Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold
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منابع مشابه
Title Dispersion relation in oscillatory reaction - diffusion systems with self - consistent flow in true slime mold
In the large amoeboid organism Physarum, biochemical oscillators are spatially distributed throughout the organism and their collective motion exhibits phase waves, which carry physiological signals. The basic nature of this wave behaviour is not well-understood because, to date, an important effect has been neglected, namely, the shuttle streaming of protoplasm which accompanies the biochemica...
متن کاملDispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold.
In the large amoeboid organism Physarum, biochemical oscillators are spatially distributed throughout the organism and their collective motion exhibits phase waves, which carry physiological signals. The basic nature of this wave behaviour is not well-understood because, to date, an important effect has been neglected, namely, the shuttle streaming of protoplasm which accompanies the biochemica...
متن کاملDispersion relations to oscillatory reaction-diffusion systems with the self-consistent flow
Dispersion curves to a oscillatory reaction-diffusion system with the selfconsistent flow have obtained by means of numerical calculations. The flow modulates the shape of dispersion curves and characteristics of traveling waves. The point of inflection which separates the dispersion curves into two branches corresponding to trigger and phase waves, moves according to the value of the advection...
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Self-organized mechanisms are frequently encountered in nature and known to achieve flexible, adaptive control and decision-making. Noise plays a crucial role in such systems: It can enable a self-organized system to reliably adapt to short-term changes in the environment while maintaining a generally stable behavior. This is fundamental in biological systems because they must strike a delicate...
متن کاملExcitable front geometry in reaction-diffusion systems with anomalous dispersion.
Two-dimensional excitable systems with anomalous dispersion provide a discrete set of interpulse distances for the stable propagation of planar wave trains. Numerical simulations show that the trailing front of a pulse pair can undergo transitions between these stable distances. In response to localized perturbations, the trailing front converges towards one of numerous, sigmoidal shapes. Their...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2007
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-006-0067-1