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The chemical and physical properties of plasma membranes cause them to be selectively permeable. Since plasma membranes have both hydrophobic and hydrophilic regions, substances need to be able to transverse both regions. The hydrophobic area of membranes repels substances such as charged ions. Therefore, such substances need special membrane proteins to cross a membrane successfully. In  facilitated transport, also known as facilitated diffusion, molecules and ions travel across a...
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The chemical and physical properties of plasma membranes cause them to be selectively permeable. Since plasma membranes have both hydrophobic and hydrophilic regions, substances need to be able to transverse both regions. The hydrophobic area of membranes repels substances such as charged ions. Therefore, such substances need special membrane proteins to cross a membrane successfully. In  facilitated transport, also known as facilitated diffusion, molecules and ions travel across a...
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The transport of solutes across the cell membrane is essential for metabolic processes, like maintaining cell size and volume, generating the action potential, exchanging nutrients and gases, etc. Membrane transport can be either passive or active. It can be simple diffusion, facilitated, or mediated transport aided by transport proteins such as transporters and channels.
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Introduction to Solid Supported Membrane Based Electrophysiology
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Feedback between interacting transport channels.

T Brandes1

  • 1Institut für Theoretische Physik, Hardenbergstr. 36, TU Berlin, D-10623 Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2015
PubMed
Summary

Interacting particles in a multi-channel system exhibit suppressed number fluctuations due to collective feedback control. This feedback signal spreads diffusively, showing scaling and information flow, impacting particle noise spectral functions.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Particle transport in multi-channel systems is a fundamental problem.
  • Interactions between particles can significantly alter system dynamics and statistics.
  • Understanding fluctuation suppression is key in various physical phenomena.

Purpose of the Study:

  • To introduce and analyze a model of particle transport through numerous channels.
  • To investigate the effect of inter-particle interactions on particle number fluctuations.
  • To explore the connection between collective feedback control and particle transport dynamics.

Main Methods:

  • Development of a mathematical model for particle transport in many channels.
  • Analysis of particle number statistics, focusing on fluctuation suppression.

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  • Application of a mean-field approximation to derive a feedback control mechanism.
  • Interpretation of dynamics in terms of diffusive signal spreading and information flow.

    • Main Results:

    • A model demonstrating strong suppression of particle number fluctuations due to interactions is presented.
    • The system's behavior in a mean-field limit is equivalent to a time-dependent collective feedback control.
    • The feedback signal exhibits diffusive spreading across channels, displaying scaling properties.
    • Quantification of dynamics via information flow and analysis of the particle noise spectral function.

    Conclusions:

    • Inter-particle interactions can effectively control and suppress fluctuations in particle transport systems.
    • The collective feedback mechanism provides a novel perspective on complex transport dynamics.
    • The diffusive spreading of feedback signals and associated scaling are key observable features.