model of DCN pyramidal neuron
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TITLE nap.mod Persistent sodium conductance
COMMENT
Persistent sodium current from deSchutter and Bower, J. Neurophys.
71:375, 1994.
2/10/02, 10/10/2014. P. Manis.
ENDCOMMENT
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
}
NEURON {
THREADSAFE
SUFFIX nap
USEION na READ ena WRITE ina
RANGE nap_inf, nap_tau, napi_inf, napi_tau
RANGE gbar, gnap
RANGE nap_A, nap_B, nap_C, nap_D, nap_E, nap_F, nap_G, nap_H
}
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
PARAMETER {
v (mV)
celsius (degC)
dt (ms)
ena (mV) : = 50.0 (mV)
gbar = 0.00001 (mho/cm2) <0,1e9>
q10tau = 3.0
q10g = 2.0
nap_shift = 0 (mV)
nap_A = 200 (/ms): parameters from Bowers et al.
nap_B = 1
nap_C = -18 (mV)
nap_D = -16 (mV)
nap_E = 25 (/ms)
nap_F = 1
nap_G = 58 (mV)
nap_H = 8 (mV)
}
STATE {
nap napi
}
ASSIGNED {
gnap (mho/cm2)
ina (mA/cm2)
nap_inf
nap_tau (ms)
nap_tau1 (/ms)
nap_tau2 (/ms)
napi_inf
napi_tau (ms)
napi_tau1 (/ms)
napi_tau2 (/ms)
qg () : computed q10 for gnabar based on q10g
q10 ()
}
BREAKPOINT {
SOLVE states METHOD cnexp
gnap = gbar*nap*nap*nap*napi
ina = gnap*(v-ena)
}
INITIAL {
qg = q10g^((celsius-22)/10 (degC))
q10 = q10tau^((celsius - 22)/10 (degC)) : if you don't like room temp, it can be changed!
rates(v)
nap = nap_inf
napi = napi_inf
}
DERIVATIVE states {
rates(v)
nap' = (nap_inf - nap) / nap_tau
napi' = (napi_inf - napi) / napi_tau
}
PROCEDURE rates(v (mV)) { :Computes rate and other constants at current v.
:Call once from HOC to initialize inf at resting v.
LOCAL x
: "nap" persistent sodium system
nap_inf = na_p(v + nap_shift)
nap_tau1 = nap_A/(nap_B + exp((v + nap_shift + nap_C)/nap_D))
nap_tau2 = nap_E/(nap_F + exp((v + nap_shift + nap_G)/nap_H))
nap_tau = 1./(nap_tau1 + nap_tau2)
:nap_tau = na_ptau(v + nap_shift)
: "nap" persistent sodium system - inactivation...
napi_inf = na_pi(v + nap_shift)
napi_tau1 = (1 (/ms)) /(0.06435/(1+exp((v + nap_shift + 73.26415)/3.71928 (mV))))
napi_tau2 = (0.13496 (/ms))/(1 +exp((v + nap_shift + 10.27853)/(-9.09334 (mV))))
napi_tau = 1 /(napi_tau1 + napi_tau2)
}
LOCAL p
FUNCTION na_p(v (mV)) { : persistent sodium activation
: Bowers
p = nap_A/(nap_B + exp((v + nap_shift + nap_C)/nap_D))
na_p = p/(p+nap_E/(nap_F + exp((v + nap_shift + nap_G)/nap_H)))
}
FUNCTION na_pi(x (mV)) { : persistent sodium inactivation
: Bowers
na_pi = 0.06435/(1+exp((x+73.26415)/3.71928 (mV)))
na_pi = na_pi/(na_pi + (0.13496/(1+exp((v+10.27853)/(-9.09334 (mV))))))
}