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 Experiment Video

Updated: Nov 9, 2025

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

6.6K

Stopping a reaction-diffusion front.

Jean-Guy Caputo1, Gustavo Cruz-Pacheco2, Benoît Sarels3

  • 1Laboratoire de Mathématiques, INSA Rouen Normandie - B.P. 8, Avenue de l'Université, 76801 Saint-Etienne du Rouvray, France.

Physical Review. E
|April 17, 2021
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

Diffusion01:12

Diffusion

212.0K
Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
212.0K
Diffusion01:21

Diffusion

5.8K
Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
5.8K
Le Chatelier's Principle: Changing Concentration02:27

Le Chatelier's Principle: Changing Concentration

62.5K
A system at equilibrium is in a state of dynamic balance, with forward and reverse reactions taking place at equal rates. If an equilibrium system is subjected to a change in conditions that affects these reaction rates differently (a stress), then the rates are no longer equal and the system is not at equilibrium. The system will subsequently experience a net reaction in the direction of a greater rate (a shift) that will re-establish the equilibrium. This phenomenon is summarized by Le...
62.5K
Feedback Inhibition00:46

Feedback Inhibition

56.0K
Biochemical reactions are occurring constantly in cells, converting starting substances to different products, usually with the help of enzymes that speed the reactions. Without enzymes, it would take far too long for most reactions to occur to be useful to the cell!
56.0K
Predicting Reaction Outcomes02:24

Predicting Reaction Outcomes

9.1K
Kinetics describes the rate and path by which a reaction occurs. In contrast, thermodynamics deals with state functions and describes the properties, behavior, and components of a system. It is not concerned with the path taken by the process and cannot address the rate at which a reaction occurs. Although it does provide information about what can happen during a reaction process, it does not describe the detailed steps of what appears on an atomic or a molecular level. On the other hand,...
9.1K
Limiting Reactant02:27

Limiting Reactant

65.5K
The relative amounts of reactants and products represented in a balanced chemical equation are often referred to as stoichiometric amounts. However, in reality, the reactants are not always present in the stoichiometric amounts indicated by the balanced equation.
65.5K

You might also read

Related Articles

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

Sort by
Same author

Salud publica de Mexico·2025
Same author

Applying a multi-strain dengue model to epidemics data.

Mathematical biosciences·2023
Same author

Knowledge, attitudes, perceptions, and COVID-19 hesitancy in a large public university in Mexico city during the early vaccination rollout.

BMC public health·2022
Same author

The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: the case of stacked underdominant clines.

Journal of mathematical biology·2022
Same author

Analysis of trophic networks: an optimisation approach.

Journal of mathematical biology·2021
Same author

DISPERSION OF A NEW CORONAVIRUS SARS-COV-2 BY AIRLINES IN 2020: TEMPORAL ESTIMATES OF THE OUTBREAK IN MEXICO.

Revista de investigacion clinica; organo del Hospital de Enfermedades de la Nutricion·2020

Reaction-diffusion fronts behave differently when encountering defects. Bistable fronts can be pinned, while monostable fronts cannot, forming a secondary pulse instead. This impacts biological modeling, such as tumor growth studies.

Area of Science:

  • Physics
  • Applied Mathematics
  • Computational Biology

Background:

  • Reaction-diffusion systems are fundamental to modeling phenomena like pattern formation and biological pattern development.
  • Defects in reaction-diffusion systems can significantly alter front propagation dynamics.
  • Understanding front-defect interactions is crucial for applications in biology and materials science.

Purpose of the Study:

  • To investigate and compare the pinning dynamics of bistable and monostable reaction-diffusion fronts interacting with a defect (reaction-free region).
  • To elucidate the distinct behaviors of bistable versus monostable fronts when encountering such defects.
  • To provide insights relevant to biological modeling, particularly in contexts like tumor growth.

Main Methods:

More Related Videos

Fluorescence Recovery after Merging a Droplet to Measure the Two-dimensional Diffusion of a Phospholipid Monolayer
07:54

Fluorescence Recovery after Merging a Droplet to Measure the Two-dimensional Diffusion of a Phospholipid Monolayer

Published on: October 15, 2015

8.2K
Reaction Kinetics and Combustion Dynamics of I4O9 and Aluminum Mixtures
09:16

Reaction Kinetics and Combustion Dynamics of I4O9 and Aluminum Mixtures

Published on: November 7, 2016

11.1K

Related Experiment Videos

Last Updated: Nov 9, 2025

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

6.6K
Fluorescence Recovery after Merging a Droplet to Measure the Two-dimensional Diffusion of a Phospholipid Monolayer
07:54

Fluorescence Recovery after Merging a Droplet to Measure the Two-dimensional Diffusion of a Phospholipid Monolayer

Published on: October 15, 2015

8.2K
Reaction Kinetics and Combustion Dynamics of I4O9 and Aluminum Mixtures
09:16

Reaction Kinetics and Combustion Dynamics of I4O9 and Aluminum Mixtures

Published on: November 7, 2016

11.1K
  • Utilized collective variables to describe the reaction-diffusion front.
  • Employed numerical simulations to observe and analyze front behavior.
  • Performed analysis of the time-independent problem to establish pinning criteria.

    • Main Results:

    • Confirmed that bistable fronts can be pinned by the reaction-free defect, supported by theoretical criteria and simulations.
    • Demonstrated that monostable fronts cannot be pinned and instead generate a secondary pulse past the defect.
    • Quantified the time required for the appearance of this secondary pulse for monostable fronts.

    Conclusions:

    • Bistable and monostable fronts exhibit fundamentally different responses to pinning defects.
    • The pinning behavior is critically dependent on the front's bistability or monostability.
    • These findings have significant implications for accurately modeling biological processes involving front propagation and defects.