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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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Updated: Jan 23, 2026

Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques
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Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques

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Turbulent transport in reaction-diffusion systems.

A S Il'yn1,2, V A Sirota1, K P Zybin1,2

  • 1P.N. Lebedev Physical Institute of RAS, Leninskij pr. 53, 119991 Moscow, Russia.

Physical Review. E
|June 20, 2019
PubMed
Summary
This summary is machine-generated.

Turbulent advection drives exponential population growth in reaction-diffusion systems, even with density limits. This leads to faster reaction front propagation and high system intermittency.

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Area of Science:

  • Physics
  • Chemical Kinetics
  • Fluid Dynamics

Background:

  • Reaction-diffusion systems are fundamental in modeling various phenomena.
  • Turbulent advection significantly alters system dynamics.
  • Density saturation is a common feature in biological and chemical systems.

Purpose of the Study:

  • To investigate the impact of turbulent advection on reaction-diffusion systems.
  • To analyze population dynamics under density saturation.
  • To determine scaling exponents and intermittency in such systems.

Main Methods:

  • Analysis of reaction-diffusion equations with turbulent advection.
  • Focus on the viscous range of scales.
  • Calculation of exact expressions for scaling exponents.

Main Results:

  • Exponential population size increase observed, despite density saturation.
  • Exponential propagation of the reaction front.
  • Demonstration of high intermittency in the system's behavior.

Conclusions:

  • Turbulent advection can lead to counterintuitive population growth.
  • The interplay between advection and reaction kinetics is crucial.
  • The system exhibits complex dynamics characterized by intermittency.