Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac Cells
We study a simple discrete model with the impact of calcium-channel noise on the beat-to-beat dynamics of cardiac cells. The effects of the noise are assessed by bifurcation analysis and power spectrum analysis, respectively. It is shown that this model can undergo period-doubling bifurcation and Ho...
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/687472 |
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| author | Jiying Ma Dongmei Xiao |
| author_facet | Jiying Ma Dongmei Xiao |
| author_sort | Jiying Ma |
| collection | DOAJ |
| description | We study a simple discrete model with the impact of calcium-channel noise on the beat-to-beat dynamics of cardiac cells. The effects of the noise are assessed by bifurcation analysis and power spectrum analysis, respectively. It is shown that this model can undergo period-doubling bifurcation and Hopf bifurcation if there are not random perturbations. Under random perturbations, the period-doubling bifurcations of the model can be observed, and the invariant curve from Hopf bifurcation is perturbed to an annulus on the plane and then becomes a totally disordered and randomly scattered region. By the power spectrum analysis, we find that the existence of high-frequency peak in the power spectra links to the period-doubling orbits, while the existence of low-frequency peak corresponds to quasiperiodic orbit. |
| format | Article |
| id | doaj-art-4f6d2a0146d44dbb9144f371419b7b76 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4f6d2a0146d44dbb9144f371419b7b762025-08-20T02:05:38ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/687472687472Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac CellsJiying Ma0Dongmei Xiao1Department of Mathematics, MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Mathematics, MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, ChinaWe study a simple discrete model with the impact of calcium-channel noise on the beat-to-beat dynamics of cardiac cells. The effects of the noise are assessed by bifurcation analysis and power spectrum analysis, respectively. It is shown that this model can undergo period-doubling bifurcation and Hopf bifurcation if there are not random perturbations. Under random perturbations, the period-doubling bifurcations of the model can be observed, and the invariant curve from Hopf bifurcation is perturbed to an annulus on the plane and then becomes a totally disordered and randomly scattered region. By the power spectrum analysis, we find that the existence of high-frequency peak in the power spectra links to the period-doubling orbits, while the existence of low-frequency peak corresponds to quasiperiodic orbit.http://dx.doi.org/10.1155/2013/687472 |
| spellingShingle | Jiying Ma Dongmei Xiao Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac Cells Discrete Dynamics in Nature and Society |
| title | Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac Cells |
| title_full | Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac Cells |
| title_fullStr | Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac Cells |
| title_full_unstemmed | Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac Cells |
| title_short | Effects of Calcium-Channel Noise on Dynamics of Excitation-Contraction Coupling in Paced Cardiac Cells |
| title_sort | effects of calcium channel noise on dynamics of excitation contraction coupling in paced cardiac cells |
| url | http://dx.doi.org/10.1155/2013/687472 |
| work_keys_str_mv | AT jiyingma effectsofcalciumchannelnoiseondynamicsofexcitationcontractioncouplinginpacedcardiaccells AT dongmeixiao effectsofcalciumchannelnoiseondynamicsofexcitationcontractioncouplinginpacedcardiaccells |