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Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy
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Nonstationary Markovian replication process causing diverse diffusions.

Yichul Choi1, Hyun-Joo Kim2

  • 1Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0435, USA.

Physical Review. E
|January 20, 2018
PubMed
Summary
This summary is machine-generated.

We present a unified generative model for various nonstationary diffusions. This model links diffusivity to replication changes, enabling control over diverse diffusion behaviors like superdiffusion and subdiffusion.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Nonstationary diffusion processes are crucial in various scientific fields.
  • Understanding and modeling diverse diffusion behaviors, such as superdiffusion and subdiffusion, remains a challenge.

Purpose of the Study:

  • To introduce a single generative mechanism capable of describing diverse nonstationary diffusions.
  • To analytically derive the time evolution of probability distributions and generalized telegrapher equations with time-varying coefficients.

Main Methods:

  • Consideration of a nonstationary Markovian replication process for steps.
  • Analytical derivation of the time evolution of walker displacement probability distribution.
  • Derivation of the generalized telegrapher equation with time-varying coefficients.

Main Results:

  • Demonstrated that diffusivity is determined by temporal changes in step replication.
  • Achieved diverse diffusion behaviors including alternating, super-, sub-, and marginal diffusion.
  • Linked specific replication patterns (oscillating, increasing, decreasing) to distinct diffusion types.

Conclusions:

  • The proposed generative mechanism offers a unified framework for diverse nonstationary diffusions.
  • Controlling step replication provides a method to engineer specific diffusion dynamics.
  • This work advances the understanding of anomalous diffusion phenomena.