Application of a common kinetic formalism for synaptic models (Destexhe et al 1994)

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Accession:18198
Application to AMPA, NMDA, GABAA, and GABAB receptors is given in a book chapter. The reference paper synthesizes a comprehensive general description of synaptic transmission with Markov kinetic models. This framework is applicable to modeling ion channels, synaptic release, and all receptors. Please see the references for more details. A simple introduction to this method is given in a seperate paper Destexhe et al Neural Comput 6:14-18 , 1994). More information and papers at http://cns.iaf.cnrs-gif.fr/Main.html and through email: Destexhe@iaf.cnrs-gif.fr
References:
1 . Destexhe A, Mainen ZF, Sejnowski TJ (1994) Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. J Comput Neurosci 1:195-230 [PubMed]
2 . Destexhe A, Mainen Z, Sejnowski TJ (1994) An efficient method for computing synaptic conductances based on a kinetic model of receptor binding Neural Comput 6:14-18
3 . Destexhe A, Mainen Z, Sejnowski T (1995) Fast Kinetic Models for Simulating AMPA, NMDA, GABAA and GABAB Receptors The Neurobiology of Computation, Bower J, ed. pp.9
Model Information (Click on a link to find other models with that property)
Model Type: Synapse; Electrogenic pump;
Brain Region(s)/Organism:
Cell Type(s):
Channel(s):
Gap Junctions:
Receptor(s): Nicotinic; M1; M3; M4; M5; M2; mGluR1; mGluR2; mGluR3; mGluR4; mGluR5; mGluR6; mGluR7; mGluR8; Alpha; Alpha1; Alpha2; Beta; D1; D2; 5-HT1; 5-HT2; 5-HT4; H2; GabaA; GabaB; Muscarinic; AMPA; NMDA; mGluR; 5-HT3; Kainate; Monoamine Receptors; Glutamate; Gaba; Adrenergic; Serotonin; Histamine; Cholinergic Receptors; Amino Acid Receptors; Sensory Receptors; Olfactory Receptors; Opsins; Dopaminergic Receptor; Glycine; Gaseous Receptors; NO; Peptide Receptors; Dynorphin; H1; Ion Receptors; Zn2+; CO;
Gene(s):
Transmitter(s): Acetylcholine; Glycine; Dopamine; Zn2+; NO; CO; Dynorphin; Ephinephrine; Norephinephrine; Amino Acids; Gaba; Glutamate; Monoamines; Peptides; Ions; Gases; Histamine; Serotonin;
Simulation Environment: NEURON;
Model Concept(s): Ion Channel Kinetics; Markov-type model;
Implementer(s): Destexhe, Alain [Destexhe at iaf.cnrs-gif.fr]; Mainen, Zach [Mainen at cshl.edu];
Search NeuronDB for information about:  Nicotinic; M1; M3; M4; M5; M2; mGluR1; mGluR2; mGluR3; mGluR4; mGluR5; mGluR6; mGluR7; mGluR8; Alpha; Alpha1; Alpha2; Beta; D1; D2; 5-HT1; 5-HT2; 5-HT4; H2; GabaA; GabaB; Muscarinic; AMPA; NMDA; mGluR; 5-HT3; Kainate; Monoamine Receptors; Glutamate; Gaba; Adrenergic; Serotonin; Histamine; Cholinergic Receptors; Amino Acid Receptors; Sensory Receptors; Olfactory Receptors; Opsins; Dopaminergic Receptor; Glycine; Gaseous Receptors; NO; Peptide Receptors; Dynorphin; H1; Ion Receptors; Zn2+; CO; Acetylcholine; Glycine; Dopamine; Zn2+; NO; CO; Dynorphin; Ephinephrine; Norephinephrine; Amino Acids; Gaba; Glutamate; Monoamines; Peptides; Ions; Gases; Histamine; Serotonin;
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SYN_NEW
README
ampa.mod *
ampa5.mod *
caL3d.mod *
gabaa.mod *
gabaa5.mod *
gabab.mod *
gabab3.mod
HH2.mod *
nmda.mod *
nmda5.mod *
release.mod
ampa.hoc
ampa5.hoc
gabaa.hoc
gabaa5.hoc
gabab.hoc
gabab3.hoc
mosinit.hoc *
nmda.hoc
nmda5.hoc
release.hoc
rundemo.hoc
                            
