SPIRAL DYNAMICS IN EXCITABLE MEDIUM INDUCED BY EXTERNAL PERIODIC MODULATION

2013 ◽  
Vol 23 (05) ◽  
pp. 1350082
Author(s):  
YU QIAN ◽  
WEI LI ◽  
XIAODONG HUANG ◽  
ZHAOYANG ZHANG ◽  
YUANYUAN MI
Keyword(s):  
Spiral Wave ◽  
Spatiotemporal Dynamics ◽  
Excitable Medium ◽  
Periodic Modulation ◽  
Spiral Dynamics ◽  
External Modulation ◽  
Wave Induced ◽  
Size Variable

Spatiotemporal dynamics of spiral tip and the evolution of spiral wave induced by external periodic modulation has been investigated in a generic excitable model. Tip dynamics of spiral wave depending on the frequency and strength of the external modulation is revealed by the meandering size variable Rx of the tip trajectory. Different effects of frequency and strength on spiral dynamics are observed and the corresponding mechanisms are explained. Finally, we can eliminate spiral wave out of the boundary successfully by suitably choosing the frequency and the strength of the external periodic modulation.

scholarly journals Spiral wave in an inhomogeneous excitable medium

2008 ◽  
Vol 57 (11) ◽  
pp. 6815
Author(s):  
Zhang Guo-Yong ◽  
Ma Jun ◽  
Gan Zheng-Ning ◽  
Chen Yong
Keyword(s):  
Spiral Wave ◽  
Excitable Medium

Control of spiral-wave dynamics in active media by periodic modulation of excitability

Nature ◽  
1993 ◽  
Vol 366 (6453) ◽  
pp. 322-324 ◽  
Author(s):  
Oliver Steinbock ◽  
Vladimir Zykov ◽  
Stefan C. Müller
Keyword(s):  
Spiral Wave ◽  
Periodic Modulation ◽  
Wave Dynamics ◽  
Active Media

scholarly journals Spiral waves within a bistability parameter region of an excitable medium

2022 ◽  
Author(s):  
Vladimir Zykov ◽  
Eberhard Bodenschatz
Keyword(s):  
Initial Conditions ◽  
Three Dimensional ◽  
Spiral Wave ◽  
Gradient Flow ◽  
Spiral Waves ◽  
Excitable Medium ◽  
Excitable Media ◽  
Circular Trajectory ◽  
Parameter Region ◽  
Scroll Wave

Abstract Spiral waves are a well-known and intensively studied dynamic phenomenon in excitable media of various types. Most studies have considered an excitable medium with a single stable resting state. However, spiral waves can be maintained in an excitable medium with bistability. Our calculations, performed using the widely used Barkley model, clearly show that spiral waves in the bistability region exhibit unique properties. For example, a spiral wave can either rotate around a core that is in an unexcited state, or the tip of the spiral wave describes a circular trajectory located inside an excited region. The boundaries of the parameter regions with positive and "negative" cores have been defined numerically and analytically evaluated. It is also shown that the creation of a positive or "negative" core may depend on the initial conditions, which leads to hysteresis of spiral waves. In addition, the influence of gradient flow on the dynamics of the spiral wave, which is related to the tension of the scroll wave filaments in a three-dimensional medium, is studied.

Emergence of spiral wave induced by defects block

2013 ◽  
Vol 18 (7) ◽  
pp. 1665-1675 ◽  
Author(s):  
Jun Ma ◽  
Qirui Liu ◽  
Heping Ying ◽  
Ying Wu
Keyword(s):  
Spiral Wave ◽  
Wave Induced

TRANSITION OF ORDERED WAVES IN NEURONAL NETWORK INDUCED BY DIFFUSIVE POISONING OF ION CHANNELS

2013 ◽  
Vol 21 (01) ◽  
pp. 1350002 ◽  
Author(s):  
LONG HUANG ◽  
JUN MA ◽  
JUN TANG ◽  
FAN LI
Keyword(s):  
Ion Channels ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Channel Noise ◽  
Channel Blocking ◽  
Adjacent Site ◽  
Line Defects ◽  
Ion Channel Blocking ◽  
Wave Induced ◽  
Target Wave

Normal physiological activities are often affected by some drugs, and some ion channels are blocked due to the katogene of drugs. This paper investigates the propagation of ordered waves in neuronal networks induced by diffusive poisoning, where the process is measured by increasing the number of neurons in the poisoned area of the networks. A coefficient of poisoning K is defined to measure the time units from one poisoned site to the adjacent site, a smaller K means that more neurons are poisoned in a certain period (a higher poisoning speed). A statistical factor of synchronization R in the two-dimensional array is defined to detect the transition of spiral waves induced by ion channel blocking. It is confirmed that the evolution of the spiral waves depends on the coefficient of poisoning K and number of poisoned neurons. Furthermore, breakup of the spirals is observed when weak channel noise is considered. Finally, the formation of the spiral wave induced by blocking the target wave with line defects is briefly discussed.

Spiral wave of a two-layer coupling neuronal network with multi-area channels

2019 ◽  
Vol 33 (29) ◽  
pp. 1950354
Author(s):  
Yong Wu ◽  
Bing Wang ◽  
Xiaoxiao Zhang ◽  
Hao Chen
Keyword(s):  
External Force ◽  
Neuronal Network ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Spatiotemporal Pattern ◽  
Wave Dynamics ◽  
Hr Model ◽  
Local Coupling ◽  
Wave Induced

Using the Hindmarsh–Rose (HR) model, a two-layer neuronal network is constructed to study the spiral wave dynamics. The first layer generates spiral wave induced by random values of boundary under appropriate coupling intensity and external force, and the second layer is in the different states. Coupling channels between the two layers are set in multiple areas and spiral wave of first layer affect second layer via the coupling channels. The spatiotemporal pattern of neuronal network is investigated in the second layer. It is shown that spiral wave can be found under appropriate conditions, multi-area channels are more likely to generate spiral waves and target waves than only one local coupling area. A statistical variable on the second layer is calculated by increasing intensity of channels between layers. The larger the coupling areas between layers, the more obvious the synchronism phenomenon is.

EXCITABLE SPIRAL WAVES IN NEMATIC LIQUID CRYSTALS

1994 ◽  
Vol 04 (05) ◽  
pp. 1173-1182 ◽  
Author(s):  
P. COULLET ◽  
F. PLAZA
Keyword(s):  
Liquid Crystals ◽  
Electric Field ◽  
Nematic Liquid Crystals ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Excitable Medium ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Excitable System ◽  
Mechanical Analog

A mechanical analog of the chemical and biological excitable medium is proposed. In nematic liquid crystals, the Freedericksz transition induced by a rotating tilted electric field provides a simple example of such a mechanical excitable system. We study this transition, derive a Ginzburg-Landau model for it, and show that the excitable spiral wave can be produced from a retractable finger-like soliton in this context.

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