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

Single ion channel models incorporating aggregation and time interval omission

F G Ball1, G F Yeo, R K Milne

  • 1Department of Mathematics, University of Nottingham, United Kingdom.

Biophysical Journal
|February 1, 1993
PubMed
Summary

We developed semi-Markov models for single channel dynamics, allowing general sojourn times and correlations. This framework simplifies analysis by being invariant to time interval omission, clarifying stochastic modeling.

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

Note on the Application of the Antiseptic Method of Dressing to Cranio-Cerebral Surgery.

British medical journal·2010
Same author

Single channel kinetics of a glutamate receptor.

Biophysical journal·2009
Same author

Glutamate receptor channel kinetics: the effect of glutamate concentration.

Biophysical journal·2009
Same author

Secondary structure of an isolated P-region from the voltage-gated sodium channel: a molecular modelling/dynamics study.

Biophysical chemistry·2006
Same author

Simulation approaches to ion channel structure-function relationships.

Quarterly reviews of biophysics·2002
Same author

Amantadine blocks channel activity of the transmembrane segment of the NB protein from influenza B.

European biophysics journal : EBJ·2001

Area of Science:

  • Biophysics and Computational Biology
  • Stochastic Processes and Mathematical Modeling

Background:

  • Understanding the dynamic behavior of single ion channels is crucial in biophysics.
  • Existing models like continuous-time Markov, diffusion, and fractal models have limitations in capturing complex channel dynamics.

Purpose of the Study:

  • To present a general theoretical framework for stochastic modeling of single channel dynamics.
  • To introduce semi-Markov models that overcome limitations of existing approaches.
  • To incorporate state aggregation and time interval omission into a unified framework.

Main Methods:

  • Developed semi-Markov models allowing general distributions for state sojourn times.
  • Incorporated arbitrary correlations between successive sojourn times.

Related Experiment Videos

  • Utilized the invariance property with respect to time interval omission for analysis.

    • Main Results:

    • The proposed semi-Markov models subsume standard continuous-time Markov, diffusion, and fractal models.
    • Demonstrated the framework's invariance to time interval omission, simplifying derivation of aggregated process properties.
    • Analyzed equilibrium behavior, sojourn time distributions, moments, and correlation functions.

    Conclusions:

    • The general theoretical framework provides a powerful and flexible tool for stochastic modeling of single channel behavior.
    • The semi-Markov models offer significant advantages in analyzing complex channel dynamics, including non-exponential sojourn times and correlations.
    • The invariance property simplifies the interpretation and analysis of aggregated processes, even when underlying processes are Markovian.