model of DCN pyramidal neuron
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TITLE kht.mod The high threshold conductance of cochlear nucleus neurons
COMMENT
NEURON implementation of Jason Rothman's measurements of VCN conductances.
This file implements the high threshold potassium current found in several brainstem
nuclei of the auditory system, including the spherical and globular bushy cells
(Manis and Marx, 1991; Rothman and Manis, 2003a,b) and multipolar (stellate)
cells of the ventral cochlear nucleus, principal cells of the medial
nucleus of the trapzoid body (Brew and Forsythe, 1995, Wang and Kaczmarek,
1997) and neurons of the medial superior olive. The current is likely mediated by
Kv3.1 potassium channel subunits. The specific
implementation is described in Rothman and Manis, J. Neurophysiol. 2003, in the
appendix. Measurements were made from isolated neurons from adult guinea pig,
under reasonably stringent voltage clamp conditions. The measured current is
sensitive to 4-aminopyridine and TEA, but is spared by mamba snake toxi
dendrotoxin I.
Similar conductrances are found in the homologous neurons of the avian auditory
system (Reyes and Rubel; Zhang and Trussell; Rathouz and Trussell), and the
conductance described here, in the absence of more detailed kinetic measurements
, is probably suitable for use in modeling that system.
Original implementation by Paul B. Manis, April (JHU) and Sept, (UNC)1999.
File split implementation, February 28, 2004.
Contact: pmanis@med.unc.edu
ENDCOMMENT
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
(nA) = (nanoamp)
}
NEURON {
THREADSAFE
SUFFIX kht
USEION k READ ek WRITE ik
RANGE gbar, gkht, ik, q10g
GLOBAL ninf, pinf, ntau, ptau
}
:INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
ASSIGNED {
celsius (degC) : model is defined on measurements made at room temp in Baltimore: 22 degC
ik (mA/cm2)
ek (mV)
gkht (mho/cm2)
pinf ninf
ptau (ms)
ntau (ms)
qg () : computed q10 for gnabar based on q10g
q10 ()
}
PARAMETER {
v (mV)
dt (ms)
gbar = 0.01592 (mho/cm2) <0,1e9>
nf = 0.85 <0,1> :proportion of n vs p kinetics
q10tau = 3.0
q10g = 2.0
}
STATE {
n p
}
LOCAL nexp, pexp
BREAKPOINT {
SOLVE states METHOD cnexp
gkht = qg*gbar*(nf*(n^2) + (1-nf)*p)
ik = gkht*(v - ek)
}
INITIAL {
qg = q10g^((celsius-22)/10 (degC))
q10 = q10tau^((celsius - 22)/10 (degC))
rates(v)
p = pinf
n = ninf
}
DERIVATIVE states { :Computes state variables m, h, and n
rates(v) : at the current v and dt.
n' = (ninf - n)/ntau
p' = (pinf - p)/ptau
}
PROCEDURE rates(v (mV)) { :Computes rate and other constants at current v.
:Call once from HOC to initialize inf at resting v.
ninf = (1 + exp(-(v + 15) / 5 (mV)))^-0.5
pinf = 1 / (1 + exp(-(v + 23) / 6 (mV)))
ntau = (100 (ms)/ (11*exp((v+60) / 24 (mV)) + 21*exp(-(v+60) / 23 (mV)))) + 0.7
ntau = ntau/q10
ptau = (100 (ms)/ (4*exp((v+60) / 32 (mV)) + 5*exp(-(v+60) / 22 (mV)))) + 5
ptau = ptau/q10
}