Flexibility of $α$-helices: Results of a statistical analysis of database protein structures

dc.creatorEmberly, Eldon G.
dc.creatorMukhopadhyay, Ranjan
dc.creatorWingreen, Ned S.
dc.creatorTang, Chao
dc.date2002-09-25
dc.date.accessioned2026-07-07T02:47:26Z
dc.date.available2026-07-07T02:47:26Z
dc.description$α$-helices stand out as common and relatively invariant secondary structural elements of proteins. However, $α$-helices are not rigid bodies and their deformations can be significant in protein function ({\it e.g.} coiled coils). To quantify the flexibility of $α$-helices we have performed a structural principal-component analysis of helices of different lengths from a representative set of protein folds in the Protein Data Bank. We find three dominant modes of flexibility: two degenerate bend modes and one twist mode. The data are consistent with independent Gaussian distributions for each mode. The mode eigenvalues, which measure flexibility, follow simple scaling forms as a function of helix length. The dominant bend and twist modes and their harmonics are reproduced by a simple spring model, which incorporates hydrogen-bonding and excluded volume. As an application, we examine the amount of bend and twist in helices making up several coiled-coil proteins. Incorporation of $α$-helix flexibility into structure refinement and design is discussed.
dc.description13 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0209595
dc.identifierhttp://arxiv.org/abs/cond-mat/0209595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20010
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectBiomolecules
dc.titleFlexibility of $α$-helices: Results of a statistical analysis of database protein structures
dc.typetext

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