Quaternion-based definition of protein secondary structure straightness and its relationship to Ramachandran angles.

@article{Hanson2011QuaternionbasedDO,
  title={Quaternion-based definition of protein secondary structure straightness and its relationship to Ramachandran angles.},
  author={Robert M. Hanson and Daniel D Kohler and Steven G Braun},
  journal={Proteins},
  year={2011},
  volume={79 7},
  pages={
          2172-80
        }
}
We describe here definitions of "local helical axis" and "straightness" that are developed using a simple quaternion-based analysis of protein structure without resort to least-squares fitting. As part of this analysis, it is shown how quaternion differences can be visualized to depict accurately the local helical axis relating any two adjacent amino acid residues in standard, nonidealized proteins. Three different options for the definition of amino acid residue orientation in terms of… CONTINUE READING
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