Volume 104, Number 3, November 2013
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||04 December 2013|
The Fourier series approach to investigate phase-locking behaviors of the sinoatrial node cell
1 Department of Physics, South China University of Technology - Guangzhou 510640, China
2 Center for Systems Biology, Soochow University - Suzhou 215006, China
3 State Key Laboratory of Cognitive Neuroscience and Learning and IDG/McGovern Institute for Brain Research, Beijing Normal University - Beijing 100875, China
Received: 5 September 2013
Accepted: 4 November 2013
Phase-locking behaviors are closely relevant to arrhythmias. The traditional approach to investigate the subject is the phase resetting map, which interprets phase-locking via the view point of nonlinear mapping dynamics. In the present paper, the Fourier series approach is developed. By decomposing the traces of the transmembrane voltage and total ionic current into Fourier series, the effect of the stimulations on the oscillation period could be revealed analytically. The following well-studied problems are reinvestigated: i) the phase resetting property of the cell; ii) the bifurcations between phase-locking zones; iii) phase-locking behaviors of a pair of coupled cells, which is relevant to behaviors of the sinoatrial node tissue. The work may provide a deeper insight into the subject and a simple method to predict sinoatrial node phase-locking dynamics.
PACS: 87.19.Hh – Cardiac dynamics / 87.10.-e – General theory and mathematical aspects
© EPLA, 2013
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