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

Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.6K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.6K
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.2K
Nonconscious Mimicry01:13

Nonconscious Mimicry

4.6K
Nonconscious mimicry occurs when individuals alter their mannerisms to match the behaviors and expressions of those nearby, without intention.
4.6K
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

1.3K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
1.3K
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

126
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...
126
Restarting Stalled Replication Forks02:37

Restarting Stalled Replication Forks

5.8K
DNA replication is initiated at sites containing predefined DNA sequences known as origins of replication. DNA is unwound at these sites by the minichromosome maintenance (MCM) helicase and other factors such as Cdc45 and the associated GINS complex.The unwound single strands are protected by replication protein A (RPA) until DNA polymerase starts synthesizing DNA at the 5’ end of the strand in the same direction as the replication fork. To prevent the replication fork from falling apart,...
5.8K

You might also read

Related Articles

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

Sort by
Same author

Comparative histological analysis of vertebrates reveals Triassic climate variability across southern Pangea.

Journal of anatomy·2026
Same author

Graph statistics theory of individualized quantitative genetics under haplotype-resolved genome assembly.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Intervention in Health Misinformation Using Large Language Models for Automated Detection, Thematic Analysis, and Inoculation: Case Study on COVID-19.

Journal of medical Internet research·2026
Same author

Patient Priorities in Age-Friendly 4Ms Care.

Journal of gerontological nursing·2025
Same author

Development of production methodologies for scFv-Fc conjugated critical reagents to support CAR-T clinical programs.

Bioanalysis·2025
Same author

High-order interaction modeling of tumor-microenvironment crosstalk for tumor growth.

Physics of life reviews·2025
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Jul 26, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.2K

Completely integrable replicator dynamics associated to competitive networks.

Joshua Paik1, Christopher Griffin2

  • 1Department of Mathematics. The Pennsylvania State University, University Park, Pennsylvania 16802, USA.

Physical Review. E
|June 17, 2023
PubMed
Summary
This summary is machine-generated.

We introduce an infinite family of Liouville-Arnold integrable replicator equations from evolutionary game theory. This classification aids in understanding dynamics in biological and social systems.

More Related Videos

Quantification of Protein Interaction Network Dynamics using Multiplexed Co-Immunoprecipitation
00:07

Quantification of Protein Interaction Network Dynamics using Multiplexed Co-Immunoprecipitation

Published on: August 21, 2019

8.5K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.7K

Related Experiment Videos

Last Updated: Jul 26, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.2K
Quantification of Protein Interaction Network Dynamics using Multiplexed Co-Immunoprecipitation
00:07

Quantification of Protein Interaction Network Dynamics using Multiplexed Co-Immunoprecipitation

Published on: August 21, 2019

8.5K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.7K

Area of Science:

  • Evolutionary Game Theory
  • Mathematical Biology
  • Dynamical Systems

Background:

  • Replicator equations model strategy evolution in game theory.
  • These equations are related to Lotka-Volterra models.
  • Integrability is a key property for analyzing complex dynamical systems.

Purpose of the Study:

  • To generate an infinite family of Liouville-Arnold integrable replicator equations.
  • To provide conserved quantities and a Poisson structure for these equations.
  • To classify tournament replicators and analyze specific dynamics.

Main Methods:

  • Construction of an infinite family of ordinary differential equations.
  • Demonstration of Liouville-Arnold integrability via conserved quantities.
  • Explicit derivation of a Poisson structure.
  • Classification of tournament replicators up to dimension 7.

Main Results:

  • An infinite family of Liouville-Arnold integrable replicator equations is produced.
  • Conserved quantities and a Poisson structure are explicitly provided.
  • Tournament replicators are classified up to dimension 6 and mostly for dimension 7.
  • Quasiperiodic dynamics are shown for a specific model (Allesina and Levine, 2011).

Conclusions:

  • The developed framework enables the analysis of complex evolutionary dynamics.
  • Liouville-Arnold integrability offers a powerful tool for studying replicator equations.
  • The classification provides a comprehensive understanding of tournament replicator dynamics.