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 Concept Videos

Modeling with Differential Equations01:25

Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
Ion Channels01:19

Ion Channels

The movement of ions like sodium, potassium, and calcium into and out of the cell is essential to maintain the electrochemical gradient in living cells. The ion channels—a class of membrane transport proteins—help maintain this ionic gradient for the smooth functioning of physiological activities such as maintaining cell size and volume, conducting nerve impulses, and gas and nutrient exchange.
Ion channels are specialized integral membrane proteins on the plasma membrane that allow specific...
Ligand-Gated Ion Channel Receptor: Gating Mechanism01:30

Ligand-Gated Ion Channel Receptor: Gating Mechanism

Ligand-gated ion channels are transmembrane proteins that play a vital role in intercellular communication and functions of the nervous system. They allow the influx of ions across the membrane once the neurotransmitter binds, allowing the subsequent transmission of electrical excitation across the neurons. Other ligand-gated ion channels, like the γ-aminobutyric acid (GABA) receptor, permit anions like chloride into the cells on the binding of the GABA molecule. Their entry into the cell...
Mechanically-gated Ion Channels01:12

Mechanically-gated Ion Channels

Mechanically-gated ion channels are proteins found in eukaryotic and prokaryotic cell membranes that open in response to mechanical stress. Tension, compression, swelling, and shear stress can alter the conformation of the protein, opening a transmembrane channel that allows the passage of ions for signal transmission. In eukaryotes, mechanically-gated channels are distributed in several regions like the neurons, lungs, skin, bladder, and heart, where they play critical roles in numerous...
Mechanically-gated Ion Channels01:12

Mechanically-gated Ion Channels

Mechanically-gated ion channels are proteins found in eukaryotic and prokaryotic cell membranes that open in response to mechanical stress. Tension, compression, swelling, and shear stress can alter the conformation of the protein, opening a transmembrane channel that allows the passage of ions for signal transmission. In eukaryotes, mechanically-gated channels are distributed in several regions like the neurons, lungs, skin, bladder, and heart, where they play critical roles in numerous...
Non-gated Ion Channels01:24

Non-gated Ion Channels

Ion channels are specialized proteins on the plasma membrane that allow charged ions to pass down their electrochemical gradient. Their main function is to maintain the membrane potential which is critical for cell viability. These channels are either gated or non-gated and can transport more than a thousand ions within milliseconds for the cellular event to occur.
Compared to the gated ion channels, the non-gated channels, also known as leakage or passive channels, have no gating mechanism.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

A retrospective real-world analysis of placental-based allografts on pressure ulcers.

SAGE open medicine·2026
Same author

A mathematical perspective on hypothesis-driven model construction: A case study in pea.

Mathematical biosciences·2026
Same author

Retrospective Evaluation of Human Amniotic Allografts for Diabetic Foot Ulcers and Venous Leg Ulcers Treated by an In-Home Mobile Wound Clinic.

Journal of the American Podiatric Medical Association·2025
Same author

Optimal control of multiple myeloma assuming drug resistance and off-target effects.

PLoS computational biology·2025
Same author

An in-depth study of the dynamics of Thornley's mathematical model in plant biology with a view to an improved model.

Journal of theoretical biology·2025
Same author

Agent-based modeling for the tumor microenvironment (TME).

Mathematical biosciences and engineering : MBE·2024

Related Experiment Video

Updated: May 18, 2026

Computational Modeling of Retinal Neurons for Visual Prosthesis Research - Fundamental Approaches
10:50

Computational Modeling of Retinal Neurons for Visual Prosthesis Research - Fundamental Approaches

Published on: June 21, 2022

Modeling ion channel dynamics through reflected stochastic differential equations.

Ciara E Dangerfield1, David Kay, Kevin Burrage

  • 1Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom. ciara.dangerfield@dtc.ox.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a reflected stochastic differential equation (SDE) model for ion channel dynamics. This new method provides computationally efficient and biologically realistic simulations, improving upon existing techniques.

More Related Videos

Recapitulation of an Ion Channel IV Curve Using Frequency Components
10:14

Recapitulation of an Ion Channel IV Curve Using Frequency Components

Published on: February 8, 2011

Single-Molecule Imaging of Lateral Mobility and Ion Channel Activity in Lipid Bilayers using Total Internal Reflection Fluorescence (TIRF) Microscopy
08:55

Single-Molecule Imaging of Lateral Mobility and Ion Channel Activity in Lipid Bilayers using Total Internal Reflection Fluorescence (TIRF) Microscopy

Published on: February 17, 2023

Related Experiment Videos

Last Updated: May 18, 2026

Computational Modeling of Retinal Neurons for Visual Prosthesis Research - Fundamental Approaches
10:50

Computational Modeling of Retinal Neurons for Visual Prosthesis Research - Fundamental Approaches

Published on: June 21, 2022

Recapitulation of an Ion Channel IV Curve Using Frequency Components
10:14

Recapitulation of an Ion Channel IV Curve Using Frequency Components

Published on: February 8, 2011

Single-Molecule Imaging of Lateral Mobility and Ion Channel Activity in Lipid Bilayers using Total Internal Reflection Fluorescence (TIRF) Microscopy
08:55

Single-Molecule Imaging of Lateral Mobility and Ion Channel Activity in Lipid Bilayers using Total Internal Reflection Fluorescence (TIRF) Microscopy

Published on: February 17, 2023

Area of Science:

  • Computational Biology
  • Biophysics
  • Biomathematics

Background:

  • Ion channels are crucial membrane proteins regulating electrical activity in excitable cells.
  • Current stochastic modeling methods for ion channel dynamics, like discrete-state Markov chains, are computationally intensive.
  • Continuous stochastic methods using stochastic differential equations (SDEs) are efficient but may lack biological realism.

Purpose of the Study:

  • To develop a computationally efficient and biologically realistic model for ion channel dynamics.
  • To address the limitations of existing stochastic modeling methodologies.
  • To validate a novel modeling approach against established methods.

Main Methods:

  • Modeling ion channel dynamics using a reflected stochastic differential equation (SDE).
  • Deriving the reflected SDE model as a continuous approximation of discrete-state Markov chain models.
  • Comparing simulation results (open channel and action potential statistics) with the discrete-state Markov chain method.

Main Results:

  • Simulations using the reflected SDE model yield biologically realistic results.
  • The reflected SDE model closely matches the statistical properties of discrete-state Markov chain models.
  • The new model offers a significant improvement in computational efficiency.

Conclusions:

  • The reflected SDE model provides a computationally efficient framework for simulating ion channel dynamics.
  • This approach ensures biologically realistic simulations while preserving key distributional properties.
  • The framework has potential for extension to other biochemical reaction networks.