Effects of spinal cord stimulation on WDR dorsal horn network (Zhang et al 2014)

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Accession:168414
" ... To study the mechanisms underlying SCS (Spinal cord stimulation), we constructed a biophysically-based network model of the dorsal horn circuit consisting of interconnected dorsal horn interneurons and a wide dynamic range (WDR) projection neuron and representations of both local and surround receptive field inhibition. We validated the network model by reproducing cellular and network responses relevant to pain processing including wind-up, A-fiber mediated inhibition, and surround receptive field inhibition. ..." See paper for more.
Reference:
1 . Zhang TC, Janik JJ, Grill WM (2014) Modeling effects of spinal cord stimulation on wide-dynamic range dorsal horn neurons: influence of stimulation frequency and GABAergic inhibition. J Neurophysiol 112:552-67 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network;
Brain Region(s)/Organism:
Cell Type(s): Wide dynamic range neuron;
Channel(s):
Gap Junctions:
Receptor(s): GabaA; AMPA; NMDA; Glutamate; Glycine;
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s):
Implementer(s): Zhang, Tianhe [tz5@duke.edu];
Search NeuronDB for information about:  GabaA; AMPA; NMDA; Glutamate; Glycine;
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ZhangEtAl2014
Critical Mod Files
AMPA_DynSyn.mod
B_A.mod
B_DR.mod
B_NA.mod
CaIntraCellDyn.mod *
GABAa_DynSyn.mod *
GABAb_DynSyn.mod *
Glycine_DynSyn.mod
HH2.mod *
HH2new.mod *
iCaAN.mod *
iCaL.mod
iKCa.mod *
iNaP.mod *
KDR.mod
KDRI.mod
NK1_DynSyn.mod *
NMDA_DynSyn.mod *
SS.mod
vsource.mod *
                            
TITLE Persistent Sodium

COMMENT
12/1/2005 NTC Made compatible with adaptive integration
Unused stuff removed
ENDCOMMENT

: modified by Steven Prescott based on current described below
: Prescott and De Koninck. 2005. J Neurosci 25: 4743-4754
: sodium current active a subthreshold potentials, works synergistically
: with persistent calcium current to prolong subthreshold depolarization
:
: original current described below...
: 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
:
: Modifications by Arthur Houweling for use in MyFirstNEURON

NEURON {
	SUFFIX iNaP
	USEION na READ ena WRITE ina
	RANGE gnabar, vtraub, vsm, vsh, gamma
	RANGE m_inf, h_inf
	RANGE tau_m, tau_h
	RANGE ina 
}


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

PARAMETER {
	gnabar	= .00029 	(mho/cm2)
	ena			(mV)
	celsius			(degC)
	v               	(mV)
	vtraub	= -55		(mV)	: adjusts threshold
	vsm	= -2            (mV)	: collapses activation curve as increasingly -ve
	vsh	= -5            (mV)	: shifts inactivation curve left as increasingly -ve
	gamma	= 0.5		        : collapses inactivation curve when <1
}

STATE {
	m h
}

ASSIGNED {
	ina	(mA/cm2)
	m_inf
	h_inf
	tau_m (ms)
	tau_h (ms)
	tadj
}


BREAKPOINT {
	SOLVE states METHOD cnexp
	ina = gnabar * m*h * (v - ena)
}

DERIVATIVE states {
	evaluate_fct(v)
	m' = (m_inf-m)/tau_m
	h' = (h_inf-h)/tau_h
}

UNITSOFF
INITIAL {
:
:  Q10 was assumed to be 3 for both currents
:
	tadj = 3.0 ^ ((celsius-36)/ 10 )
	evaluate_fct(v)
	m= m_inf
	h= h_inf
}

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

	v2 = v - vtraub : convert to traub convention

	a = 0.32 * (vsm+13-v2) / ( exp((vsm+13-v2)/4) - 1)
	b = 0.28 * (vsm+v2-40) / ( exp((vsm+v2-40)/5) - 1)
	tau_m = 1 / (a + b) / tadj
	m_inf = a / (a + b)

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

UNITSON

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