Cortical pyramidal neuron, phase response curve (Stiefel et al 2009)

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Accession:144372
Three models of increasing complexity all showing a switch from type II (biphasic) to type I (monophasic) phase response curves with a cholinergic down-modulation of K+ conductances.
Reference:
1 . Stiefel KM, Gutkin BS, Sejnowski TJ (2009) The effects of cholinergic neuromodulation on neuronal phase-response curves of modeled cortical neurons. J Comput Neurosci 26:289-301 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type:
Brain Region(s)/Organism:
Cell Type(s): Neocortex L2/3 pyramidal GLU cell;
Channel(s): I Na,p; I Na,t; I M;
Gap Junctions:
Receptor(s): Muscarinic;
Gene(s):
Transmitter(s): Acetylcholine;
Simulation Environment: NEURON;
Model Concept(s): Action Potentials;
Implementer(s): Stiefel, Klaus [stiefel at salk.edu];
Search NeuronDB for information about:  Neocortex L2/3 pyramidal GLU cell; Muscarinic; I Na,p; I Na,t; I M; Acetylcholine;
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StiefelEtAl2009
README.txt
ca.mod *
cacum.mod
cad.mod *
H.mod
iahp2.mod *
il.mod *
im.mod *
KA.mod
kca.mod *
Kdr.mod
km.mod *
Ks.mod
kv.mod *
Na.mod *
NaP.mod
cell.ses
displayshape.hoc
fig4A.hoc
fig4A_new.hoc
fig5A.hoc
fig5B.hoc
fig5C.hoc
gui.hoc
j8.hoc *
ksprc.ses
makeIF.hoc
multi.hoc
PRC.hoc
PRCsweep.hoc
PY-golomb_original.hoc
PY-golomb_plus.hoc
PY-golomb_simple.hoc
PyMainen.hoc
single.hoc
single_plus.hoc
single1.ses
surface.hoc
synproxy_cch.hoc
synproxy_sweeps.hoc
                            
COMMENT
26 Ago 2002 Modification of original channel to allow variable time step and to correct an initialization error.
    Done by Michael Hines(michael.hines@yale.e) and Ruggero Scorcioni(rscorcio@gmu.edu) at EU Advance Course in Computational Neuroscience. Obidos, Portugal

ca.mod
Uses fixed eca instead of GHK eqn

HVA Ca current
Based on Reuveni, Friedman, Amitai and Gutnick (1993) J. Neurosci. 13:
4609-4621.

Author: Zach Mainen, Salk Institute, 1994, zach@salk.edu

ENDCOMMENT

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

NEURON {
	SUFFIX ca
	USEION ca READ eca WRITE ica
	RANGE m, h, gca, gbar
	RANGE minf, hinf, mtau, htau
	GLOBAL q10, temp, tadj, vmin, vmax, vshift
}

PARAMETER {
	gbar = 0.1   	(pS/um2)	: 0.12 mho/cm2
	vshift = 0	(mV)		: voltage shift (affects all)

	cao  = 2.5	(mM)	        : external ca concentration
	cai		(mM)
						
	temp = 23	(degC)		: original temp 
	q10  = 2.3			: temperature sensitivity

	v 		(mV)
	dt		(ms)
	celsius		(degC)
	vmin = -120	(mV)
	vmax = 100	(mV)
}


UNITS {
	(mA) = (milliamp)
	(mV) = (millivolt)
	(pS) = (picosiemens)
	(um) = (micron)
	FARADAY = (faraday) (coulomb)
	R = (k-mole) (joule/degC)
	PI	= (pi) (1)
} 

ASSIGNED {
	ica 		(mA/cm2)
	gca		(pS/um2)
	eca		(mV)
	minf 		hinf
	mtau (ms)	htau (ms)
	tadj
}
 

STATE { m h }

INITIAL { 
	trates(v+vshift)
	m = minf
	h = hinf
}

BREAKPOINT {
        SOLVE states METHOD cnexp
        gca = tadj*gbar*m*m*h
	ica = (1e-4) * gca * (v - eca)
} 

LOCAL mexp, hexp

:PROCEDURE states() {
:        trates(v+vshift)      
:        m = m + mexp*(minf-m)
:        h = h + hexp*(hinf-h)
:	VERBATIM
:	return 0;
:	ENDVERBATIM
:}

DERIVATIVE states {
        trates(v+vshift)      
        m' =  (minf-m)/mtau
        h' =  (hinf-h)/htau
}

PROCEDURE trates(v) {  
                      
        
        TABLE minf, hinf, mtau, htau 
	DEPEND  celsius, temp
	
	FROM vmin TO vmax WITH 199

	rates(v): not consistently executed from here if usetable == 1

:        tinc = -dt * tadj

:        mexp = 1 - exp(tinc/mtau)
:        hexp = 1 - exp(tinc/htau)
}


PROCEDURE rates(vm) {  
        LOCAL  a, b

        tadj = q10^((celsius - temp)/10)

	a = 0.055*(-27 - vm)/(exp((-27-vm)/3.8) - 1)
	b = 0.94*exp((-75-vm)/17)
	
	mtau = 1/tadj/(a+b)
	minf = a/(a+b)

		:"h" inactivation 

	a = 0.000457*exp((-13-vm)/50)
	b = 0.0065/(exp((-vm-15)/28) + 1)

	htau = 1/tadj/(a+b)
	hinf = a/(a+b)
}

FUNCTION efun(z) {
	if (fabs(z) < 1e-4) {
		efun = 1 - z/2
	}else{
		efun = z/(exp(z) - 1)
	}
}

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