ArticleBiophysical journal1994
Anomalous diffusion due to obstacles: a Monte Carlo study.
Article in Biophysical journal, 1994. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 198 papers.
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Who cites it
198 citing papers in PubMed.
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- Physical effects of crowdant size and concentration on collective microtubule polymerization.Biophysical journal · 2025Article
- Anomalous Diffusion and Decay of Clusters of Dopants in Lanthanide-Doped Nanocrystals.Materials (Basel, Switzerland) · 2025Article
- Genome-wide analysis of the biophysical properties of chromatin and nuclear proteins in living cells with Hi-D.Nature protocols · 2025Review
- Fast-diffusing receptor collisions with slow-diffusing peptide ligand assemble the ternary parathyroid hormone-GPCR-arrestin complex.Nature communications · 2024Article
- Diffusion within the synaptonemal complex can account for signal transduction along meiotic chromosomes.Molecular biology of the cell · 2024Article
- Fascin-induced bundling protects actin filaments from disassembly by cofilin.The Journal of cell biology · 2024Article
- Contribution of different macromolecules to the diffusion of a 40 nm particle in Escherichia coli.Biophysical journal · 2024Article
- Experimentally Probing the Effect of Confinement Geometry on Lipid Diffusion.The journal of physical chemistry. B · 2024Article
- Colloidal transport phenomena in dynamic, pulsating porous materials.AIChE journal. American Institute of Chemical Engineers · 2023Article
- Simulation Study on the Mechanism of Intermediate Subdiffusion of Diffusive Particles in Crowded Systems.ACS omega · 2023Article
- Development of ultrafast camera-based single fluorescent-molecule imaging for cell biology.The Journal of cell biology · 2023Article
- Review
- Target search by an imported conjugative DNA element for a unique integration site along a bacterial chromosome during horizontal gene transfer.Nucleic acids research · 2023Article
- PI(4,5)P2 diffuses freely in the plasma membrane even within high-density effector protein complexes.The Journal of cell biology · 2023Article
- Molecular Dynamics Simulations of Rhodamine B Zwitterion Diffusion in Polyelectrolyte Solutions.The journal of physical chemistry. B · 2022Article
- Bayesian deep learning for error estimation in the analysis of anomalous diffusion.Nature communications · 2022Article
138 more citing papers are in PubMed but not listed here.
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1 author.
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Abstract
In normal lateral diffusion, the mean-square displacement of the diffusing species is proportional to time. But in disordered systems anomalous diffusion may occur, in which the mean-square displacement is proportional to some other power of time. In the presence of moderate concentrations of obstacles, diffusion is anomalous over short distances and normal over long distances. Monte Carlo calculations are used to characterize anomalous diffusion for obstacle concentrations between zero and the percolation threshold. As the obstacle concentration approaches the percolation threshold, diffusion becomes more anomalous over longer distances; the anomalous diffusion exponent and the crossover length both increase. The crossover length and time show whether anomalous diffusion can be observed in a given experiment.
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