Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Velocity and Acceleration of a Wave00:51

Velocity and Acceleration of a Wave

5.1K
A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which is not constant. In addition, the velocity of the medium is perpendicular to the velocity of the wave. The variable speed of the particles of the medium implies that there must be acceleration associated with it. 
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time....
5.1K
Sound as Pressure Waves01:17

Sound as Pressure Waves

4.7K
Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
4.7K
Equations of Wave Motion01:02

Equations of Wave Motion

8.8K
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
8.8K
Damped Oscillations01:07

Damped Oscillations

7.5K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
7.5K
Graphing the Wave Function01:13

Graphing the Wave Function

3.3K
Consider the wave equation for a sinusoidal wave moving in the positive x-direction. The wave equation is a function of both position and time. From the wave equation, two different graphs can be plotted.
3.3K
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

982
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
982

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Catalytic Asymmetry Dictating Emergent Dynamics and Self-Assembly in Janus Dimer Pairs.

Journal of chemical theory and computation·2026
Same author

pH sensitive loading and release of doxorubicin by chitosan-graphene quantum dots hybridized material.

International journal of biological macromolecules·2025
Same author

Correction: Hu et al. Dynamics of Nanomotors Propelled by Enzyme Cascade Reactions. <i>Int. J. Mol. Sci.</i> 2024, <i>25</i>, 12586.

International journal of molecular sciences·2025
Same author

Dynamics of Nanomotors Propelled by Enzyme Cascade Reactions.

International journal of molecular sciences·2024
Same author

Meta-analysis of RCTs on the safety of non-fixation of mesh in TAPP inguinal hernia repair: an updated meta-analysis.

BMC surgery·2024
Same author

Chemical Logic Gates on Active Colloids.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2024

Related Experiment Video

Updated: Mar 23, 2026

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
09:37

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

6.2K

Dynamics of Scroll Wave in a Three-Dimensional System with Changing Gradient.

Xiao-Ping Yuan1, Jiang-Xing Chen2, Ye-Hua Zhao2

  • 1Information Engineering School, Hangzhou Dianzi University, Hangzhou 310018, P.R. China.

Plos One
|April 1, 2016
PubMed
Summary

Scroll wave dynamics in excitable media with gradient excitability show distinct behaviors. Increasing gradient leads from simple rotation to meandering and finally to a semi-turbulent state, revealing complex wave patterns.

More Related Videos

Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix
09:26

Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix

Published on: June 12, 2015

9.0K
Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

9.2K

Related Experiment Videos

Last Updated: Mar 23, 2026

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
09:37

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

6.2K
Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix
09:26

Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix

Published on: June 12, 2015

9.0K
Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

9.2K

Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Biophysics

Background:

  • Scroll waves are crucial in various biological and chemical systems.
  • Understanding their behavior in heterogeneous environments is key to explaining complex phenomena.
  • Gradient excitability introduces non-uniformity, significantly altering wave dynamics.

Purpose of the Study:

  • To investigate the detailed dynamics of scroll waves in excitable media with gradient excitability.
  • To identify and characterize different dynamical regimes based on the degree of gradient.
  • To elucidate the role of filament twisting in wave stability and pattern formation.

Main Methods:

  • Numerical simulations of scroll wave propagation in a 3D excitable medium.
  • Systematic variation of the excitability gradient parameter.
  • Analysis of wave velocity, filament twist, and pattern evolution.

Main Results:

  • Three distinct regimes were identified: simple rotating synchronization, meandering synchronous state, and semi-turbulent state.
  • Filament twisting was found to stabilize scroll waves in low-excitability regions, preventing breakup seen in 2D.
  • The transition to turbulence involves the breakup of the twisted filament, creating complex spatio-temporal patterns.

Conclusions:

  • Gradient excitability profoundly influences scroll wave dynamics, leading to diverse states.
  • Filament twisting is a critical factor for scroll wave stability in heterogeneous media.
  • The study provides insights into the mechanisms underlying complex wave phenomena in biological systems.