Abstract
A new modified Fitzhugh–Nagumo model is proposed to study the dynamic behaviors of spiral waves in cardiac tissue under fixed or periodic electromagnetic radiation. The effects of fixed electromagnetic radiation and the amplitude and frequency of periodic electromagnetic radiation on the pattern transitions of the spiral waves are investigated, respectively. Our numerical results show that although spiral waves can normally propagate with slight deformation under weaker fixed or periodic electromagnetic radiation, stronger fixed or periodic electromagnetic radiation can terminate the spiral waves, cause the drift of the spirals and turbulence, and magnetize the spiral waves to the homogeneous state. Extensive comparative analysis results confirm that fixed electromagnetic radiation is more helpful to modify and magnetize the spiral waves to the homogeneous state, but the spiral waves more easily change to the chaotic state under periodic electromagnetic radiation. The simulation results also show that both increasing the amplitude and decreasing the frequency can block the rotating spiral waves and cause turbulence, but our considerable numerical results find that lower frequency more easily develops spatiotemporal chaos from the media.
Highlights
Spatial waves are usually observed in different areas of mammalian cardiac tissue.1–3 Recent studies on the heart show clear evidence that transition from spiral waves to turbulence is responsible for some heart diseases
Our further numerical studies find that when φext is about 2.2, the stable spiral waves can be broken by the electromagnetic radiation, and that these broken spiral waves step into spatiotemporal chaos [Figs. 2(g)– 2(i)], which corresponds to the ventricular fibrillation of heart and is harmful to our health of heart
We developed a new modified Fitzhugh–Nagumo model to investigate the pattern transitions of spiral waves in cardiac tissue exposed to fixed or periodic electromagnetic radiation
Summary
Spatial waves are usually observed in different areas of mammalian cardiac tissue.1–3 Recent studies on the heart show clear evidence that transition from spiral waves to turbulence is responsible for some heart diseases. Investigated the effects of periodic plane wave on the dynamics of spiral waves and turbulence in two-layer excitable media with the three-variable Fitzhugh–Nagumo model developed by Wu et al.22
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