File: K_P.mod

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: Comment: The persistent component of the K current
: Reference:		Voltage-gated K+ channels in layer 5 neocortical pyramidal neurones from young rats:subtypes and gradients,Korngreen and Sakmann, J. Physiology, 2000


NEURON	{
	SUFFIX K_P
	USEION k READ ek WRITE ik
	RANGE gbar, g, ik
}

UNITS	{
	(S) = (siemens)
	(mV) = (millivolt)
	(mA) = (milliamp)
}

PARAMETER	{
	gbar = 0.00001 (S/cm2)
	vshift = 0 (mV)
	tauF = 1
}

ASSIGNED	{
	v	(mV)
	ek	(mV)
	ik	(mA/cm2)
	g	(S/cm2)
	celsius (degC)
	mInf
	mTau
	hInf
	hTau
}

STATE	{
	m
	h
}

BREAKPOINT	{
	SOLVE states METHOD cnexp
	g = gbar*m*m*h
	ik = g*(v-ek)
}

DERIVATIVE states	{
	rates()
	m' = (mInf-m)/mTau
	h' = (hInf-h)/hTau
}

INITIAL{
	rates()
	m = mInf
	h = hInf
}

PROCEDURE rates() {
  LOCAL qt
  qt = 2.3^((celsius-21)/10)
	UNITSOFF
		mInf =  1 / (1 + exp(-(v - (-14.3 + vshift)) / 14.6))
    if (v < -50 + vshift){
    	mTau = tauF * (1.25+175.03*exp(-(v - vshift) * -0.026))/qt
    } else {
      mTau = tauF * (1.25+13*exp(-(v - vshift) * 0.026))/qt
    }
		hInf =  1/(1 + exp(-(v - (-54 + vshift))/-11))
		hTau =  (360+(1010+24*(v - (-55 + vshift)))*exp(-((v - (-75 + vshift))/48)^2))/qt
	UNITSON
}