TITLE Hippocampal HH channels
:
: Fast Na+ and K+ currents responsible for action potentials
: Iterative equations
:
: Equations modified by Traub, for Hippocampal Pyramidal cells, in:
: Traub & Miles, Neuronal Networks of the Hippocampus, Cambridge, 1991
:
: range variable vtraub adjust threshold
:
: Written by Alain Destexhe, Salk Institute, Aug 1992
:
: Modified Oct 96 for compatibility with Windows: trap low values of arguments
:

INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}

NEURON {
	SUFFIX hh2
	USEION na READ ena WRITE ina
	USEION k READ ek WRITE ik
	RANGE gnabar, gkbar, vtraub
	RANGE m_inf, h_inf, n_inf
	RANGE tau_m, tau_h, tau_n
	RANGE m_exp, h_exp, n_exp
}


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

PARAMETER {
	gnabar  = .003  (mho/cm2)
	gkbar   = .005  (mho/cm2)

	ena     = 50    (mV)
	ek      = -90   (mV)
	celsius = 36    (degC)
	dt              (ms)
	v               (mV)
	vtraub  = -63   (mV)
}

STATE {
	m h n
}

ASSIGNED {
	ina     (mA/cm2)
	ik      (mA/cm2)
	il      (mA/cm2)
	m_inf
	h_inf
	n_inf
	tau_m
	tau_h
	tau_n
	m_exp
	h_exp
	n_exp
	tadj
}


BREAKPOINT {
	SOLVE states
	ina = gnabar * m*m*m*h * (v - ena)
	ik  = gkbar * n*n*n*n * (v - ek)
}


:DERIVATIVE states {   : exact Hodgkin-Huxley equations
:       evaluate_fct(v)
:       m' = (m_inf - m) / tau_m
:       h' = (h_inf - h) / tau_h
:       n' = (n_inf - n) / tau_n
:}

PROCEDURE states() {    : exact when v held constant
	evaluate_fct(v)
	m = m + m_exp * (m_inf - m)
	h = h + h_exp * (h_inf - h)
	n = n + n_exp * (n_inf - n)
	VERBATIM
	return 0;
	ENDVERBATIM
}

UNITSOFF
INITIAL {
:
:  Q10 was assumed to be 3 for both currents
:
	tadj = 3.0 ^ ((celsius-36)/ 10 )

	m = 0
	h = 0
	n = 0
}

PROCEDURE evaluate_fct(v(mV)) { LOCAL a,b,v2

	v2 = v - vtraub : convert to traub convention

:       a = 0.32 * (13-v2) / ( Exp((13-v2)/4) - 1)
	a = 0.32 * vtrap(13-v2, 4)
:       b = 0.28 * (v2-40) / ( Exp((v2-40)/5) - 1)
	b = 0.28 * vtrap(v2-40, 5)
	tau_m = 1 / (a + b) / tadj
	m_inf = a / (a + b)

	a = 0.128 * Exp((17-v2)/18)
	b = 4 / ( 1 + Exp((40-v2)/5) )
	tau_h = 1 / (a + b) / tadj
	h_inf = a / (a + b)

:       a = 0.032 * (15-v2) / ( Exp((15-v2)/5) - 1)
	a = 0.032 * vtrap(15-v2, 5)
	b = 0.5 * Exp((10-v2)/40)
	tau_n = 1 / (a + b) / tadj
	n_inf = a / (a + b)

	m_exp = 1 - Exp(-dt/tau_m)
	h_exp = 1 - Exp(-dt/tau_h)
	n_exp = 1 - Exp(-dt/tau_n)
}
FUNCTION vtrap(x,y) {
	if (fabs(x/y) < 1e-6) {
		vtrap = y*(1 - x/y/2)
	}else{
		vtrap = x/(Exp(x/y)-1)
	}
}

FUNCTION Exp(x) {
	if (x < -100) {
		Exp = 0
	}else{
		Exp = exp(x)
	}
} 

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