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

The de Broglie Wavelength02:32

The de Broglie Wavelength

31.4K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
31.4K
Diffusion on Chromatography Columns01:07

Diffusion on Chromatography Columns

953
In column chromatography, when an analyte is introduced as a narrow band at the top of the column, the solutes begin to separate and broaden, developing a Gaussian profile. This broadening occurs due to various factors, such as longitudinal diffusion.
Longitudinal diffusion occurs when the solute molecules in the mobile phase diffuse from the more concentrated center of the chromatographic band to the more dilute regions on either side, both towards and against the flow direction. This...
953
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

1.0K
Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
1.0K
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

560
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
560
Colloidal precipitates01:09

Colloidal precipitates

2.4K
The high insolubility of some precipitates can result in an unfavorable relative supersaturation. This can lead to colloidal particles with a large surface-to-mass ratio, where adsorption is promoted. For instance, in the precipitation of silver chloride, silver ions are adsorbed on the surface of the colloidal particles, forming a primary layer. This layer attracts ions of opposite charge (such as nitrate ions), forming a diffuse secondary layer of adsorbed ions. This electric double layer...
2.4K
Frequency-dependent Selection01:21

Frequency-dependent Selection

22.6K
When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
22.6K

You might also read

Related Articles

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

Sort by
Same author

ROS inhibits microtubule dynamics and cell growth heterogeneity during Arabidopsis sepal morphogenesis.

iScience·2026
Same author

Active Solids: Topological Defect Self-Propulsion Without Flow.

Physical review letters·2026
Same author

Pattern Formation Beyond Turing: Physical Principles of Mass-Conserving Reaction-Diffusion Systems.

Annual review of biophysics·2026
Same author

Coarsening dynamics of chemotactic aggregates.

Physical review. E·2025
Same author

Chemotaxis-Induced Phase Separation.

Physical review letters·2025
Same author

Delay-facilitated self-assembly in compartmentalized systems.

Proceedings of the National Academy of Sciences of the United States of America·2025

Related Experiment Video

Updated: Nov 11, 2025

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
10:07

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Published on: January 31, 2020

6.4K

Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems.

Fridtjof Brauns1, Henrik Weyer1, Jacob Halatek2

  • 1Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstraße 37, D-80333 München, Germany.

Physical Review Letters
|March 30, 2021
PubMed
Summary

Wavelength selection in reaction-diffusion systems is a coarsening process interrupted by specific wavelengths. Mass-conserving systems exhibit uninterrupted coarsening driven by self-amplifying mass transport.

More Related Videos

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

14.6K
Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup
09:56

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Published on: October 7, 2025

179

Related Experiment Videos

Last Updated: Nov 11, 2025

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
10:07

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Published on: January 31, 2020

6.4K
Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

14.6K
Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup
09:56

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup

Published on: October 7, 2025

179

Area of Science:

  • Non-equilibrium physics
  • Chemical reaction-diffusion systems
  • Pattern formation

Background:

  • Wavelength selection in reaction-diffusion systems is a key phenomenon in pattern formation.
  • This selection is often linked to coarsening processes interrupted by specific wavelengths.
  • Understanding the underlying mechanisms is crucial for predicting emergent patterns.

Purpose of the Study:

  • To elucidate the mechanisms driving coarsening in mass-conserving reaction-diffusion systems.
  • To establish a general criterion for coarsening.
  • To analyze interrupted coarsening and wavelength selection in systems with broken mass conservation.

Main Methods:

  • Derivation of a general coarsening criterion for mass-conserving systems.
  • Analysis of self-amplifying mass transport between high-density domains.
  • Generalization of the theory to systems with weakly broken mass conservation.

Main Results:

  • Coarsening in mass-conserving systems is driven by self-amplifying mass transport.
  • Coarsening is generically uninterrupted in two-component mass-conserving systems.
  • A theoretical framework is provided for interrupted coarsening and wavelength selection.

Conclusions:

  • The study provides a general theory for wavelength selection in reaction-diffusion systems.
  • Interrupted coarsening arises from deviations from perfect mass conservation.
  • The findings offer a pathway to analyze pattern formation far from equilibrium.