Related Experiment Video
Updated: Jun 8, 2026
10:14
Wireless Electrophysiological Recording of Neurons by Movable Tetrodes in Freely Swimming Fish
Published on: November 26, 2019
Rearrangement dynamics of fishbonelike Turing patterns generated by spatial periodic forcing
Tamás Bánsági1, Sama Ansari, Irving R Epstein
1Department of Chemistry and Volen Center for Complex Systems, Brandeis University, Waltham, Massachusetts 02454-9110, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
External light patterns create one-directional Turing structures in reaction-diffusion systems. These patterns then self-organize into stable arrangements, sometimes losing their initial symmetry upon relaxation.
Area of Science:
- Nonlinear dynamics
- Pattern formation in chemical systems
Background:
- Reaction-diffusion systems are fundamental to understanding pattern formation.
- External forcing can significantly alter pattern evolution.
Purpose of the Study:
- To investigate the self-organization of light-induced Turing patterns.
- To analyze the symmetry changes during pattern relaxation.
Main Methods:
- Utilizing a photosensitive reaction-diffusion system.
- Applying spatially periodic illumination to create initial patterns.
- Observing pattern evolution in the absence of external forcing.
Main Results:
- Successfully generated one-dimensionally repetitive Turing structures.
- Observed self-reorganization of these patterns into stationary states.
- Documented instances of partial or complete symmetry loss in the relaxed patterns.
Conclusions:
- Spatially periodic forcing can guide the formation of anisotropic Turing patterns.
- The relaxation dynamics of these patterns can lead to symmetry breaking.
- This study provides insights into controlling and understanding pattern evolution in driven systems.
Related Concept Videos
01:06Fixed Action Patterns
A fixed action pattern (FAP) is a specific, hard-wired sequence of behaviors that occurs in response to an external stimulus, called a sign stimulus. The behavior is “fixed” because it is essentially unchangeable—proceeding similarly across individuals of a species every time it occurs.
01:16Properties of Laplace Transform-II
Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...
01:06Forced Oscillations
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
01:24Sequence Networks of Rotating Machines
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
01:22Muscle Stimulation Frequency
The contraction strength of muscles is regulated by motor neurons, which modulate the frequency of action potentials dispatched to the motor units based on the body's requirements. This process of varying the muscle stimulation frequency allows muscles to contract with a force that is precisely tailored to the needs of the moment, whether lifting a feather or a heavy box.
Wave summation
At low firing rates, motor neurons induce individual twitch contractions in muscle fibers. These twitches...
Wave summation
At low firing rates, motor neurons induce individual twitch contractions in muscle fibers. These twitches...
01:20Discrete-Time Fourier Series
The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...
For a discrete-time periodic signal x[n]...