Stabilization of multiarmed spiral waves by circularly polarized electric fields

Deng, Ling-Yun; Zhang, Hong; Li, Youquan

doi:10.1103/physreve.79.036107

Cited by 14 publications

(4 citation statements)

References 41 publications

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“…Multiarmed spiral wave could be developed from a group of broken waves only when the distances among the tips are less than a wave lengthen, and the these spiral segments rotate in the same direction [13]. Multiarmed spiral waves are unstable in the media with high excitability but these waves could be stabilized by imposing external field on the media [63].…”

Section: Introductionmentioning

confidence: 99%

Selection of Multiarmed Spiral Waves in a Regular Network of Neurons

Tang

2013

PLoS ONE

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Formation and selection of multiarmed spiral wave due to spontaneous symmetry breaking are investigated in a regular network of Hodgkin-Huxley neuron by changing the excitability and imposing spatial forcing currents on the neurons in the network. The arm number of the multiarmed spiral wave is dependent on the distribution of spatial forcing currents and excitability diversity in the network, and the selection criterion for supporting multiarmed spiral waves is discussed. A broken spiral segment is measured by a short polygonal line connected by three adjacent points (controlled nodes), and a double-spiral wave can be developed from the spiral segment. Multiarmed spiral wave is formed when a group of double-spiral waves rotate in the same direction in the network. In the numerical studies, a group of controlled nodes are selected and spatial forcing currents are imposed on these nodes, and our results show that l-arm stable spiral wave (l = 2, 3, 4,...8) can be induced to occupy the network completely. It is also confirmed that low excitability is critical to induce multiarmed spiral waves while high excitability is important to propagate the multiarmed spiral wave outside so that distinct multiarmed spiral wave can occupy the network completely. Our results confirm that symmetry breaking of target wave in the media accounts for emergence of multiarmed spiral wave, which can be developed from a group of spiral waves with single arm under appropriate condition, thus the potential formation mechanism of multiarmed spiral wave in the media is explained.

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Section: Introductionmentioning

confidence: 99%

Selection of Multiarmed Spiral Waves in a Regular Network of Neurons

Tang

2013

PLoS ONE

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“…[9][10][11][12][13][14][15][16] The emergence of spiral wave in cardiac tissue is regarded as harmful, thus many schemes have been proposed to suppress the spiral wave and turbulence, and the dynamical mechanism of control scheme becomes important. Particularly, it has been confirmed that circularly polarized electric fields 17,18 can be very effective to suppress spiral wave, or stabilize the multi-armed spiral waves in reaction-diffusion systems. Furthermore, it is much attractive to explore the potential mechanism of unpinning spiral wave 19 driven by series of stimuli in reaction-diffusion systems.…”

Section: Introductionmentioning

confidence: 98%

Formation of multi-armed spiral waves in neuronal network induced by adjusting ion channel conductance

Jin

2015

Int. J. Mod. Phys. B

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The Hodgkin-Huxley neuron model is used to describe the local dynamics of nodes in a two-dimensional regular network with nearest-neighbor connections. Multi-armed spiral waves emerge when a group of spiral waves rotate the same core synchronously. Here we have numerically investigated how multi-armed spiral waves are formed in such a system. Under the appropriate conditions, multi-armed spiral waves were able to develop as a result of adjusting the conductance of ion channels of particular neurons in the network. In a realistic neuron model, it can be practiced by blocking potassium of ion channels embedded in the membrane of neurons. For example, decreasing the potassium channel conductance in some neurons with a certain transient period can lead to the development of a group of double spirals in a localized area of the network. Furthermore, decreasing the excitability and the external forcing current to zero led to the growth of these double spirals and the formation of a stable multi-armed spiral wave that occupied the network under inhomogeneity.

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“…Both dc and ac electric fields can induce the drift of spirals [24][25][26][27]. Recently, a circularly polarized electric field (CPEF) has been proposed theoretically [28,29], and the drift of spiral waves under the influence of such an electric field is studied numerically. By applying two ac electric fields perpendicular to each other with four electrodes (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Electric-field-sustained spiral waves in subexcitable media

2012

Self Cite

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We present numerical evidence that, in the presence of a suitable electric field, an isolated broken plane wave retracting originally in subexcitable media can propagate continuously and eventually evolve into a rotating spiral. Simulations for the FitzHugh-Nagumo, the Barkley, and the Oregonator models are carried out and the same electric-field-sustained spiral phenomena are observed. Semianalytical results in the framework of a kinematic theory are quantitatively consistent with the numerical results.

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Stabilization of multiarmed spiral waves by circularly polarized electric fields

Cited by 14 publications

References 41 publications

Selection of Multiarmed Spiral Waves in a Regular Network of Neurons

Selection of Multiarmed Spiral Waves in a Regular Network of Neurons

Formation of multi-armed spiral waves in neuronal network induced by adjusting ion channel conductance

Electric-field-sustained spiral waves in subexcitable media

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