Cerebellar purkinje cell: K and Ca channels regulate APs (Miyasho et al 2001)

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Accession:17664
We adopted De Schutter and Bower's model as the starting point, then modified the descriptions of several ion channels, such as the P-type Ca channel and the delayed rectifier K channel, and added class-E Ca channels and D-type K channels to the model. Our new model reproduces most of our experimental results and supports the conclusions of our experimental study that class-E Ca channels and D-type K channels are present and functioning in the dendrites of Purkinje neurons.
Reference:
1 . Miyasho T, Takagi H, Suzuki H, Watanabe S, Inoue M, Kudo Y, Miyakawa H (2001) Low-threshold potassium channels and a low-threshold calcium channel regulate Ca2+ spike firing in the dendrites of cerebellar Purkinje neurons: a modeling study. Brain Res 891:106-15 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell;
Brain Region(s)/Organism:
Cell Type(s): Cerebellum Purkinje GABA cell;
Channel(s): I Na,p; I Na,t; I T low threshold; I A; I K; I M; I K,Ca; I Sodium; I Calcium; I Potassium; I A, slow; I_KD;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Action Potential Initiation; Activity Patterns; Dendritic Action Potentials; Bursting; Active Dendrites; Influence of Dendritic Geometry; Detailed Neuronal Models; Action Potentials; Calcium dynamics;
Implementer(s): Miyakawa, H [Miyakawa at ls.toyaku.ac.jp];
Search NeuronDB for information about:  Cerebellum Purkinje GABA cell; I Na,p; I Na,t; I T low threshold; I A; I K; I M; I K,Ca; I Sodium; I Calcium; I Potassium; I A, slow; I_KD;
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prknj
readme
CaE.mod *
CalciumP.mod *
CaP.mod *
CaP2.mod *
CaT.mod *
K2.mod *
K22.mod *
K23.mod *
KA.mod *
KC.mod *
KC2.mod *
KC3.mod *
KD.mod *
Kdr.mod *
Kh.mod *
Khh.mod *
KM.mod *
Leak.mod *
NaF.mod *
NaP.mod *
mosinit.hoc
purkinje.hoc
purkinje.ses
                            
TITLE Delayed rectifire
 
COMMENT
  from "An Active Membrane Model of the Cerebellar Purkinje Cell
        1. Simulation of Current Clamp in Slice"
ENDCOMMENT
 
UNITS {
        (mA) = (milliamp)
        (mV) = (millivolt)
}
 
NEURON {
        SUFFIX Kdr
	USEION k WRITE ik
        RANGE  gkbar, gk, minf, hinf, mexp, hexp, ik, alpha, beta
} 
 
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
 
PARAMETER {
        v (mV)
        celsius = 37 (degC)
        dt (ms)
        gkbar	= .6 (mho/cm2)
        ek	= -85 (mV)

}
 
STATE {
        m h
}
 
ASSIGNED {
        ik (mA/cm2)
        gk minf hinf mexp hexp
}
 
BREAKPOINT {
        SOLVE states
        gk = gkbar *m*m*h
	ik = gk* (v-ek)
}
 
UNITSOFF
 
INITIAL {
	rates(v)
	m = minf
	h = hinf
}

PROCEDURE states() {  :Computes state variables m,h
        rates(v)      :             at the current v and dt.
        m = m + mexp*(minf-m)
	h = h + hexp*(hinf-h)
}

PROCEDURE rates(v) {  :Computes rate and other constants at current v.
                      :Call once from HOC to initialize inf at resting v.
        LOCAL  q10, tinc, tauh, alpha, beta, gamma, zeta, taum
:        TABLE minf, mexp, hinf, hexp DEPEND dt, celsius FROM -100 TO 100 WITH 2:00
        q10 = 3^((celsius - 37)/10)
        tinc = -dt * q10
                :"m" potassium activation system
        alpha = -0.0047*(v-8)/(exp((v-8)/(-12))-0.9999)
:		if(v == 8) {v = 8.0001}
	beta = exp((v+127)/(-30))
	minf = alpha/(alpha+beta)
        gamma = -0.0047*(v+12)/(exp((v+12)/(-12))-0.9999)
	zeta = exp((v+147)/(-30))
	taum = 1/(gamma + zeta)
	mexp = 1 - exp(tinc/taum)
                :"h" potassium activation system
        hinf = 1.0 / (1+exp((v+25)/4))
        if(v<-25) {
	tauh = 1200
	}else{
	tauh = 10
	}
	hexp = 1 - exp(tinc/tauh)
       
}

 
UNITSON


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