ArticleBiophysical journal2010
Two-dimensional continuum percolation threshold for diffusing particles of nonzero radius.
Article in Biophysical journal, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 22 papers.
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22 citing papers in PubMed, 47 citations in OpenAlex.
- Quantitative Mapping of the Lipid Nanoenvironment around Transmembrane Proteins in Living Cells.ACS nano · 2026Article
- Simulation Studies of Dynamical Heterogeneity in a Dense Two-Dimensional Dimer-Solvent System with Obstacles.Entropy (Basel, Switzerland) · 2024Article
- Ultrafast single-molecule imaging reveals focal adhesion nano-architecture and molecular dynamics.The Journal of cell biology · 2023Article
- Adjusting the physico-chemical properties of collagen scaffolds to accommodate primary osteoblasts and endothelial cells.Regenerative biomaterials · 2023Article
- Diffusion of DNA-Binding Species in the Nucleus: A Transient Anomalous Subdiffusion Model.Biophysical journal · 2020Article
- Scale and structure dependent solute diffusivity within microporous tissue engineering scaffolds.Journal of materials science. Materials in medicine · 2020Article
- MicroCT analysis of connectivity in porous structures: optimizing data acquisition and analytical methods in the context of tissue engineering.Journal of the Royal Society, Interface · 2020Article
- Non-universality of the dynamic exponent in two-dimensional random media.Scientific reports · 2019Article
- Determination of the Membrane Environment of CD59 in Living Cells.Biomolecules · 2018Article
- Subdiffusion in Membrane Permeation of Small Molecules.Scientific reports · 2016Article
- Monte Carlo simulations of protein micropatterning in biomembranes: effects of immobile sticky obstacles.Journal of physics D: Applied physics · 2016Article
- Parameterizing the Transport Pathways for Cell Invasion in Complex Scaffold Architectures.Tissue engineering. Part C, Methods · 2016Article
- Protein Crowding within the Postsynaptic Density Can Impede the Escape of Membrane Proteins.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2016Article
- Cell Invasion in Collagen Scaffold Architectures Characterized by Percolation Theory.Advanced healthcare materials · 2015Article
- Effect of Ceramic Scaffold Architectural Parameters on Biological Response.Frontiers in bioengineering and biotechnology · 2015Review
- Wanted: scalable tracers for diffusion measurements.The journal of physical chemistry. B · 2014Review
- Wanted: a positive control for anomalous subdiffusion.Biophysical journal · 2012Review
- Single molecule fluorescence detection and tracking in mammalian cells: the state-of-the-art and future perspectives.International journal of molecular sciences · 2012Review
- From microscopy data to in silico environments for in vivo-oriented simulations.EURASIP journal on bioinformatics & systems biology · 2012Article
- Analytical tools to distinguish the effects of localization error, confinement, and medium elasticity on the velocity autocorrelation function.Biophysical journal · 2012Article
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1 author at 1 institution in 1 country.
Funding
Abstract
Lateral diffusion in the plasma membrane is obstructed by proteins bound to the cytoskeleton. The most important parameter describing obstructed diffusion is the percolation threshold. The thresholds are well known for point tracers, but for tracers of nonzero radius, the threshold depends on the excluded area, not just the obstacle concentration. Here thresholds are obtained for circular obstacles on the continuum. Random obstacle configurations are generated by Brownian dynamics or Monte Carlo methods, the obstacles are immobilized, and the percolation threshold is obtained by solving a bond percolation problem on the Voronoi diagram of the obstacles. The percolation threshold is expressed as the diameter of the largest tracer that can cross a set of immobile obstacles at a prescribed number density. For random overlapping obstacles, the results agree with the known analytical solution quantitatively. When the obstacles are soft disks with a 1/r(12) repulsion, the percolating diameter is approximately 20% lower than for overlapping obstacles. A percolation model predicts that the threshold is highly sensitive to the tracer radius. To our knowledge, such a strong dependence has so far not been reported for the plasma membrane, suggesting that percolation is not the factor controlling lateral diffusion. A definitive experiment is proposed.
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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.