40; % spike cutoff
T=1000; tau=1; % time span and step (ms)
n=round(T/tau); % number of simulation steps
v=vr*ones(1,n); u=0*v; % initial values
I=[zeros(1,0.1*n),200*ones(1,0.9*n)];% pulse of input DC current
for i=1:n-1 % forward Euler method
if v(i)>=-60
b=0;
end;
v(i+1)=v(i)+tau*(k*(v(i)-vr)*(v(i)-vt)-u(i)+I(i))/C;
u(i+1)=u(i)+tau*a*(b*(v(i)-vr)-u(i));
if v(i+1)>=vpeak % a spike is fired!
v(i)=vpeak; % padding the spike amplitude
v(i+1)=c; % membrane voltage reset
u(i+1)=u(i+1)+d; % recovery variable update
end;
end;
plot(tau*(1:n), v); % plot the result


Can you help me please ?

Thanks,
Kamal.
 		 	   		  
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