: $Id: nthh.mod,v 1.6 1998/08/14 20:52:37 billl Exp $
TITLE Hippocampal HH channels
:
: Fast Na+ and K+ currents responsible for action potentials
: Iterative equations. final check on save
:
: Equations modified by Traub, for Hippocampal Pyramidal cells, in:
: Traub & Miles, Neuronal Networks of the Hippocampus, Cambridge, 1991
:
: range variable vtraub adjust threshold
:
: Written by Alain Destexhe, Salk Institute, Aug 1992
:
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
NEURON {
SUFFIX hh2
USEION na READ ena WRITE ina
USEION k READ ek WRITE ik
RANGE gnabar, gkbar, vtraub, inaf, ikf
GLOBAL m_inf, h_inf, n_inf
GLOBAL tau_m, tau_h, tau_n
GLOBAL m_exp, h_exp, n_exp, exptemp
}
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
}
PARAMETER {
gnabar = .135 (mho/cm2)
gkbar = .270 (mho/cm2)
ena = 50 (mV)
ek = -95 (mV)
celsius = 36 (degC)
exptemp = 36
dt (ms)
v (mV)
vtraub = -63 (mV)
}
STATE {
m h n
}
INITIAL {
tadj = 3.0 ^ ((celsius-exptemp)/ 10 )
evaluate_fct(v)
m = m_inf
h = h_inf
n = n_inf
}
ASSIGNED {
ina (mA/cm2)
ik (mA/cm2)
inaf (mA/cm2)
ikf (mA/cm2)
il (mA/cm2)
m_inf
h_inf
n_inf
tau_m
tau_h
tau_n
m_exp
h_exp
n_exp
tadj
}
BREAKPOINT {
SOLVE states METHOD cnexp
inaf = gnabar * m*m*m*h * (v - ena)
ikf = gkbar * n*n*n*n * (v - ek)
ina = inaf
ik = ikf
}
DERIVATIVE states { : exact Hodgkin-Huxley equations
evaluate_fct(v)
m' = (m_inf - m) / tau_m
h' = (h_inf - h) / tau_h
n' = (n_inf - n) / tau_n
}
: PROCEDURE states() { : exact when v held constant
: evaluate_fct(v)
: m = m + m_exp * (m_inf - m)
: h = h + h_exp * (h_inf - h)
: n = n + n_exp * (n_inf - n)
: VERBATIM
: return 0;
: ENDVERBATIM
: }
UNITSOFF
PROCEDURE evaluate_fct(v(mV)) { LOCAL a,b,v2
v2 = v - vtraub : convert to traub convention
a = 0.32 * (13-v2) / ( exp((13-v2)/4) - 1)
b = 0.28 * (v2-40) / ( exp((v2-40)/5) - 1)
tau_m = 1 / (a + b) / tadj
m_inf = a / (a + b)
a = 0.128 * exp((17-v2)/18)
b = 4 / ( 1 + exp((40-v2)/5) )
tau_h = 1 / (a + b) / tadj
h_inf = a / (a + b)
a = 0.032 * (15-v2) / ( exp((15-v2)/5) - 1)
b = 0.5 * exp((10-v2)/40)
tau_n = 1 / (a + b) / tadj
n_inf = a / (a + b)
m_exp = 1 - exp(-dt/tau_m)
h_exp = 1 - exp(-dt/tau_h)
n_exp = 1 - exp(-dt/tau_n)
}
UNITSON