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

Regular systems of inbreeding.

W Boucher1, T Nagylaki

  • 1Enrico Fermi Institute, University of Chicago, IL 60637.

Journal of Mathematical Biology
|January 1, 1988
PubMed
Summary
This summary is machine-generated.

This study analyzes inbreeding systems to predict genetic uniformity. Symmetrical mating patterns simplify convergence analysis, ensuring accurate predictions for population genetics.

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

Publisher Correction: Live-cell three-dimensional single-molecule tracking reveals modulation of enhancer dynamics by NuRD.

Nature structural & molecular biology·2023
Same author

Live-cell three-dimensional single-molecule tracking reveals modulation of enhancer dynamics by NuRD.

Nature structural & molecular biology·2023
Same author

Luteolin inhibits myelin basic protein-induced human mast cell activation and mast cell-dependent stimulation of Jurkat T cells.

British journal of pharmacology·2008
Same author

Intravesical nanocrystalline silver decreases experimental bladder inflammation.

The Journal of urology·2008
Same author

The flavonoid luteolin inhibits niacin-induced flush.

British journal of pharmacology·2008
Same author

Anti-chemokine therapy for inflammatory diseases.

International journal of immunopathology and pharmacology·2007
Same journal

A perception-memory PDE framework for seasonal migration dynamics.

Journal of mathematical biology·2026
Same journal

Dynamic resource allocation in eukaryotic Resource Balance Analysis.

Journal of mathematical biology·2026
Same journal

Discrete-time exploitative competition model of different stage-specific predators.

Journal of mathematical biology·2026
Same journal

Spatiotemporal SEIQR Epidemic Modeling with Optimal Control for Vaccination, Treatment, and Social Measures.

Journal of mathematical biology·2026
Same journal

Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress.

Journal of mathematical biology·2026
Same journal

Intraspecific interactions facilitate mutualism across multilayer networks under weak selection.

Journal of mathematical biology·2026
See all related articles

Area of Science:

  • Population Genetics
  • Quantitative Genetics
  • Mathematical Biology

Background:

  • Inbreeding systems with discrete generations and constant mating patterns are fundamental to population genetics.
  • Understanding the convergence to genetic uniformity is crucial for predicting evolutionary trajectories.

Purpose of the Study:

  • To develop a theoretical framework for analyzing convergence to genetic uniformity in regular inbreeding systems.
  • To establish conditions for convergence and identify probabilities of identity that approach one.
  • To simplify the analysis of convergence using condensed matrices for systems with mating pattern symmetries.

Main Methods:

  • Matrix algebra to relate mating system matrices (M) to identity probability recursion matrices (Q).
  • Analysis of eigenvalues and eigenvectors of recursion matrices.

Related Experiment Videos

  • Development and application of condensed matrices (R) for symmetric mating systems.

    • Main Results:

    • Necessary and sufficient conditions for convergence to genetic uniformity are derived.
    • The maximal eigenvalue of the condensed matrix (R) equals that of the full matrix (Q) for irreducible systems.
    • The asymptotic rate of convergence is preserved when using the condensed matrix for aperiodic systems.

    Conclusions:

    • Symmetries in mating systems allow for a reduced dimensional analysis (matrix R) of genetic uniformity convergence.
    • The condensed matrix approach accurately predicts convergence and rates for various population structures (autosomal, X-linked, monoecious, dioecious).
    • Explicit calculations for circular mating demonstrate the practical application of the derived methods.