Mathematical Simulation of the Pacemaker Activity of Rabbit Sinoatrial Node Cells Using Similitude Theory

Abstract

A mathematical model that reproduces the functioning of the rabbit sinoatrial node is proposed. A similitude theory is applied to single or multiple sinoatrial node pacemaker cells with the goal of significantly simplifying the description of the studied system. This model provides analytical estimates for the general frequency of pacemaker currents in these pacemaker cells and reveals basic stable elements in the pacemaking mechanism of the sinoatrial node.