Trajectory angle determination in one dimensional single molecule tracking data by orthogonal regression analysis

• DOI: 10.1039/c0cp01581d
• Publication Date: 2011-01-11T11:01:21Z
• Authors: Khanh Hoa Tran Ba; Thomas A. Everett; Takashi Ito; Daniel A. Higgins
• Keywords: Tracking (education); Particle tracking velocimetry

The quantitative assessment of single molecule diffusion trajectories by orthogonal regression analysis is reported. This broadly applicable to any particle tracking experiments in which along one dimension (1D) expected. It affords data on the (in plane) orientation 1D trajectories, allowing for their absolute orientations be determined. Histograms depicting distribution trajectory angles provide new physical insights into degree alignment, and inference, materials order. Estimates errors angle positioning each are also obtained. results compared those from single-step determinations. advantages method include its simplicity computational efficiency, ability objectively differentiate between 2D/immobile trajectories. Its utility demonstrated through surfactant-templated mesoporous silica films as probed wide-field fluorescence microscopy. histograms obtained mean alignment distinct populations sample regions. Mesopore order was quantitatively assessed implementation an parameter, 〈P〉 = 2〈cos2(Δθ)〉 − 1, calculated individual four representative depict presence well-ordered domains (from microns tens size), all having ≈ 0.9. latter corresponds ≈14° average deviation (and mesopore) domain.