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An In Vitro Single-Molecule Imaging Assay for the Analysis of Cap-Dependent Translation Kinetics
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Trajectory angle determination in one dimensional single molecule tracking data by orthogonal regression analysis.

Khanh Hoa Tran Ba1, Thomas A Everett, Takashi Ito

  • 1Department of Chemistry, Kansas State University, Manhattan, KS 66506-0401, USA.

Physical Chemistry Chemical Physics : PCCP
|January 12, 2011
PubMed
Summary
This summary is machine-generated.

Orthogonal regression analysis quantifies single molecule diffusion trajectories, revealing material order. This method accurately determines 1D trajectory orientation and differentiates mobile from immobile particles.

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Area of Science:

  • Materials Science
  • Physical Chemistry
  • Nanotechnology

Background:

  • Single particle tracking (SPT) is crucial for studying molecular diffusion.
  • Assessing the order and orientation of diffusion trajectories provides insights into material properties.
  • Existing methods for trajectory analysis can be limited in accuracy and scope.

Purpose of the Study:

  • To introduce and validate a novel orthogonal regression analysis for quantitative assessment of single molecule diffusion trajectories.
  • To demonstrate the method's applicability to one-dimensional (1D) diffusion and its ability to determine trajectory orientation.
  • To utilize this analysis for evaluating the order of mesoporous silica films.

Main Methods:

  • Development and application of orthogonal regression analysis for single molecule diffusion trajectories.
  • Analysis of trajectory angles and their distributions using histograms.
  • Calculation of an order parameter,

    = 2-1, to quantify mesopore order.

  • Wide-field fluorescence microscopy for probing diffusion in surfactant-templated mesoporous silica films.

Main Results:

  • Orthogonal regression analysis provides quantitative data on the in-plane orientation of 1D trajectories.
  • Histograms of trajectory angles reveal insights into trajectory alignment and material order.
  • The method effectively differentiates between 1D, 2D, and immobile trajectories.
  • Analysis of mesoporous silica films showed well-ordered domains (microns to tens of microns) with an order parameter

    ≈ 0.9, indicating ~14° average deviation from mean orientation.

Conclusions:

  • Orthogonal regression analysis is a simple, computationally efficient, and objective method for analyzing single molecule diffusion trajectories.
  • The technique offers new physical insights into materials order by quantifying trajectory alignment.
  • The study successfully demonstrated the utility of this method in assessing the structural order of mesoporous silica films.