Abstract
The mathematics of helices is important for understanding protein secondary and super-secondary structure, since every regular protein backbone structure can be considered as a helix. This paper presents a mathematical approach to helices using geometric algebra in the form of quaternions. The motivation is to make it more convienient to compute a solid-state NMR picture of the protein using orientational constraints. In terms of two parameters specifying a helix, formulas are given for the various helical parameters of interest in considering protein structure: residues per turn, pitch, radius and helix axis direction. Helices with period more than one residue are also considered, depending on more parameters and giving more complicated formulas. Applications to determining protein structure using solid-state NMR are considered.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
