A hyperhelix of order N is de­ ned to be a self-similar object consisting of a thin elastic rod wound into a helix, which is itself wound into a larger helix, until this process has been repeated N times. Wave propagation on such a structure can be discussed in a hierarchical manner, ultimately in terms of the wavenumber k de­ ning propagation on the elementary rod. It is found that the dispers...

Inclined curves or so-called general helices are well-known curves in the classical differential geometry of space curves [9] and we refer to the reader for recent works on this type of curves [6, 12]. Recently, Izumiya and Takeuchi have introduced the concept of slant helix in Euclidean 3-space E saying that the normal lines makes a constant angle with a fixed direction [7]. They characterize ...

Motivated by a proposal to create an optical helix-shaped waveguides for cold atoms and molecules, we discuss local perturbations which can create bound states in such a setting. This is known about a local slowdown of the twist; we show that a similar effect can result from a local tube protrusion or a change of the helix radius in correlation with its pitch angle.

Zervamicin IIB (Zrv-IIB) is a channel-forming peptaibol antibiotic of fungal origin. The measured transhydrogen bond (3h)J(NC') couplings in methanol solution heaving average value of -0.41 Hz indicate that the stability of the Zrv-IIB helix in this milieu is comparable to the stability of helices in globular proteins. The N-terminus of the peptide forms an alpha-helix, whereas 3(10)-helical hy...

S100A1, a member of the S100 protein family, is an EF-hand containing Ca(2+)-binding protein (93 residues per subunit) with noncovalent interactions at its dimer interface. Each subunit of S100A1 has four alpha-helices and a small antiparallel beta-sheet consistent with two helix-loop-helix calcium-binding domains [Baldiserri et al. (1999) J. Biomol. NMR 14, 87-88]. In this study, the three-dim...

We present the results of an atomic level molecular dynamical simulation of a 5-base-pair fragment of double-helical DNA with inclusion of water and sodium counterions and a complete description of their electrostatic interactions. The shape of the double helix is preserved throughout the simulation, and the helix repeat is calculated to be 10.0, in reasonable agreement with experimental result...

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.

Solvent fluctuation (GTFE-TFE) of 2,2,2-trifluoroethanol (TFE)–H2O mixture was determined by small-angle X-ray scattering investigation. Protein’s coil–helix transition can be induced preferential binding TFE (ΔΓ23) without aggregation TFE.