Suppressions of spiral waves and spatiotemporal chaos in cardiac tissue

In this paper, we propose the stochastic and unidirectional cross-coupled control method between two-layer excitable media to suppress the spiral waves and spatiotemporal chaos. Four types of the drive-response system in such two-layer excitable media are studied. By performing many simulations, results illustrate the spiral waves and spatiotemporal chaos can be controlled to the desired target states like the target waves and traveling waves. Patterns obtained are obviously different from those of the one-to-one coupling model. Based on the method proposed by Henry, we have carefully studied the generalized synchronization between the drive and response system with the stochastic and cross-connecting points via amplitude analysis and computing Poisson coefficient. Moreover, there also exists the frequency locking phenomenon.

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VULNERABILITY TO REENTRY, AND DRIFT, STABILITY AND BREAKDOWN OF SPIRAL WAVES IN A LINEAR GRADIENT OF GK IN A LUO–RUDY 1 VIRTUAL VENTRICULAR TISSUE

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127403009010 ◽

2003 ◽

Vol 13 (12) ◽

pp. 3865-3871 ◽

Cited By ~ 2

Author(s):

O. V. ASLANIDI ◽

R. H. CLAYTON ◽

A. V. HOLDEN ◽

H. K. PHILLIPS ◽

R. J. WARD

Keyword(s):

Action Potential ◽

Velocity Component ◽

Action Potential Duration ◽

Cardiac Tissue ◽

Spiral Wave ◽

Spiral Waves ◽

Linear Gradient ◽

Wave Solutions ◽

Ventricular Tissue ◽

Vulnerable Window

The vulnerable window in a heterogeneous virtual LRl cardiac tissue, with a linear gradient in GK, is wider when following propagation down the gradient, towards tissue with longer action potential duration, than when following propagation up the gradient. Spiral wave solutions in a uniform linear gradient in GK drift, with a velocity component along the gradient of the order of mm/s, towards tissue with a longer APD.

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A hybrid stimulation strategy for suppression of spiral waves in cardiac tissue

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2011.05.014 ◽

2011 ◽

Vol 44 (8) ◽

pp. 633-639 ◽

Cited By ~ 6

Author(s):

Binbin Xu ◽

Sabir Jacquir ◽

Gabriel Laurent ◽

Jean-Marie Bilbault ◽

Stéphane Binczak

Keyword(s):

Cardiac Tissue ◽

Spiral Waves

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Development and transition of target waves in the network of Hindmarsh–Rose neurons under electromagnetic radiation

International Journal of Modern Physics B ◽

10.1142/s0217979220501374 ◽

2020 ◽

Vol 34 (13) ◽

pp. 2050137

Author(s):

Haibo Luo ◽

Jile Ma

Keyword(s):

Electromagnetic Radiation ◽

Numerical Simulations ◽

Spatiotemporal Chaos ◽

Spiral Waves ◽

Numerical Results ◽

Neuron Network

The pattern transition of target waves in Hindmarsh–Rose neuron network exposed to fixed and periodic electromagnetic radiation is reported in this paper. Our numerical results confirm that local periodical excitation can induce stable propagating target waves from the network. It is found that fixed electromagnetic radiation has great effect on the propagating target waves, and that these target waves can be obviously blocked by increasing the intensity of fixed electromagnetic radiation. We find that the periodic electromagnetic radiation with appropriate amplitude and frequency can break the target waves and induce spatiotemporal turbulence and spiral waves from the broken target waves. Our numerical simulations show that the influence of periodic electromagnetic radiation on the dynamics of target waves is complex, and that although both increasing the amplitude and decreasing the frequency can break the target waves and induce spiral waves and chaos from the network, extensive numerical results find that lower frequency is more easy to terminate the target waves and generate spiral waves and spatiotemporal chaos. The numerical simulations also show that fixed and periodic electromagnetic radiation have influence on the pattern transition of the target waves in the network, but periodic electromagnetic radiation is more helpful to develop spiral waves and turbulence from the network.

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