/*--------------------------------------------------------------------------
Author: Thomas Nowotny
Institute: Institute for Nonlinear Dynamics
University of California San Diego
La Jolla, CA 92093-0402
email to: tnowotny@ucsd.edu
initial version: 2005-08-17
--------------------------------------------------------------------------*/
#ifndef CN_ECNEURON_CC
#define CN_ECNEURON_CC
#include "CN_neuron.cc"
ECneuron::ECneuron(int inlabel, double *the_p= ECN_p):
neuron(inlabel, ECN_IVARNO, ECNEURON, the_p, ECN_PNO)
{
}
ECneuron::ECneuron(int inlabel, vector<int> inpos, double *the_p= ECN_p):
neuron(inlabel, ECN_IVARNO, ECNEURON, inpos, the_p, ECN_PNO)
{
}
inline double ECneuron::E(double *x)
{
assert(enabled);
return x[idx];
}
void ECneuron::derivative(double *x, double *dx)
{
Isyn= 0.0;
forall(den, den_it) {
Isyn+= (*den_it)->Isyn(x);
}
// differential eqn for E, the membrane potential
dx[idx]= -((pw3(x[idx+1])*x[idx+2]*p[0]+p[2]*x[idx+4])*(x[idx]-p[1]) +
pw4(x[idx+3])*p[3]*(x[idx]-p[4])+
p[7]*(x[idx+5]*0.65+x[idx+6]*0.35)*(x[idx]-p[8])+
p[5]*(x[idx]-p[6])-Isyn+2.85)/p[9];
// diferential eqn for m, the probability for one Na channel activation
// particle
_a= -0.1*(x[idx]+23)/(exp(-0.1*(x[idx]+23))-1);
_b= 4*exp(-(x[idx]+48)/18);
dx[idx+1]= _a*(1.0-x[idx+1])-_b*x[idx+1];
// differential eqn for h, the probability for the Na channel blocking
// particle to be absent
_a= 0.07*exp(-(x[idx]+37)/20);
_b= 1/(exp(-0.1*(x[idx]+7))+1);
dx[idx+2]= _a*(1.0-x[idx+2])-_b*x[idx+2];
// differential eqn for n, the probability for one K channel activation
// particle
_a= -0.01*(x[idx]+27)/(exp(-0.1*(x[idx]+27))-1);
_b= 0.125*exp(-(x[idx]+37)/80);
dx[idx+3]= _a*(1.0-x[idx+3])-_b*x[idx+3];
_a= 1/(0.15*(1+exp(-(x[idx]+38)/6.5)));
_b= exp(-(x[idx]+38)/6.5)/(0.15*(1+exp(-(x[idx]+38)/6.5)));
dx[idx+4]= _a*(1.0-x[idx+4])-_b*x[idx+4];
// differential equation for the Ihf activation variable
_a= 1/(1+exp((x[idx]+79.2)/9.78));
_b= 0.51/(exp((x[idx]-1.7)/10)+exp(-(x[idx]+340)/52))+1;
dx[idx+5]= (_a-x[idx+5])/_b;
// differential equation for the Ihs activation variable
_a= 1/(1+exp((x[idx]+71.3)/7.9));
_b= 5.6/(exp((x[idx]-1.7)/14)+exp(-(x[idx]+260)/43))+1;
dx[idx+6]= (_a-x[idx+6])/_b;
}
#endif
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