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Related Concept Videos

Orthogonal Trajectories01:26

Orthogonal Trajectories

Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
Electron Microscope Tomography and Single-particle Reconstruction01:07

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Transmission electron microscopy (TEM) can be used to determine the 3D structure of biological samples with the help of techniques such as electron microscope tomography and single-particle reconstruction. While single-particle reconstruction can examine macromolecules and macromolecular complexes in vitro conditions only, tomography permits the study of cell components or small cells in vivo.
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Preparation and Observation of Thick Biological Samples by Scanning Transmission Electron Tomography
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The orthogonal tilt reconstruction method.

Andres Leschziner1

  • 1Department of Molecular and Cellular Biology, Harvard University, Cambridge, Massachusetts, USA.

Methods in Enzymology
|October 5, 2010
PubMed
Summary

Random Conical Tilt (RCT) and Orthogonal Tilt Reconstruction (OTR) are cryo-EM methods for modeling asymmetric molecules. OTR offers fully sampled structures, overcoming RCT

Area of Science:

  • Cryo-electron microscopy
  • Structural biology
  • Biophysics

Background:

  • Generating initial models for novel asymmetric molecules in cryo-electron microscopy (cryo-EM) is challenging.
  • Geometric reconstruction methods, like Random Conical Tilt (RCT), utilize tilted microscope views but suffer from incomplete Fourier space sampling.
  • Orthogonal Tilt Reconstruction (OTR) offers a solution for fully sampled structures.

Purpose of the Study:

  • To review and compare the performance of Random Conical Tilt (RCT) and Orthogonal Tilt Reconstruction (OTR) methods.
  • To discuss the practical implementation steps for Orthogonal Tilt Reconstruction (OTR).
  • To evaluate these geometric reconstruction techniques on a biological test sample.

Main Methods:

  • Data collection using Random Conical Tilt (RCT) with images at high tilt (~50°) and 0°.

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  • Data collection using Orthogonal Tilt Reconstruction (OTR) with images at -45° and +45° tilt.
  • Comparison of reconstruction quality and sampling completeness between RCT and OTR.
  • Main Results:

    • RCT provides reconstructions independent of sample orientation but yields incomplete Fourier space sampling.
    • OTR, when applied to samples with diverse orientations, achieves fully sampled structures.
    • Performance comparison on a biological sample highlights OTR's advantages in data completeness.

    Conclusions:

    • Orthogonal Tilt Reconstruction (OTR) is a valuable advancement over Random Conical Tilt (RCT) for achieving complete structural models in cryo-EM.
    • OTR's requirement for a large number of sample orientations is a key consideration for its application.
    • The study provides insights into the practical application and comparative performance of these geometric reconstruction techniques.