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

Epistasis in the multiple locus symmetric viability model.

F B Christiansen1

  • 1Department of Ecology and Genetics, University of Aarhus, Denmark.

Journal of Mathematical Biology
|January 1, 1988
PubMed
Summary

This study analyzes the n-locus symmetric viability model, revealing that additive epistasis significantly shapes genetic dynamics. The sign structure of epistasis determines the stability of genetic equilibria, impacting evolutionary outcomes.

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

T Cell Dysfunction in the Acidic Tumor Microenvironment.

Acta physiologica (Oxford, England)·2026
Same author

A genome-wide association study for milk production traits in Danish Jersey cattle using a 50K single nucleotide polymorphism chip.

Journal of animal science·2010
Same author

The evolution of n-player cooperation-threshold games and ESS bifurcations.

Journal of theoretical biology·2005
Same author

An evolutionary-game model of tumour-cell interactions: possible relevance to gene therapy.

European journal of cancer (Oxford, England : 1990)·2001
Same author

The strength of the selection barrier between populations.

Genetical research·2001
Same author

Allelic genealogies in sporophytic self-incompatibility systems in plants.

Genetics·1998

Area of Science:

  • Population Genetics
  • Mathematical Biology
  • Evolutionary Genetics

Background:

  • Understanding multi-locus genetic models is crucial for evolutionary biology.
  • Epistasis, or gene interaction, significantly influences fitness and evolutionary trajectories.
  • Previous models often focused on non-symmetric or simpler systems.

Purpose of the Study:

  • To analyze the dynamics of the n-locus two-allele symmetric viability model.
  • To investigate the role of additive epistasis in determining genetic equilibrium stability.
  • To explore the relationship between epistasis, recombination, and evolutionary outcomes.

Main Methods:

  • Utilized a linear transformation of gametic frequencies for dynamical analysis.
  • Derived recurrence equations dependent on epistatic parameters and recombination distribution.
  • Analyzed the stability of the central equilibrium point.

Main Results:

  • The central equilibrium (equal gamete frequencies) stability depends on epistasis sign structure and recombination.
  • Total negative epistasis ensures central equilibrium stability across recombination rates.
  • Free recombination allows either central equilibrium or fixation states to be stable.
  • No recombination with positive epistasis can lead to unstable central equilibrium and stable boundary equilibria.

Conclusions:

  • The sign structure of additive epistasis is a key determinant of n-locus symmetric viability model dynamics.
  • Symmetric and non-symmetric multi-locus models share dynamical properties related to epistasis.
  • A novel non-symmetric model with total negative epistasis is proposed, mirroring symmetric model dynamics.

Related Experiment Videos