Aging power spectrum of membrane protein transport and other subordinated random walks
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.
- Authors:
-
[1];
[3]
- Colorado State Univ., Fort Collins, CO (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Bar-Ilan Univ., Ramat Gan (Israel)
- Colorado State Univ., Fort Collins, CO (United States); Colorado State Univ., Fort Collins, CO (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF); Israel Science Foundation; Colorado State University
- OSTI Identifier:
- 1828718
- Report Number(s):
- LA-UR-21-21176
Journal ID: ISSN 2041-1723
- Grant/Contract Number:
- 89233218CNA000001; 2102832; 1898/17
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Communications
- Additional Journal Information:
- Journal Volume: 12; Journal Issue: 1; Journal ID: ISSN 2041-1723
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 59 BASIC BIOLOGICAL SCIENCES; Biological Science; Mathematics
Citation Formats
Fox, Zachary R., Barkai, Eli, and Krapf, Diego. Aging power spectrum of membrane protein transport and other subordinated random walks. United States: N. p., 2021.
Web. doi:10.1038/s41467-021-26465-8.
Fox, Zachary R., Barkai, Eli, & Krapf, Diego. Aging power spectrum of membrane protein transport and other subordinated random walks. United States. https://doi.org/10.1038/s41467-021-26465-8
Fox, Zachary R., Barkai, Eli, and Krapf, Diego. Mon .
"Aging power spectrum of membrane protein transport and other subordinated random walks". United States. https://doi.org/10.1038/s41467-021-26465-8. https://www.osti.gov/servlets/purl/1828718.
@article{osti_1828718,
title = {Aging power spectrum of membrane protein transport and other subordinated random walks},
author = {Fox, Zachary R. and Barkai, Eli and Krapf, Diego},
abstractNote = {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.},
doi = {10.1038/s41467-021-26465-8},
journal = {Nature Communications},
number = 1,
volume = 12,
place = {United States},
year = {2021},
month = {10}
}
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