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 Cardiac time independent inward rectifier IK1 current
: from BEELER & REUTER, J.Physiol, 1977

NEURON {
	SUFFIX IK1
	USEION k WRITE ik
	RANGE gK1, ik
	GLOBAL dummy : prevent vectorization for use with CVODE
}

UNITS {
	(mA) = (milliamp)
	(mV) = (millivolt)
	(mM) = (milli/liter)
	(S) = (siemens)
}

PARAMETER { 
	gK1=0.00035 (S/cm2) <0,1e9>
}

ASSIGNED {
	v (mV)
	ik (mA/cm2)
	dummy
}

BREAKPOINT {
LOCAL d, n, r
	d = 4 * (exp(0.04*(v + 85))-1)
	n = (exp(0.08*(v + 53)) + exp(0.04*(v + 53)))
	r = 0.2*(v + 23)/(1-exp(-0.04*(v + 23)))
	ik = gK1*(d/n + r)
}

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