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CA1 pyramidal cell: reconstructed axonal arbor and failures at weak gap junctions (Vladimirov 2011)

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Accession:144401
Model of pyramidal CA1 cells connected by gap junctions in their axons. Cell geometry is based on anatomical reconstruction of rat CA1 cell (NeuroMorpho.Org ID: NMO_00927) with long axonal arbor. Model init_2cells.hoc shows failures of second spike propagation in a spike doublet, depending on conductance of an axonal gap junction. Model init_ring.hoc shows that spike failure result in reentrant oscillations of a spike in a loop of axons connected by gap junctions, where one gap junction is weak. The paper shows that in random networks of axons connected by gap junctions, oscillations are driven by single pacemaker loop of axons. The shortest loop, around which a spike can travel, is the most likely pacemaker. This principle allows us to predict the frequency of oscillations from network connectivity and visa versa. We propose that this type of oscillations corresponds to so-called fast ripples in epileptic hippocampus.
Reference:
1 . Vladimirov N, Tu Y, Traub RD (2012) Shortest Loops are Pacemakers in Random Networks of Electrically Coupled Axons. Front Comput Neurosci 6:17 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network; Axon;
Brain Region(s)/Organism: Hippocampus;
Cell Type(s): Hippocampus CA1 pyramidal GLU cell;
Channel(s): I Na,t; I A; I K; I M; I K,Ca; I Calcium; I Potassium;
Gap Junctions: Gap junctions;
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Oscillations; Axonal Action Potentials; Epilepsy; Conduction failure;
Implementer(s): Vladimirov, Nikita ;
Search NeuronDB for information about:  Hippocampus CA1 pyramidal GLU cell; I Na,t; I A; I K; I M; I K,Ca; I Calcium; I Potassium;
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VladimirovTuTraub2012
readme.html
bias.mod *
cad.mod *
cal.mod *
gap.mod *
ipulse1.mod *
ka.mod *
kahp.mod *
kc.mod *
kdr.mod *
km.mod *
naf.mod *
2cellsGUI.ses
cellTemplate.hoc
gapjunction.hoc
init_2cells.hoc
init_ring.hoc
mosinit.hoc
ringGUI.ses
screenshot1.jpg
screenshot2.jpg
screenshot3.jpg
                            
TITLE Potasium M type current for RD Traub, J Neurophysiol 89:909-921, 2003

COMMENT

	Implemented by Maciej Lazarewicz 2003 (mlazarew@seas.upenn.edu)

ENDCOMMENT

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

UNITS { 
	(mV) = (millivolt) 
	(mA) = (milliamp) 
}
 
NEURON { 
	SUFFIX km
	USEION k READ ek WRITE ik
	RANGE gbar, ik
}

PARAMETER { 
	gbar = 0.0 	(mho/cm2)
	v (mV) ek 		(mV)  
}
 
ASSIGNED { 
	ik 		(mA/cm2) 
	alpha (/ms) beta	(/ms)
}
 
STATE {
	m
}

BREAKPOINT { 
	SOLVE states METHOD cnexp
	ik = gbar * m * ( v - ek ) 
}
 
INITIAL { 
	settables(v) 
	m = alpha / ( alpha + beta )
	m = 0
}
 
DERIVATIVE states { 
	settables(v) 
	m' = alpha * ( 1 - m ) - beta * m 
}

UNITSOFF 

PROCEDURE settables(v (mV)) { 
	TABLE alpha, beta FROM -120 TO 40 WITH 641
	alpha = 0.02 / ( 1 + exp( ( -v - 20 ) / 5 ) )
	beta  = 0.01 * exp( ( -v - 43 ) / 18 )
}


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