A simplified cerebellar Purkinje neuron (the PPR model) (Brown et al. 2011)

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Accession:126637
These models were implemented in NEURON by Sherry-Ann Brown in the laboratory of Leslie M. Loew. The files reproduce Figures 2c-f from Brown et al, 2011 "Virtual NEURON: a Strategy For Merged Biochemical and Electrophysiological Modeling".
Reference:
1 . Brown SA, Moraru II, Schaff JC, Loew LM (2011) Virtual NEURON: a strategy for merged biochemical and electrophysiological modeling. J Comput Neurosci 31(2):385-400 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell; Dendrite;
Brain Region(s)/Organism: Cerebellum;
Cell Type(s): Cerebellum Purkinje cell;
Channel(s): I Na,p; I p,q; I A; I K; I M; I K,Ca; I Sodium; I Calcium; I Potassium;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Dendritic Action Potentials; Simplified Models; Active Dendrites; Influence of Dendritic Geometry; Detailed Neuronal Models; Intrinsic plasticity; Methods; Synaptic Integration;
Implementer(s): Brown, Sherry-Ann [sabrown at student.uchc.edu];
Search NeuronDB for information about:  Cerebellum Purkinje cell; I Na,p; I p,q; I A; I K; I M; I K,Ca; I Sodium; I Calcium; I Potassium;
TITLE Anomalous rectifier
 
COMMENT
  from "An Active Membrane Model of the Cerebellar Purkinje Cell
        1. Simulation of Current Clamp in Slice"
  
  "Anomalous Rectification in Neurons from Cat Sensorimotor Cortex
    In Vitro" W.J.SPAIN, P.C.SCHWINDT, and W.E.CRILL
           JOURNAL OF NEUROPHYSIOLOGY Vol 57, No.5
ENDCOMMENT
 
UNITS {
        (mA) = (milliamp)
        (mV) = (millivolt)
}
 
NEURON {
        SUFFIX Kh
	USEION k WRITE ik
        RANGE  gkbar, gk, minf, mexp, nexp, ik
} 
 
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
 
PARAMETER {
        v (mV)
        celsius = 37 (degC)
        dt (ms)
        gkbar	= .0003 (mho/cm2)
        ek	= -30 (mV)
	mon = 1
	hon = 1
}
 
STATE {
        m 
}
 
ASSIGNED {
        ik (mA/cm2)
        gk minf  mexp nexp
}
 
BREAKPOINT {
        SOLVE states
        gk = gkbar *m
	ik = gk* (v-ek)
}
 
UNITSOFF
 
INITIAL {
	rates(v)
	m = minf
}

PROCEDURE states() {  :Computes state variables m, 
        rates(v)      :             at the current v and dt.
        m = mon * (0.8*(m + mexp*(minf-m)))
		+ hon * (0.2*(m + nexp*(minf-m)))
}
 
PROCEDURE rates(v) {  :Computes rate and other constants at current v.
                      :Call once from HOC to initialize inf at resting v.
        LOCAL  q10, tinc
        TABLE minf, mexp,nexp DEPEND dt, celsius FROM -400 TO 300 WITH 700
        q10 = 3^((celsius - 37)/10)
        tinc = -dt * q10
                :"m" potassium activation system
        minf = 1/(1+exp((v+78)/7))
        mexp = 1 - exp(tinc/38)
        nexp = 1 - exp(tinc/319)
}

 
UNITSON


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