ArticleScientific reports2021
From diffusion in compartmentalized media to non-Gaussian random walks.
Article in Scientific reports, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed.
- Transnasal spread of bupivacaine into the pterygopalatine fossa following endoscopically assisted cotton swab placement: a cadaveric study.Regional anesthesia and pain medicine · 2026Article
- Optimized Detection of Left Ventricular Hyperpolarized [1-Magnetic resonance in medicine · 2026Article
- Unconventionally fast transport through sliding dynamics of rodlike particles in macromolecular networks.Nature communications · 2024Article
- Revealing gene regulation-based neural network computing in bacteria.Biophysical reports · 2023Article
- Vast heterogeneity in cytoplasmic diffusion rates revealed by nanorheology and Doppelgänger simulations.Biophysical journal · 2023Article
- Postmortem changes in brain cell structure: a review.Free neuropathology · 2023Article
- Transport in the Brain Extracellular Space: Diffusion, but Which Kind?International journal of molecular sciences · 2022Review
- A Novel Physical Mechanism to Model Brownian Yet Non-Gaussian Diffusion: Theory and Application.Materials (Basel, Switzerland) · 2022Article
- Apparent anomalous diffusion and non-Gaussian distributions in a simple mobile-immobile transport model with Poissonian switching.Journal of the Royal Society, Interface · 2022Article
- Detecting Transient Trapping from a Single Trajectory: A Structural Approach.Entropy (Basel, Switzerland) · 2021Article
- Look at Tempered Subdiffusion in a Conjugate Map: Desire for the Confinement.Entropy (Basel, Switzerland) · 2020Article
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Authors and funding
2 authors.
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Abstract
In this work we establish a link between two different phenomena that were studied in a large and growing number of biological, composite and soft media: the diffusion in compartmentalized environment and the non-Gaussian diffusion that exhibits linear or power-law growth of the mean square displacement joined by the exponential shape of the positional probability density. We explore a microscopic model that gives rise to transient confinement, similar to the one observed for hop-diffusion on top of a cellular membrane. The compartmentalization of the media is achieved by introducing randomly placed, identical barriers. Using this model of a heterogeneous medium we derive a general class of random walks with simple jump rules that are dictated by the geometry of the compartments. Exponential decay of positional probability density is observed and we also quantify the significant decrease of the long time diffusion constant. Our results suggest that the observed exponential decay is a general feature of the transient regime in compartmentalized media.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.