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

A mathematical model of biological evolution

K Ishii, H Matsuda, N Ogita

    Journal of Mathematical Biology
    |January 1, 1982
    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

    Purification and characterization of a novel growth factor (FF-GF) synthesized by a rat hepatoma cell line, FF101.

    Biochemical and biophysical research communications·1992
    Same author

    Hyperthermo-chemo-radiotherapy as a definitive treatment for patients with early esophageal carcinoma.

    American journal of clinical oncology·1992
    Same author

    The 11q- syndrome with mosaic partial deletion of 11q.

    Acta paediatrica Japonica : Overseas edition·1992
    Same author

    [Basic and clinical studies on cefprozil in pediatrics].

    The Japanese journal of antibiotics·1992
    Same author

    Preoperative hyperthermia combined with chemotherapy and radiotherapy for patients with rectal carcinoma may prevent early local pelvic recurrence.

    International journal of colorectal disease·1992
    Same author

    Effect of intra-aortic balloon pumping after cardiac surgery: comparative study of use in coronary bypass and valve replacement.

    The Kobe journal of medical sciences·1992

    This study models biological evolution rates, revealing how mutation rates and selection pressure influence evolutionary speed. The mathematical model provides insights into genetic changes over time.

    Area of Science:

    • Evolutionary biology
    • Mathematical modeling
    • Population genetics

    Background:

    • Understanding biological evolution requires analyzing factors like mutation and selection.
    • Previous models often simplify these complex evolutionary dynamics.

    Purpose of the Study:

    • To develop a mathematical model for biological evolution.
    • To investigate the impact of mutation rate, selection pressure, and its duration on evolution rate.

    Main Methods:

    • A mathematical model describing the change in replicon numbers over time was proposed.
    • The model incorporates mutation rate (μ) and Malthusian parameters (m(t)).
    • Average evolution rate was rigorously obtained for constant and periodic fitness models.

    Related Experiment Videos

    Main Results:

    • The study derived the average evolution rate under different fitness models.
    • Results were analyzed for constant fitness and periodic fitness scenarios.
    • The findings were compared with actual molecular evolution and simulations.

    Conclusions:

    • The mathematical model provides a framework for understanding evolution rate dependencies.
    • The derived rates offer insights into genetic drift and adaptation.
    • The model's biological relevance was discussed in the context of real-world evolution.