Journal
JOURNAL OF COMPUTATIONAL CHEMISTRY
Volume 33, Issue 21, Pages 1717-1729Publisher
WILEY-BLACKWELL
DOI: 10.1002/jcc.23002
Keywords
protein conformation; rotation; internal coordinate; modeling; geometric algebra; spinor; quaternion
Categories
Funding
- Ministerio de Educacion y Ciencia of Spain [BFU2009-09552]
- Human Frontier Science Program [RGP003912008]
Ask authors/readers for more resources
Spinor operators in geometric algebra (GA) can efficiently describe conformational changes of proteins by ordered products that act on individual bonds and represent their net rotations. Backward propagation through the protein backbone yields all rotational spinor axes in advance allowing the efficient computation of atomic coordinates from internal coordinates. The introduced mathematical framework enables to efficiently manipulate and generate protein conformations to any arbitrary degree. Moreover, several new formulations in the context of rigid body motions are added. Emphasis is placed on the intimate relationship between spinors and quaternions, which can be recovered from within the GA approach. The spinor methodology is implemented and tested versus the state of the art algorithms for both protein construction and coordinate updating. Spinor calculations have a smaller computational cost and turn out to be slightly faster than current alternatives. (c) 2012 Wiley Periodicals, Inc.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available