TITLE Cerebellum Golgi Cell Model COMMENT KDr channel Gutfreund parametrization Author: A. Fontana Last revised: 12.12.98 ENDCOMMENT NEURON { SUFFIX Golgi_KV USEION k READ ek WRITE ik RANGE gkbar, ik, g :RANGE Aalpha_n, Kalpha_n, V0alpha_n, alpha_n, beta_n :RANGE Abeta_n, Kbeta_n, V0beta_n RANGE n, n_inf, tau_n, tcorr } UNITS { (mA) = (milliamp) (mV) = (millivolt) } PARAMETER { Aalpha_n = -0.01 (/ms-mV) Kalpha_n = -10 (mV) V0alpha_n = -26 (mV) Abeta_n = 0.125 (/ms) Kbeta_n = -80 (mV) V0beta_n = -36 (mV) v (mV) gkbar= 0.032 (mho/cm2) ek (mV) celsius (degC) Q10 = 3 (1) } STATE { n } ASSIGNED { ik (mA/cm2) n_inf tau_n (ms) g (mho/cm2) alpha_n (/ms) beta_n (/ms) tcorr (1) } INITIAL { rate(v) n = n_inf } BREAKPOINT { SOLVE states METHOD derivimplicit g = gkbar*n*n*n*n ik = g*(v - ek) alpha_n = alp_n(v) beta_n = bet_n(v) } DERIVATIVE states { rate(v) n' =(n_inf - n)/tau_n } FUNCTION alp_n(v(mV))(/ms) { tcorr = Q10^((celsius-6.3(degC))/10(degC)) alp_n = tcorr*Aalpha_n*linoid(v-V0alpha_n, Kalpha_n) } FUNCTION bet_n(v(mV))(/ms) { tcorr = Q10^((celsius-6.3(degC))/10(degC)) bet_n = tcorr*Abeta_n*exp((v-V0beta_n)/Kbeta_n) } PROCEDURE rate(v (mV)) {LOCAL a_n, b_n TABLE n_inf, tau_n DEPEND Aalpha_n, Kalpha_n, V0alpha_n, Abeta_n, Kbeta_n, V0beta_n, celsius FROM -100 TO 30 WITH 13000 a_n = alp_n(v) b_n = bet_n(v) tau_n = 1/(a_n + b_n) n_inf = a_n/(a_n + b_n) } FUNCTION linoid(x (mV),y (mV)) (mV) { if (fabs(x/y) < 1e-6) { linoid = y*(1 - x/y/2) }else{ linoid = x/(exp(x/y) - 1) } }