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 Videos

Generalized hydrodynamics of reaction-diffusion systems and dissipative structures.

Mazen Al-Ghoul1

  • 1American University of Beirut, PO Box 11-0236, Chemistry Department, Riad El-Solh, Beirut 1107 2020, Lebanon. mg05@aub.edu.lb

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 13, 2004
PubMed
Summary

Generalized hydrodynamics (GH) offer a more suitable model than traditional equations for reaction-diffusion systems, especially in small spaces. This study applies GH to glycolysis, revealing complex wave and Turing patterns.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Transformation Cascades in Iron Oxides: Quantitative Resolution of Sequential Precipitation Using the Reaction-Diffusion Framework.

ACS omega·2026
Same author

Tunable Fractal Morphogenesis in Reaction-Diffusion Crystallization: From Dendrites to Compact Aggregates.

ACS omega·2025
Same author

Tuning the structural properties of cadmium-aluminum layered double hydroxide for enhanced photocatalytic dye degradation.

RSC advances·2022
Same author

Simulation of geochemical banding: Theoretical modeling and fractal structure in acidization-diffusion-precipitation dynamics.

Physical review. E·2019
Same author

Band Propagation, Scaling Laws, and Phase Transition in a Precipitate System III: Effect of the Anions of Precursors.

The journal of physical chemistry. A·2019
Same author

Liesegang Banding for Controlled Size and Growth of Zeolitic-Imidazolate Frameworks.

Small (Weinheim an der Bergstrasse, Germany)·2019

Area of Science:

  • Theoretical physics
  • Chemical kinetics
  • Systems biology

Background:

  • Conventional parabolic reaction-diffusion equations have limitations, particularly in describing systems with small characteristic lengths.
  • Generalized hydrodynamics (GH) provide a more comprehensive framework for modeling complex dynamic systems.

Purpose of the Study:

  • To derive and apply generalized hydrodynamics (GH) equations to a reaction-diffusion system.
  • To investigate the suitability of GH equations compared to conventional parabolic equations, especially in small geometries.
  • To analyze dissipative structures in glycolysis and their emergent patterns.

Main Methods:

  • Derivation of generalized hydrodynamics (GH) equations.
  • Numerical solution of GH equations using the finite-element method.

Related Experiment Videos

  • Application to a model system of glycolysis.

    • Main Results:

    • The derived GH equations are hyperbolic and more general than parabolic reaction-diffusion equations.
    • Numerical solutions reveal a variety of wave and Turing patterns in the glycolysis model.
    • Calortropy production dynamics correlate with the increasing complexity of the observed patterns.

    Conclusions:

    • Generalized hydrodynamics (GH) offer a powerful and more accurate approach for modeling reaction-diffusion systems, particularly in confined or small-scale environments.
    • The study demonstrates the capability of GH to capture complex spatio-temporal patterns, such as wave and Turing patterns, in biological systems like glycolysis.
    • The correlation between calortropy production and system complexity suggests GH can provide insights into the energetic and organizational principles of biological pattern formation.