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 scalefree 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.

References in corpus (6)

• Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals
• Spectral content of a single non-Brownian trajectory
• The Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork
• Subordinated diffusion and CTRW asymptotics
• Sample-to-sample fluctuations of power spectrum of a random motion in a periodic Sinai model
• $1/f^{\beta }$ noise for scale-invariant processes: How long you wait matters

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• Population heterogeneity in the fractional master equation, ensemble self-reinforcement and strong memory effects
• $1/f$ noise from the sequence of nonoverlapping rectangular pulses
• $1/f$ noise in semiconductors arising from the heterogeneous detrapping process of individual charge carriers
• Frequency-frequency correlations of single-trajectory spectral densities of Gaussian processes
• Immediate recapture in the trapping-detrapping process of a single charge carrier
• Classification of anomalous diffusion in animal movement data using power spectral analysis
• Evaluating Gaussianity of heterogeneous fractional Brownian motion
• Two-dimensional fractional Brownian motion: Analysis in time and frequency domains
• Improved mean squared displacement analysis for anomalous single particle trajectories