Abstract Carayannis and Campbell (2009; 2010) have argued for using quadruple quintuple helices as models encompassing generalizing triple-helix dynamics. In the meantime, been adopted by European Committee Regions Commission metaphors further strategy development such in EU-programs Smart Specialization, Plan S, Open Innovation 2.0, etc. Here we argue that transition from a double helix to tri...

We study steady-state configurations of intrinsically-straight elastic filaments constrained within rod-shaped bacteria that have applied forces distributed along their length. Perfect steady-state helices result from axial or azimuthal forces applied at filament ends, however azimuthal forces are required for the small pitches observed for MreB filaments within bacteria. Helix-like configurati...

By using the Darboux frame |?, ?, ?| of a non-null curve lying on timelike surface in Minkowski 3-space, where ? is unit tangent vector curve, spacelike normal field restricted to and = ?? we define relatively normal-slant helices as curves satisfying condition that scalar product fixed spanning their axis non-constant constant. We give necessary sufficient conditions for be helices. consider s...

The category of finite cardinals (or, equivalently, of finite sets) is the symmetric analogue of the category of finite ordinals, and the ground category of a relevant category of presheaves, the augmented symmetric simplicial sets. We prove here that this ground category has characterisations similar to the classical ones for the category of finite ordinals, by the existence of a universal sym...

An algebraic classification of second order symmetric tensors in 5-dimensional Kaluza-Klein-type Lorentzian spaces is presented by using Jordan matrices. We show that the possible Segre types are [1, 1111], [2111], [311], [z z̄ 111], and the degeneracies thereof. A set of canonical forms for each Segre type is found. The possible continuous groups of symmetry for each canonical form are also stu...


 Proteomics is a multidisciplinary research area with proteins as the key element. One of main constituents architecture human body Transmembrane Protein an amino acid its individual unit at micro-level. These sequences yield structural information through machine learning algorithms and are critical for underlying diseases. We implemented Support Vector Machine on Data Bank (PDBTM) to ha...

Motivated by recent cold-atom experiments, we study the relaxation of spin helices in quantum XXZ chains. The experimentally observed follows scaling laws that are qualitatively different from linear-response transport. We construct a theory such helices, combining generalized hydrodynamics with diffusive corrections and form local density approximation. Although far equilibrium, our hydrodynam...

Atomic force microscopy and single-molecule force spectroscopy were combined to image and manipulate purple membrane patches from Halobacterium salinarum. Individual bacteriorhodopsin molecules were first localized and then extracted from the membrane; the remaining vacancies were imaged again. Anchoring forces between 100 and 200 piconewtons for the different helices were found. Upon extractio...