Helices in biomolecules

Helices in biomolecules.

Identical objects, regularly assembled, form a helix, which is the principal motif of nucleic acids, proteins, and viral capsids.

Generalization of general helices and slant helices

In this work, we use the formal definition of $k$-slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slant-slant helices} which a generalization of emph{general helices} and emph{slant helices}. Also, we present some characterizations theorems for $k$-slant helices and derived, in general form, the intrinsic equations for such curves. Thereafter, fr...

Generalized Helices and Singular Points

In this paper, we define X-slant helix in Euclidean 3-space and we obtain helix, slant helix, clad and g-clad helix as special case of the X-slant helix. Then we study Darboux, tangential darboux developable surfaces and their singular points. Especially we show that the striction lines of these surfaces are singular locus of the surfaces.

Finding -helices in skeletons

We consider a problem which is part of the process of determining the three-dimensional structure of a protein molecule using X-ray crystallography: given an estimated map of the electron density of the molecule as a function on three-dimensional space, we identify regions which are likely to belong to -helices. Our approach is to compute a new kind of skeleton the power shape and then identify...

Generating Helices in Nature