Unravelling intermittent features in single particle trajectories by a local convex hull method

Abstract

We propose a new model-free method to detect change points between distinct phases in a single random trajectory of an intermittent stochastic process. The local convex hull (LCH) is constructed for each trajectory point, while its geometric properties (e.g., the diameter or the volume) are used as discriminators between phases. The efficiency of the LCH method is validated for six models of intermittent motion, including Brownian motion with different diffusivities or drifts, fractional Brownian motion with different Hurst exponents, and surface-mediated diffusion. We discuss potential applications of the method for detection of active and passive phases in the intracellular transport, temporal trapping or binding of diffusing molecules, alternating bulk and surface diffusion, run and tumble (or search) phases in the motion of bacteria and foraging animals, and instantaneous firing rates in neurons.

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• Inferring pointwise diffusion properties of single trajectories with deep learning
• Modelling intermittent anomalous diffusion with switching fractional Brownian motion
• Mean perimeter and mean area of the convex hull over planar random walks
• Statistical analysis of random trajectories of vibrated disks: towards a macroscopic realization of Brownian motion
• Scattering fingerprints of two-state dynamics
• Large Deviations of Convex Hulls of Self-Avoiding Random Walks
• Convex Hulls of Random Walks in Higher Dimensions: A Large Deviation Study
• Glassy phases of the Gaussian Core Model
• Objective comparison of methods to decode anomalous diffusion
• Single-Trajectory Characterization of Active Swimmers in a Flow
• Large Deviations of Convex Hulls of the "True" Self-Avoiding Random Walk
• Large deviations in statistics of the convex hull of passive and active particles: A theoretical study
• Reconstruction of substrate's diffusion landscape by the wavelet analysis of single particle diffusion tracks
• Telomeres in Lamin-A Depleted Cells Exhibit Directed Motion and Dynamic Coherence