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Based on classical mean-field approximation using the diffusion equation for ergodic normal motion of single 24-nm and 100-nm nanospheres, we simulated and measured molecule number counting in fluorescence fluctuation microscopy. The 3D-measurement set included a single molecule, or an ensemble average of single molecules, an observation volume ΔV and a local environment, e.g. aqueous solution. For the molecule number N ≪ 1 per ΔV, there was only one molecule at a time inside ΔV or no molecule. The mean rate k of re-entries defined by k = N / τdif was independent of the geometry of ΔV but depended on the size of ΔV and the diffusive properties τdif. The length distribution ℓ of single-molecule trajectories inside ΔV and the measured photon count rates I obeyed power laws with anomalous exponent κ =−1.32 ≈ −4/3. ©2010 Optical Society of America

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The thermodynamic Single-Molecule DEMON: How to avoid him in the measurements of dilute liquids and live cells without immobilization or flow: https://www.linkedin.com/pulse/thermodynamic-single-molecule-demon-zeno-földes-papp/?trk=public_profile_article_view

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This page is a summary of: Anomalous behavior in length distributions of 3D random Brownian walks and measured photon count rates within observation volumes of single-molecule trajectories in fluorescence fluctuation microscopy, Optics Express, August 2010, Optical Society of America (OSA), DOI: 10.1364/oe.18.017883.
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