Mammalian Ventricular Cell (Beeler and Reuter 1977)

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Accession:97863
This classic model of ventricular myocardial fibres was implemented by Francois Gannier. "... Four individual components of ionic current were formulated mathematically in terms of Hodgkin-Huxley type equations. The model incorporates two voltage- and time-dependent inward currents, the excitatory inward sodium current, illa, and a secondary or slow inward current, is, primarily carried by calcium ions. A time-independent outward potassium current, iK1, exhibiting inward-going rectification, and a voltage- and time-dependent outward current, i.1, primarily carried by potassium ions, are further elements of the model...."
Reference:
1 . Beeler GW, Reuter H (1977) Reconstruction of the action potential of ventricular myocardial fibres. J Physiol 268:177-210 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell;
Brain Region(s)/Organism:
Cell Type(s): Cardiac ventricular cell;
Channel(s): I K; I Sodium; I Calcium; I Potassium;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Ion Channel Kinetics; Action Potentials;
Implementer(s): Gannier, Francois [francois.gannier at univ-tours.fr];
Search NeuronDB for information about:  I K; I Sodium; I Calcium; I Potassium;
TITLE Sodium ion accumulation
: Intracellular sodium ion accumulation 

NEURON {
	SUFFIX Na_acc
	USEION na READ ina,nai WRITE nai
	RANGE Vi, Naneutral : electroneutral sodium accumulation
}

UNITS {
	(mV) = (millivolt)
	(um) = (micron)
	(mM) = (milli/liter)
	(mA) = (milliamp)
	F = (faraday) (coulombs)
}

PARAMETER {
	Naneutral   =  3e-5    (mA/cm2)   <0,1e6>
	Vi = 13668e-12 (cm3)
	ina		(mA/cm2)
}

STATE {
	nai START 9.19	(mM)
}

LOCAL ViF
INITIAL {
	VERBATIM
	nai = _ion_nai;
	
	ENDVERBATIM
	ViF = F*Vi*2e4
}

BREAKPOINT {
	SOLVE state METHOD derivimplicit
}

DERIVATIVE state {
	nai' = -(ina-Naneutral)/(ViF) 
}


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