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

Temporal oscillations in neuronal nets.

G B Ermentrout, J D Cowan

    Journal of Mathematical Biology
    |April 18, 1979
    PubMed
    Summary
    This summary is machine-generated.

    This study models cortical neuron interactions, revealing that neural activity can form complex standing and traveling waves. These patterns

    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

    Computational study of NMDA conductance and cortical oscillations in schizophrenia.

    Frontiers in computational neuroscience·2014
    Same author

    Optimizing drug outcomes through pharmacogenetics: a case for preemptive genotyping.

    Clinical pharmacology and therapeutics·2012
    Same author

    New patterns of activity in a pair of interacting excitatory-inhibitory neural fields.

    Physical review letters·2011
    Same author

    Bistability in apoptosis: roles of bax, bcl-2, and mitochondrial permeability transition pores.

    Biophysical journal·2005
    Same author

    Model of the early development of thalamo-cortical connections and area patterning via signaling molecules.

    Journal of computational neuroscience·2004
    Same author

    A model for actin-filament length distribution in a lamellipod.

    Journal of mathematical biology·2002
    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
    Same journal

    A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida.

    Journal of mathematical biology·2026
    Same journal

    Superinfection and the hypnozoite reservoir for Plasmodium vivax: a multitype branching process approximation.

    Journal of mathematical biology·2026
    Same journal

    Correction to: Superinfection and the hypnozoite reservoir for Plasmodium vivax: a general framework.

    Journal of mathematical biology·2026
    Same journal

    Stoichiometric balance and sustained rhythms.

    Journal of mathematical biology·2026
    See all related articles

    Area of Science:

    • Computational Neuroscience
    • Mathematical Biology
    • Systems Neuroscience

    Background:

    • Understanding the collective dynamics of cortical neurons is crucial for deciphering brain function.
    • Existing models often simplify neuronal interactions, limiting insights into complex emergent behaviors.

    Purpose of the Study:

    • To develop and analyze a mathematical model for cortical neuron interactions.
    • To investigate the emergence and stability of spatio-temporal patterns in neuronal networks.

    Main Methods:

    • Derivation of a mathematical model for neuronal interactions.
    • Analysis of bifurcation phenomena from a resting state.
    • Investigation of traveling wave solutions in a periodic domain.
    • Stability analysis based on biological parameters.

    Related Experiment Videos

    Main Results:

    • Demonstrated the bifurcation of small-amplitude, spatially inhomogeneous standing oscillations from the rest state.
    • Identified the existence of traveling wave trains in a periodic domain.
    • Analyzed the stability of these emergent patterns using biological parameters.
    • Showcased homoclinic and heteroclinic orbits in the space-clamped system.

    Conclusions:

    • The model supports the emergence of complex spatio-temporal dynamics in cortical networks.
    • Neuronal network behavior can exhibit wave-like propagation and stable oscillatory patterns.
    • Mathematical modeling provides a framework for understanding the stability and dynamics of neural activity.