Design and Control of Wave Propagation Patterns in Excitable Media

Science ◽  
2002 ◽  
Vol 296 (5575) ◽  
pp. 2009-2012 ◽  
Author(s):  
T. Sakurai
Keyword(s):  
Wave Propagation ◽  
Excitable Media ◽  
And Control

Asymptotic wave propagation in excitable media

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Olivier Bernus ◽  
Edward Vigmond
Keyword(s):  
Wave Propagation ◽  
Excitable Media

A Simple Three-States Cellular Automaton for Modelling Excitable Media

1998 ◽  
Vol 12 (05) ◽  
pp. 601-607 ◽  
Author(s):  
M. Andrecut
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Cellular Automata ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Self Organization ◽  
Partial Differential ◽  
Bz Reaction

Wave propagation in excitable media provides an important example of spatiotemporal self-organization. The Belousov–Zhabotinsky (BZ) reaction and the impulse propagation along nerve axons are two well-known examples of this phenomenon. Excitable media have been modelled by continuous partial differential equations and by discrete cellular automata. Here we describe a simple three-states cellular automaton model based on the properties of excitation and recovery that are essential to excitable media. Our model is able to reproduce the dynamics of patterns observed in excitable media.

Wave Propagation in Spatially Distributed Excitable Media

2003 ◽  
Vol 63 (2) ◽  
pp. 485-509 ◽  
Author(s):  
Jianbo Yang ◽  
John H. Merkin ◽  
Serafim Kalliadasis ◽  
Stephen K. Scott
Keyword(s):  
Wave Propagation ◽  
Excitable Media ◽  
Spatially Distributed

scholarly journals Diffusion and wave propagation in cellular automaton models of excitable media

1992 ◽  
Vol 55 (3-4) ◽  
pp. 309-327 ◽  
Author(s):  
Jörg R. Weimar ◽  
John J. Tyson ◽  
Layne T. Watson
Keyword(s):  
Wave Propagation ◽  
Cellular Automaton ◽  
Excitable Media

scholarly journals From Neurons to Brain: Adaptive Self-Wiring of Neurons

1998 ◽  
Vol 01 (01) ◽  
pp. 67-78 ◽  
Author(s):  
Ronen Segev ◽  
Eshel Ben-Jacob
Keyword(s):  
Growth Cones ◽  
Natural World ◽  
Excitable Media ◽  
Chemical Signaling ◽  
Glia Cells ◽  
Navigation Strategy ◽  
Chemical Waves ◽  
Embryonic Morphogenesis ◽  
And Control

During embryonic morphogenesis, a collection of individual neurons turns into a functioning network with unique capabilities. Only recently has this most staggering example of emergent process in the natural world, began to be studied. Here we propose a navigational strategy for neurites growth cones, based on sophisticated chemical signaling. We further propose that the embryonic environment (the neurons and the glia cells) acts as an excitable media in which concentric and spherical chemical waves are formed. Together with the navigation strategy, the chemical waves provide a mechanism for communication, regulation, and control required for the adaptive self-wiring of neurons.

Hydrodynamic Analysis of Waveforms Induced by Vibrational Stimuli at Meridian and Non-meridian Points

2004 ◽  
Vol 32 (06) ◽  
pp. 977-984 ◽  
Author(s):  
Myeong Soo Lee ◽  
Yong-Chin Kim ◽  
Sun-Rock Moon ◽  
Byung-Chul Shin ◽  
Dong-Myong Jeong
Keyword(s):  
Wave Propagation ◽  
Chinese Medicine ◽  
Control Points ◽  
Mechanical Vibrations ◽  
Hydrodynamic Analysis ◽  
Pericardium Meridian ◽  
Attenuation Rate ◽  
The Mean ◽  
And Control ◽  
Control Regions

Meridian theory is an important part of traditional Chinese medicine (TCM). Although acupuncture has been accepted in many countries, the nature of the meridian theory and the principles of acupuncture are still unclear in the modern scientific view. The purpose of this study was to determine the differences in wave propagation of mechanical vibrations (optimal stimulator frequency of 40 Hz) through the pericardium meridian [EH-4 (Chieh-Men) and EH-5 (Chien-Shih)] and adjacent control regions in 20 subjects using hydrodynamic analysis. The mean transfer speed was significantly lower in the meridian (4 m/s) than in the adjacent control region (8.5 m/s, P<0.001). There were also significant differences between the meridian and control points in the attenuation rate (P<0.001) and peak amplitude (P<0.001). In conclusion, these results imply that the substance of the meridian differs from that of the adjacent control regions.

DEFECT-INDUCED PROPAGATION IN EXCITABLE MEDIA

2003 ◽  
Vol 13 (10) ◽  
pp. 3125-3133 ◽  
Author(s):  
ZHIGANG ZHENG ◽  
MICHAEL C. CROSS
Keyword(s):  
Wave Propagation ◽  
Coupling Strength ◽  
Excitable Media ◽  
Dynamical Transition ◽  
Wave Dynamics ◽  
Propagation Failure ◽  
Local Wave

Wave dynamics in the coupled FitzHugh–Nagumo oscillators with pacemaker defects is studied. It is found that with increasing the coupling strength, the lattice experiences a dynamical transition from a local wave to the global propagation. For large enough coupling, a transition from global wave propagation to the propagation failure can be observed. Noise-enhanced wave propagation in the propagation-failure regime is revealed.

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