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 P calcium current
 
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 CaP
        USEION ca READ cai, cao WRITE ica
        RANGE  gcabar, ica, gca, minf, hinf, mexp, hexp
} 
 
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
 
PARAMETER {
        v (mV)
        celsius = 37 (degC)
        dt (ms)
        gcabar = .0045 (mho/cm2)
        eca = 135 (mV)
	cai	= 0.40e-4 (mM)		: adjusted for eca=135mV
	cao	= 2.4	(mM)

}
 
STATE {
        m h
}
 
ASSIGNED {
        ica (mA/cm2)
        gca minf hinf mexp hexp 
}
 
BREAKPOINT {
        SOLVE states
        gca = gcabar * m*h
	ica = gca* (v-eca)
}
 
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, alpha, beta, sum
        TABLE minf, mexp, hinf, hexp DEPEND dt, celsius FROM -100 TO 100 WITH 200
        q10 = 3^((celsius - 37)/10)
        tinc = -dt * q10
                :"m" calcium activation system
        alpha = 8.5/(1+exp((v-8)/(-12.5)))
        beta =  35/(1+exp((v+74)/14.5))
        sum = alpha + beta
        minf = alpha/sum
        mexp = 1 - exp(tinc*sum)
                :"h" calcium inactivation system
        alpha = 0.0015/(1+exp((v+29)/8))
        beta = 0.0055/(1+exp((v+23)/(-8)))
        sum = alpha + beta
        hinf = alpha/sum
        hexp = 1 - exp(tinc*sum)
}

 
UNITSON


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