β-Sheet modeling by helical surfaces

We present a topological description of a β-sheet in termsof a piece of helical surface. It requires only two easy-to-handle parameters: the twist, i.e. the turn of the helicalsurface per residue, and the coiling, which is a curvaturealong the strands or in the direction perpendicular to thestrands of the sheet. This method applies fairly well to three-and four-strand sheets, forming a too limited structure tobe able to build a barrel. From an analysis of β-sheetsderived from a structural database, we show that thispicture can even be reduced to the use of one main value,the twist angle. The dependence of β-sheet twisting on thenumber of strands in a sheet, and also on the lengthand direction of strands, has been demonstrated. Theapplications of such a description may include the rapidmodeling of 3D structures.

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