A study on the excitable dynamics and parameter sensitivities of heart muscle cells based on the bifurcation theory in singularly perturbed systems

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Using the Hodgkin-Huxley-type models of pacemaker cells in the sinoatrial node of the heart, the sensitivities of pacemaker rhythm on various parameters have been analyzed in detail. As a result, the effects of ion channel currents on the pacemaker rhythm, such as the difference between ion channels with respect to their strength of influence on pacemaker rhythm, have been clarified. Based on these results, various useful knowledge on the mechanism that the abnormalities of ion channels which are induced by genetic and/or environmental reasons, lead sinus arrhythmia is obtained.