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Related Concept Videos

Non-gated Ion Channels01:24

Non-gated Ion Channels

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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....
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Ion Channels01:19

Ion Channels

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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...
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Ligand-Gated Ion Channel Receptor: Gating Mechanism01:30

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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...
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Ligand-gated Ion Channels01:19

Ligand-gated Ion Channels

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Ligand-gated ion channels are transmembrane proteins with a channel for ions to pass through and a binding site for a ligand. The channel opens only when a ligand attaches to the binding site.
Three Subfamilies of Ligand-gated Ion Channels
Ligand-gated ion channels fall into three subfamilies. The 'Cys-loop' includes the nicotinic acetylcholine receptors, γ-aminobutyric acid (GABA), glycine, and 5-hydroxytryptamine receptors. The second one is the 'Pore-loop' channels that...
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Mechanically-gated Ion Channels01:12

Mechanically-gated Ion Channels

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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...
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Voltage-gated Ion Channels01:26

Voltage-gated Ion Channels

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Voltage-gated ion channels are transmembrane proteins that open and close in response to changes in the membrane potential. They are present on the membranes of all electrically excitable cells such as neurons, heart, and muscle cells.
Generally, all voltage-gated ion channels have a 'voltage-sensing domain' that spans the lipid bilayer. The charged residues in the sensor move in response to the membrane potential changes that open the channel allowing ions movement. There are several...
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Related Experiment Video

Updated: Jan 9, 2026

Recapitulation of an Ion Channel IV Curve Using Frequency Components
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Recapitulation of an Ion Channel IV Curve Using Frequency Components

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Modelling ion channels with a view towards identifiability.

Ivo Siekmann1

  • 1School of Computer Science and Mathematics (CSM), Liverpool John Moores University (LJMU), Byrom Way, Liverpool, L3 3AF, Merseyside, United Kingdom. i.siekmann@ljmu.ac.uk.

Bulletin of Mathematical Biology
|December 8, 2025
PubMed
Summary
This summary is machine-generated.

Aggregated Markov models offer a flexible framework for modeling ion channel dynamics. However, complex models can become non-identifiable, suggesting a need for data-driven approaches for mechanistic modeling.

Keywords:
Aggregated Markov modelIon channelNon-identifiability

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Related Experiment Videos

Last Updated: Jan 9, 2026

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Area of Science:

  • Biophysics
  • Computational Biology
  • Biomathematics

Background:

  • Aggregated Markov models are widely used for stochastic dynamics across multiple timescales, particularly in ion channel research.
  • These models interpret states as distinct biophysical states rather than generators of sojourn times.
  • The flexibility of these models allows for the representation of complex ion channel behaviors, including slow and fast gating kinetics.

Purpose of the Study:

  • To review the properties of aggregated Markov models.
  • To discuss the implications of these models for mechanistic ion channel modeling.
  • To investigate model non-identifiability and propose alternative modeling strategies.

Main Methods:

  • Utilizing Pólya enumeration to calculate aggregated Markov models with a specified number of states.
  • Presenting two derivations of the non-identifiability result for models exceeding parameter limits.
  • Analyzing the non-identifiable fully connected three-state model to understand parameter limitations.

Main Results:

  • Demonstrated that aggregated Markov models with a certain number of open and closed states are non-identifiable if they exceed the maximum number of parameters.
  • Provided a detailed analysis of non-identifiability in a three-state model.
  • Highlighted the limitations of current aggregated Markov models in representing distinct biophysical states.

Conclusions:

  • Non-identifiability poses a significant challenge for mechanistic ion channel modeling using aggregated Markov models.
  • Designing models based solely on assumed transitions between biophysical states modulated by ligand binding is less preferable.
  • Building models using additional data sources that offer direct insight into conformational dynamics is recommended for more robust mechanistic modeling.