Dynamics of spiral waves in excitable media subjected to external periodic forcing

1995 ◽  
Vol 52 (1) ◽  
pp. 98-108 ◽  
Author(s):  
A. Schrader ◽  
M. Braune ◽  
H. Engel
Keyword(s):  
Spiral Waves ◽  
Excitable Media ◽  
Periodic Forcing

Spiral waves in excitable media due to noise and periodic forcing

2011 ◽  
Vol 44 (9) ◽  
pp. 728-738 ◽  
Author(s):  
Guoyong Yuan ◽  
Lin Xu ◽  
Aiguo Xu ◽  
Guangrui Wang ◽  
Shiping Yang
Keyword(s):  
Spiral Waves ◽  
Excitable Media ◽  
Periodic Forcing

Suppression of Spiral Breakup in Excitable Media by Local Periodic Forcing

2016 ◽  
Vol 26 (14) ◽  
pp. 1650236
Author(s):  
Guiquan Liu ◽  
Heping Ying ◽  
Honglei Luo ◽  
Xiaoxia Liu ◽  
Jinghua Yang
Keyword(s):  
Ventricular Fibrillation ◽  
Numerical Simulations ◽  
Phase Diagrams ◽  
Cardiac Arrhythmia ◽  
Underlying Mechanism ◽  
Spiral Waves ◽  
Low Energy ◽  
Excitable Media ◽  
Periodic Forcing ◽  
Cardiac Tissues

Lowered excitability leads to unstable meandering of spiral tip, which result in breakup of spiral waves into chaotic states induced by Doppler effects. This phenomenon is responsible for the transition from tachycardia to ventricular fibrillation in cardiac tissues. Numerical simulations show that low-energy local periodic forcing (LPF) applied around spiral tip can efficiently suppress the meandering behavior and consequently prevent spiral breakup. The controllable phase diagrams that describe the amplitude and period of LPF against excitability parameter are presented to illustrate the control region. The underlying mechanism of suppressing spiral meandering behavior is explored by greatly decreasing the radius of the meandering tip. The proposed scheme can potentially contribute to controlling cardiac arrhythmia.

Periodic forcing of spiral waves in excitable media

1996 ◽  
Vol 54 (5) ◽  
pp. 4791-4802 ◽  
Author(s):  
Rolf-Martin Mantel ◽  
Dwight Barkley
Keyword(s):  
Spiral Waves ◽  
Excitable Media ◽  
Periodic Forcing

SUPPRESSING SPIRAL WAVES IN EXCITABLE MEDIA VIA UNIDIRECTIONAL COUPLING

2008 ◽  
Vol 22 (24) ◽  
pp. 4153-4161 ◽  
Author(s):  
YU QIAN ◽  
YU XUE ◽  
GUANG-ZHI CHEN
Keyword(s):  
Co Oxidation ◽  
Power Law ◽  
Coupling Strength ◽  
Control Method ◽  
Spiral Waves ◽  
Coupling Method ◽  
Excitable Media ◽  
Catalytic Co Oxidation ◽  
Unidirectional Coupling ◽  
High Control

A unidirectional coupling method to successfully suppress spiral waves in excitable media is proposed. It is shown that this control method has high control efficiency and is robust. It adapts to control of spiral waves for catalytic CO oxidation on platinum as well as for the FHN model. The power law n ~ c-k of control time steps n versus the coupling strength c for different models has been obtained.

scholarly journals Orbital Motion of Spiral Waves in Excitable Media

2010 ◽  
Vol 104 (5) ◽  
Author(s):  
V. N. Biktashev ◽  
D. Barkley ◽  
I. V. Biktasheva
Keyword(s):  
Orbital Motion ◽  
Spiral Waves ◽  
Excitable Media

Modified Morris-Lecar neuron model: Effects of very low frequency electric fields and of magnetic fields on the local and network dynamics of an excitable media

2021 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Irene Moroz ◽  
Balamurali Ramakrishnan ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Electric Field ◽  
Neuron Model ◽  
Low Noise ◽  
Spiral Waves ◽  
Excitable Media ◽  
Field Frequency ◽  
Electric And Magnetic Fields ◽  
Electric Field Frequency

Abstract A Morris-Lecar neuron model is considered with Electric and Magnetic field effects where the electric field is a time varying sinusoid and magnetic field is simulated using an exponential flux memristor. We have shown that the exposure to electric and magnetic fields have significant effects on the neurons and have exhibited complex oscillations. The neurons exhibit a frequency-locked state for the periodic electric field and different ratios of frequency locked states with respect to the electric field frequency is also presented. To show the impact of the electric and magnetic fields on network of neurons, we have constructed different types of network and have shown the network wave propagation phenomenon. Interestingly the nodes exposed to both electric and magnetic fields exhibit more stable spiral waves compared to the nodes exhibited only to the magnetic fields. Also, when the number of layers are increased the range of electric field frequency for which the layers exhibit spiral waves also increase. Finally the noise effects on the field affected neuron network are discussed and multilayer networks supress spiral waves for a very low noise variance compared against the single layer network.

Resonant drift of synchronized spiral waves in excitable media

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Jinming Luo ◽  
Teng-Chao Li ◽  
Hong Zhang
Keyword(s):  
Spiral Waves ◽  
Excitable Media
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