ArticlePloS one2015
Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments.
Article in PloS one, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 41 papers.
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Who cites it
41 citing papers in PubMed.
- Genetically inducible coordinators of cytokine signaling pathways for interrogating T cell motility.bioRxiv : the preprint server for biology · 2026Article
- Exploring how deep learning decodes anomalous diffusion via Grad-CAM.Nature communications · 2026Article
- Nanoscale architecture and dynamics of CaJournal of molecular and cellular cardiology plus · 2025Article
- Optimized Artificial Colonic Mucus Enabling Physiologically Relevant Diffusion Studies of Drugs, Particles, and Delivery Systems.Molecular pharmaceutics · 2025Article
- Membrane Charge Effects on Solute Transport in Nanofiltration: Experiments and Molecular Dynamics Simulations.Membranes · 2025Article
- Trajectory Analysis in Single-Particle Tracking: From Mean Squared Displacement to Machine Learning Approaches.International journal of molecular sciences · 2024Review
- 4D Single-particle tracking with asynchronous read-out single-photon avalanche diode array detector.Nature communications · 2024Article
- A Biophysics Toolbox for Reliable Data Acquisition and Processing in Integrated Force-Confocal Fluorescence Microscopy.ACS photonics · 2024Article
- Motility of an autonomous protein-based artificial motor that operates via a burnt-bridge principle.Nature communications · 2024Article
- Exploring Cellular Gateways: Unraveling the Secrets of Disordered Proteins within Live Nuclear Pores.Research square · 2024Article
- Inferring pointwise diffusion properties of single trajectories with deep learning.Biophysical journal · 2023Article
- Article
- Nucleotide binding halts diffusion of the eukaryotic replicative helicase during activation.Nature communications · 2023Article
- Palmitate-mediated disruption of the endoplasmic reticulum decreases intracellular vesicle motility.Biophysical journal · 2023Article
- Three-dimensional single particle tracking using 4π self-interference of temporally phase-shifted fluorescence.Light, science & applications · 2023Article
- Article
- Characterizing locus specific chromatin structure and dynamics with correlative conventional and super-resolution imaging in living cells.Nucleic acids research · 2022Article
- Quantifying cell-cycle-dependent chromatin dynamics during interphase by live 3D tracking.iScience · 2022Article
- Objective comparison of methods to decode anomalous diffusion.Nature communications · 2021Article
- In Vitro Investigation of Thiolated Chitosan Derivatives as Mucoadhesive Coating Materials for Solid Lipid Nanoparticles.Biomacromolecules · 2021Article
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Single particle tracking is an essential tool in the study of complex systems and biophysics and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the diffusive trajectories. However, past work has shown that MSDs are susceptible to significant errors and biases, preventing the comparison and assessment of experimental studies. Here, we attempt to extract practical guidelines for the estimation of anomalous time averaged MSDs through the simulation of multiple scenarios with fractional Brownian motion as a representative of a large class of fractional ergodic processes. We extract the precision and accuracy of the fitted MSD for various anomalous exponents and measurement errors with respect to measurement length and maximum time lags. Based on the calculated precision maps, we present guidelines to improve accuracy in single particle studies. Importantly, we find that in some experimental conditions, the time averaged MSD should not be used as an estimator.
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