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Related Concept Videos

Diffusion01:12

Diffusion

Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
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Related Experiment Video

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Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
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Disentangling sources of anomalous diffusion.

Felix Thiel1, Franziska Flegel, Igor M Sokolov

  • 1Institute of Physics, Humboldt University Berlin, Newtonstrasse 15, 12489 Berlin, Germany.

Physical Review Letters
|July 19, 2013
PubMed
Summary

This study introduces the "fundamental moment" to easily assess subdiffusion properties from random processes. This method simplifies understanding subdiffusion, even with mixed origins, by analyzing its time-additive nature.

Area of Science:

  • Physics
  • Mathematics
  • Statistical Mechanics

Background:

  • Subdiffusion, a complex random process, often arises from unknown or mixed origins.
  • Understanding the fundamental properties of subdiffusion is crucial for various scientific fields.

Purpose of the Study:

  • To introduce a novel method for easily assessing key properties of subdiffusion.
  • To demonstrate the utility of the
  • fundamental moment
  • in analyzing subdiffusion processes.

Main Methods:

  • Defining and utilizing the
  • fundamental moment
  • of a random process, characterized by its additive property in time.
  • Analyzing subordinated processes by examining the inheritance of the fundamental moment's index from the parent process and its time dependence from the leading process.

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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

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Main Results:

  • The
  • fundamental moment
  • provides a straightforward way to assess important properties of subdiffusion, regardless of its origin.
  • In subordinated processes, the index of the fundamental moment is determined by the parent process, while its time dependence is dictated by the leading process.
  • For particle motion in disordered potentials, the structural disorder governs the fundamental moment's index, and the energetic disorder dictates its time dependence.

Conclusions:

  • The
  • fundamental moment
  • offers a powerful and accessible tool for characterizing subdiffusion.
  • This approach simplifies the analysis of complex random processes, particularly in disordered systems.