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 model of ion channel kinetics using deterministic chaotic rather than stochastic processes.

L S Liebovitch1, T I Toth

  • 1Department of Ophthalmology, Columbia University, College of Physicians and Surgeons, New York 10032.

Journal of Theoretical Biology
|January 21, 1991
PubMed
Summary

This study introduces a deterministic model for ion channel kinetics, challenging the traditional random process assumption. The model

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

Movement-related phase locking in the delta-theta frequency band.

NeuroImage·2016
Same author

A three-leg model producing tetrapod and tripod coordination patterns of ipsilateral legs in the stick insect.

Journal of neurophysiology·2015
Same author

A network model comprising 4 segmental, interconnected ganglia, and its application to simulate multi-legged locomotion in crustaceans.

Journal of computational neuroscience·2015
Same author

A neuromechanical model for the neuronal basis of curve walking in the stick insect.

Journal of neurophysiology·2012
Same author

A neuromechanical model explaining forward and backward stepping in the stick insect.

Journal of neurophysiology·2012
Same author

The properties of reticular thalamic neuron GABA(A) IPSCs of absence epilepsy rats lead to enhanced network excitability.

The European journal of neuroscience·2007

Area of Science:

  • Biophysics
  • Computational Neuroscience
  • Ion Channel Physiology

Background:

  • Ion channel kinetics traditionally modeled as random processes.
  • Previous models assumed stochastic gating between open and closed states.

Purpose of the Study:

  • To propose and analyze an alternative deterministic model for ion channel kinetics.
  • To compare the properties of the deterministic model with traditional stochastic models.
  • To investigate the potential for experimental discrimination between deterministic and stochastic models.

Main Methods:

  • Developed a piecewise linear iterated map to model ion channel gating.
  • Calculated dwell time distributions, autocorrelation function, and power spectrum.
  • Explored non-linear generalizations of the deterministic map.

Related Experiment Videos

  • Analyzed phase space portraits for distinguishing deterministic and stochastic models.

    • Main Results:

    • The deterministic chaotic map mimics stochastic properties, including exponential dwell time distributions.
    • The linear map's results align with the two-state Markov model.
    • Phase space portraits offer a method to differentiate deterministic from random models.
    • Preliminary experimental data analysis suggests a preference for the deterministic model.

    Conclusions:

    • A deterministic model can replicate key statistical features of ion channel kinetics.
    • The proposed deterministic model offers a novel perspective on ion channel gating.
    • Further experimental validation is required to definitively confirm the deterministic nature of ion channel gating.