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

Journal Article · · Nature Communications
ORCiD logo [1];  [2]; ORCiD logo [3]
  1. Colorado State Univ., Fort Collins, CO (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Bar-Ilan Univ., Ramat Gan (Israel)
  3. Colorado State Univ., Fort Collins, CO (United States); Colorado State Univ., Fort Collins, CO (United States)
+ Show Author Affiliations

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
Colorado State University; Israel Science Foundation; National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1828718
Report Number(s):
LA-UR-21-21176
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 12; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (60)

Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications journal November 1990
Single-Molecule Imaging of Na v 1.6 on the Surface of Hippocampal Neurons Reveals Somatic Nanoclusters journal September 2016
Fractal mobile/immobile solute transport: FRACTAL MOBILE-IMMOBILE SOLUTE TRANSPORT journal October 2003
Modeling non-Fickian transport in geological formations as a continuous time random walk journal January 2006
Robust single-particle tracking in live-cell time-lapse sequences journal July 2008
Low-frequency 1/f noise in graphene devices journal August 2013
The dynamics of single protein molecules is non-equilibrium and self-similar over thirteen decades in time journal November 2015
Non-specific interactions govern cytosolic diffusion of nanosized objects in mammalian cells journal July 2018
Ergodicity breaking on the neuronal surface emerges from random switching between diffusive states journal July 2017
Cholesterol modulates acetylcholine receptor diffusion by tuning confinement sojourns and nanocluster stability journal August 2018
Nonergodicity in nanoscale electrodes journal January 2013
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking journal January 2014
Brownian motion in a Maxwell fluid journal January 2011
From 1/f noise to multifractal cascades in heartbeat dynamics
  • Ivanov, Plamen Ch.; Nunes Amaral, Luı́s A.; Goldberger, Ary L.
  • Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 11, Issue 3 https://doi.org/10.1063/1.1395631
journal September 2001
Random Walks on Lattices. II journal February 1965
Subordinated diffusion and continuous time random walk asymptotics journal December 2010
Measurements and characterization of the dynamics of tracer particles in an actin network journal April 2021
Strange kinetics of single molecules in living cells journal August 2012
Strange interfacial molecular dynamics journal September 2019
Fractal dynamics in physiology: Alterations with disease and aging journal February 2002
Ergodic and nonergodic processes coexist in the plasma membrane as observed by single-molecule tracking journal April 2011
Intracellular transport of insulin granules is a subordinated random walk journal March 2013
A review of progress in single particle tracking: from methods to biophysical insights journal October 2015
1/f noise in computer network traffic journal June 1994
1/ f noise for intermittent quantum dots exhibits non-stationarity and critical exponents journal November 2014
Power spectral density of a single Brownian trajectory: what one can and cannot learn from it journal February 2018
Single-trajectory spectral analysis of scaled Brownian motion journal July 2019
Universal spectral features of different classes of random-diffusivity processes journal June 2020
1/ f α power spectrum in the Kardar–Parisi–Zhang universality class journal June 2017
First Steps in Random Walks: From Tools to Applications book August 2011
Time-dependent spectra of a three-level atom in the presence of electron shelving journal July 2018
Stochastic Transport in a Disordered Solid. I. Theory journal May 1973
Fractal renewal processes generate 1/ f noise journal February 1993
Lévy flights from a continuous-time process journal December 2000
Continuous-time random-walk model for financial distributions journal February 2003
Subdiffusion of mixed origins: When ergodicity and nonergodicity coexist journal January 2010
Sample-to-sample fluctuations of power spectrum of a random motion in a periodic Sinai model journal September 2016
Aging Wiener-Khinchin theorem and critical exponents of 1 / f β noise journal November 2016
1/ f noise in the intensity fluctuations of vertical-cavity surface-emitting lasers subject to parallel optical injection journal April 2018
Elucidating the Origin of Anomalous Diffusion in Crowded Fluids journal July 2009
Fractional Brownian Motion Versus the Continuous-Time Random Walk: A Simple Test for Subdiffusive Dynamics journal October 2009
Fluctuations of 1 / f Noise and the Low-Frequency Cutoff Paradox journal April 2013
Aging Wiener-Khinchin Theorem journal August 2015
Wiener-Khinchin Theorem for Nonstationary Scale-Invariant Processes journal August 2015
Intrinsic Pink-Noise Multidecadal Global Climate Dynamics Mode journal September 2018
Elucidating the Origin of Heterogeneous Anomalous Diffusion in the Cytoplasm of Mammalian Cells journal July 2020
Evolution of long-range fractal correlations and 1/ f noise in DNA base sequences journal June 1992
Nonergodicity of Blinking Nanocrystals and Other Lévy-Walk Processes journal March 2005
Weak Ergodicity Breaking in the Continuous-Time Random Walk journal June 2005
Displacement autocorrelation functions for strong anomalous diffusion: A scaling form, universal behavior, and corrections to scaling journal January 2021
Some noises withI/fspectrum, a bridge between direct current and white noise journal April 1967
The Anomalous Diffusion challenge: objective comparison of methods to decode anomalous diffusion conference September 2021
Protein Conformational Dynamics Probed by Single-Molecule Electron Transfer journal October 2003
Fractional Brownian Motions, Fractional Noises and Applications journal October 1968
Origins and applications of the Montroll-Weiss continuous time random walk journal May 2017
1∕ f β noise for scale-invariant processes: how long you wait matters journal November 2017
Continuous Time Random Walk (CTRW) put to work journal December 2017
THE INCREASING IMPORTANCE OF 1/f-NOISES AS MODELS OF ECOLOGICAL VARIABILITY journal June 2004
Self-Organized Criticality and Earthquakes journal June 1989
Data in: Aging power spectrum of membrane protein transport and other subordinated random walks dataset January 2021

Similar Records

Brownian Optimal Stopping and Random Walks
Journal Article · 2002 · Applied Mathematics and Optimization · OSTI ID:21067491
Study on correlated exponential random walks
Journal Article · 1986 · J. Stat. Phys.; (United States) · OSTI ID:6654042
Bifurcation dynamics of the tempered fractional Langevin equation
Journal Article · 2016 · Chaos (Woodbury, N. Y.) · OSTI ID:22596560

Related Subjects

59 BASIC BIOLOGICAL SCIENCES
Biological Science
Mathematics