ArticleJournal of the Royal Society, Interface2018
Langevin equation in complex media and anomalous diffusion.
Article in Journal of the Royal Society, Interface, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Learning the diffusion of nanoparticles in liquid phase TEM via physics-informed generative AI.Nature communications · 2025Article
- The Fokker-Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm.Royal Society open science · 2022Article
- An update on passive transport in and out of plant cells.Plant physiology · 2021Review
- Superstatistical modelling of protein diffusion dynamics in bacteria.Journal of the Royal Society, Interface · 2021Article
- Understanding biochemical processes in the presence of sub-diffusive behavior of biomolecules in solution and living cells.Biophysical reviews · 2019Review
- Subdiffusive Dynamics Lead to Depleted Particle Densities near Cellular Borders.Biophysical journal · 2019Article
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modelling approaches for the description of anomalous diffusion in biological systems, such as the very complex and heterogeneous cell environment. Nevertheless, many questions are still open, such as the joint manifestation of statistical features in agreement with different models that can also be somewhat alternative to each other, e.g. continuous time random walk and fractional Brownian motion. To overcome these limitations, we propose a stochastic diffusion model with additive noise and linear friction force (linear Langevin equation), thus involving the explicit modelling of velocity dynamics. The complexity of the medium is parametrized via a population of intensity parameters (relaxation time and diffusivity of velocity), thus introducing an additional randomness, in addition to white noise, in the particle's dynamics. We prove that, for proper distributions of these parameters, we can get both Gaussian anomalous diffusion, fractional diffusion and its generalizations.
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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.