########################################################### # Space Clamped Hodgkin-Huxley model. ########################################################### # # ########################################################### # Problem definition ########################################################### # # parameter values defining model # p gk=36,gna=120,gl=0.3,cm=20 p vk=-12,vna=115,vl=10.6 # # parameters defining applied currents # and other numerical experiments # p ia1=2000,t1=5,dt1=0.2 p ia2=0,t2=7,dt2=0.2 p xm=1,xn=1,xh=1 # # function definitions # am(v)=0.1*(25-v)/(exp((25-v)/10)-1) bm(v)=4*exp(-v/18) ah(v)=0.07*exp(-v/20) bh(v)=1/(exp((30-v)/10)+1) an(v)=0.01*(10-v)/(exp((10-v)/10)-1) bn(v)=0.125*exp(-v/80) # # Applied (depolarizing) current pulse function. i(amp,t0,t1) # provides a constant current of amplitude "amp" starting at # time t0 and of duration dt # i(amp,t0,dt)=amp*(heav(t-t0)-heav(t-t0-dt)) # # ik=gk*n^4*(v-vk) ina=gna*m^3*h*(v-vna) il=gl*(v-vl) ia=i(ia1,t1,dt1)+i(ia2,t2,dt2) # # differential equations # v'=(-ik-ina-il+ia)/cm m'=(am(v)*(1-m)-bm(v)*m)*xm n'=(an(v)*(1-n)-bn(v)*n)*xn h'=(ah(v)*(1-h)-bh(v)*h)*xh # aux IK=ik aux INA=ina aux IL=il aux IA=ia aux IAX=ia/40 # # # initial conditions (optional) # v(0)=0 n(0)=0.317680 m(0)=0.052934 h(0)=0.596110 # @ total=40,xhi=40,ylo=-10,yhi=100,dt=0.1,maxstor=10000 @ bounds=10000 # d