title: 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.
abstract: 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 DeltaV and a local environment, e.g. aqueous solution. For the molecule number N << 1 per DeltaV, there was only one molecule at a time inside DeltaV or no molecule. The mean rate k of re-entries defined by k = N/tau(dif) was independent of the geometry of DeltaV but depended on the size of DeltaV and the diffusive properties tau(dif). The length distribution l of single-molecule trajectories inside DeltaV and the measured photon count rates I obeyed power laws with anomalous exponent kappa =-1.32 approximately -4/3.
authors: Mathematics Department, German University in Cairo, Egypt.
authors: Gerd
authors: G
authors: Baumann
authors: Ignacy
authors: I
authors: Gryczynski
authors: Zeno
authors: Z
authors: Földes-Papp
mesh_terms: D003198:Computer Simulation; D005453:Fluorescence; D049449:Luminescence; D018613:Microscopy, Confocal / Q000379:methods*; D008856:Microscopy, Fluorescence / Q000379:methods*; D008962:Models, Theoretical; D009010:Monte Carlo Method; D055095:Optics and Photonics / Q000379:methods*; D017785:Photons; D012996:Solutions / Q000737:chemistry
chemical_list: D012996:Solutions