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

Unifying evolutionary and network dynamics.

Samarth Swarup1, Les Gasser

  • 1Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA. swarup@uiuc.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary
This summary is machine-generated.

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

A high-resolution, US-scale digital similar of interacting livestock, wild birds, and human ecosystems for multihost epidemic spread.

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

Evaluation of Remotely Sensed Inundation Data Sets to Estimate Flood-Associated Emergency Department Visits After Hurricane Harvey.

GeoHealth·2025
Same author

Flooding and emergency department visits: Effect modification by the CDC/ATSDR Social Vulnerability Index.

International journal of disaster risk reduction : IJDRR·2025
Same author

Understanding of income and race disparities in hurricane evacuation is contingent upon study case and design.

Scientific reports·2024
Same author

Data-driven scalable pipeline using national agent-based models for real-time pandemic response and decision support.

The international journal of high performance computing applications·2024
Same author

An agent-based framework to study forced migration: A case study of Ukraine.

PNAS nexus·2024
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

This study unifies network growth models, showing preferential attachment is a form of molecular evolution. A new single-parameter model links evolutionary dynamics to network science, enabling cross-disciplinary insights.

Area of Science:

  • Network Science
  • Evolutionary Biology
  • Statistical Physics

Background:

  • Real-world networks often exhibit small-world properties like scale-free distributions and high clustering.
  • Preferential attachment is a common network growth model where new links favor highly connected nodes.
  • Molecular evolution, modeled by the quasispecies equation, describes the dynamics of evolving molecular populations.

Purpose of the Study:

  • To present a unified model of network growth.
  • To demonstrate that preferential attachment is a specific instance of molecular evolution.
  • To bridge the gap between network dynamics and evolutionary dynamics.

Main Methods:

  • Development of a single-parameter network growth model.
  • Mathematical unification of preferential attachment, quasispecies equation, and Erdos-Rényi random graphs.

Related Experiment Videos

  • Derivation of the resulting degree distribution.
  • Simulations to validate the model's representation of network growth.

    • Main Results:

    • A single-parameter model successfully unifies diverse network growth processes.
    • Preferential attachment is shown to be a special case within a broader evolutionary framework.
    • The derived degree distribution aligns with simulation outcomes.
    • The model captures key aspects of network growth dynamics.

    Conclusions:

    • The unified model offers a new perspective on network formation.
    • Mathematical tools from evolutionary dynamics can be applied to network analysis.
    • Insights from network science can inform evolutionary biology.
    • This interdisciplinary approach enhances understanding of complex systems.