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Aging power spectrum of membrane protein transport and other subordinated random walks

Author

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  • Zachary R. Fox

    (Colorado State University
    Los Alamos National Laboratory)

  • Eli Barkai

    (Bar-Ilan University)

  • Diego Krapf

    (Colorado State University
    Colorado State University)

Abstract

Single-particle tracking offers detailed information about the motion of molecules in complex environments such as those encountered in live cells, but the interpretation of experimental data is challenging. One of the most powerful tools in the characterization of random processes is the power spectral density. However, because anomalous diffusion processes in complex systems are usually not stationary, the traditional Wiener-Khinchin theorem for the analysis of power spectral densities is invalid. Here, we employ a recently developed tool named aging Wiener-Khinchin theorem to derive the power spectral density of fractional Brownian motion coexisting with a scale-free continuous time random walk, the two most typical anomalous diffusion processes. Using this analysis, we characterize the motion of voltage-gated sodium channels on the surface of hippocampal neurons. Our results show aging where the power spectral density can either increase or decrease with observation time depending on the specific parameters of both underlying processes.

Suggested Citation

  • Zachary R. Fox & Eli Barkai & Diego Krapf, 2021. "Aging power spectrum of membrane protein transport and other subordinated random walks," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-26465-8
    DOI: 10.1038/s41467-021-26465-8
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    References listed on IDEAS

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    1. Michael F. Shlesinger, 2017. "Origins and applications of the Montroll-Weiss continuous time random walk," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(5), pages 1-5, May.
    2. Jaume Masoliver & Miquel Montero & George H. Weiss, 2002. "A continuous time random walk model for financial distributions," Papers cond-mat/0210513, arXiv.org.
    3. Nava Leibovich & Eli Barkai, 2017. "1∕ f β noise for scale-invariant processes: how long you wait matters," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(11), pages 1-8, November.
    4. Harvey Scher, 2017. "Continuous Time Random Walk (CTRW) put to work," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(12), pages 1-5, December.
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    Cited by:

    1. Eliazar, Iddo, 2023. "Spectral design of anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).

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