Dipolar waves describe the structure and topology of helices in membrane proteins. The fit of sinusoids with the 3.6 residues per turn period of ideal alpha-helices to experimental measurements of dipolar couplings as a function of residue number makes it possible to simultaneously identify the residues in the helices, detect kinks or curvature in the helices, and determine the absolute rotatio...

In the paper, we first define a degenerate Pochhammer symbol by using gamma function and investigate its properties. By symbol, introduce hypergeometric function. We also Sumudu transform properties exponential Finally, give certain integral representations, derivative formulas, transforms, factional calculus applications, generating functions of

In this paper, we define slant helices in three dimensional Lie Groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations between slant helices and their involutes, spherical images.

PolyProline-II (PPII) helices are defined as a continuous stretch of a protein chain in which the constituent residues have backbone torsion angle (φ, ψ) values of (-75°, 145°) and take up an extended left handed helical conformation, without any intra-chain hydrogen bonds. They are found to occur quite frequently in protein structures, with their number exceeding that of π-helices, though it i...

MHC α-helices form the antigen-binding cleft and are of particular interest for immunological reactions. To monitor these helices in molecular dynamics simulations, we applied a parsimonious fragment-fitting method to trace the axes of the α-helices. Each resulting axis was fitted by polynomials in a least-squares sense and the curvature integral was computed. To find the appropriate polynomial...

Analysis of a database of structures of membrane proteins shows that membrane proteins composed of 10 or more transmembrane (TM) helices often contain buried helices that are inaccessible to phospholipids. We introduce a method for identifying TM helices that are least phospholipid accessible and for prediction of fully buried TM helices in membrane proteins from sequence information alone. Our...

Abstract In the quantitative, macro-oriented triple helix literature, synergy is measured indirectly, through patent data, firm data and other secondary statistical sources. These macro-level quantitative studies do not open up for understanding how different processes of cooperation create outcomes, in terms synergies. This article presents an alternative method measuring quantitatively networ...