Geodesic
On the mathematical model of a pacemaker
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2012), pp. 58-64

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The elektrical potential of the Heart is generated in the $P$-cells (pacemakers synchrony) by the sinoatrial node (SA), too by the atrioventricular node (AV), even be able by the Purkinje fibers. The action potential usually is generated by the SA node. The sinoatrial node is a elump of self-osciallatory gells. There cells fire regulary the cardiac conduction system. In this article we show that when an ionic exictable membrane is incorporated into a nonlinear diffusion process and the self-oscillatory mathematical model of the pacemaker on the basis of the nonlinear conductance is constructed.
Keywords: pacemaker, action potential, travelling nerve pulse. 
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     author = {V. S. Novoselov},
     title = {On the mathematical model of a pacemaker},
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     pages = {58--64},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2012_4_a5/}
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V. S. Novoselov. On the mathematical model of a pacemaker. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2012), pp. 58-64. http://geodesic.mathdoc.fr/item/VSPUI_2012_4_a5/