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

Nonlinear pattern selection in a mechanical model for morphogenesis.

A S Perelson, P K Maini, J D Murray

    Journal of Mathematical Biology
    |January 1, 1986
    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

    Electrophysiological insights into Alzheimer's disease: A review of human and animal studies.

    Neuroscience and biobehavioral reviews·2024
    Same author

    Effectiveness of early vocational rehabilitation versus usual care to support RETurn to work after stroKE: A pragmatic, parallel-arm multicenter, randomized controlled trial.

    International journal of stroke : official journal of the International Stroke Society·2024
    Same author

    Modelling HIV/AIDS and monkeypox co-infection.

    Applied mathematics and computation·2022
    Same author

    A Process-based Model with Temperature, Water, and Lab-derived Data Improves Predictions of Daily Culex pipiens/restuans Mosquito Density.

    Journal of medical entomology·2022
    Same author

    Percentage grade 4 tumour predicts outcome for prostate adenocarcinoma in needle biopsies from patients with advanced disease: 10-year data from the TROG 03.04 RADAR trial.

    Pathology·2021
    Same author

    Real-time forecasts of the COVID-19 epidemic in China from February 5th to February 24th, 2020.

    Infectious Disease Modelling·2020
    Same journal

    Numerical modeling of fluid exchange between a collecting lymphatic vessel and the surrounding tissue.

    Journal of mathematical biology·2026
    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
    See all related articles

    This study validates a nonlinear mechanical model for morphogenesis, demonstrating its pattern-forming capabilities. Linear analysis reliably predicts nonlinear mode selection, aiding in understanding biological pattern development.

    Area of Science:

    • Developmental Biology
    • Mathematical Biology
    • Computational Biology

    Background:

    • Morphogenesis involves complex pattern formation.
    • Previous models require validation for predictive power.

    Purpose of the Study:

    • To establish the pattern-forming capability of Oster et al.'s nonlinear mechanical model for morphogenesis.
    • To develop reliable techniques for predicting and generating specific biological patterns.

    Main Methods:

    • Numerical simulation of the nonlinear mechanical model.
    • Linear analysis for mode selection prediction.
    • Nonlinear least square fitting to a dispersion relation for parameter determination.

    Main Results:

    • Linear analysis is a reliable predictor of nonlinear mode selection.

    Related Experiment Videos

  • A method for determining model parameters to generate specific patterns was developed.
  • A scenario for sequential dermal aggregation in chick embryos was simulated.

    • Conclusions:

    • The nonlinear mechanical model effectively captures pattern formation in morphogenesis.
    • The developed techniques enhance understanding and prediction of biological pattern development.
    • The model successfully replicates in vivo observations of dermal aggregations in chick embryos.