an interactive application, modelface, was presented for modeller software based on windows platform. the application is able to run all steps of homology modeling including pdb to fasta generation, running clustal, model building and loop refinement. other modules of modeler including energy calculation, energy minimization and the ability to make single point mutations in the pdb structures a...

background : the aim of this study was to generate in silico 3d-structure of the envelope protein of ahfv using homology modeling method to further predict its conformational epitopes and help other studies to investigate its structural features using the model. methods : a 3d-structure prediction was developed for the envelope protein of alkhumra haemorrhagic fever virus (ahfv), an emerging ti...

The Euler characteristic is an invariant of a topological space that in precise sense captures its canonical notion size, akin to the cardinality set. closely related homology space, as it can be expressed alternating sum Betti numbers, whenever well-defined. Thus, one says categorifies characteristic. In his work on generalisation cardinality-like invariants, Leinster introduced magnitude metr...

In this paper, we introduce the annular instanton Floer homology which is defined for links in a thickened annulus. It an analogue of Khovanov homology. A spectral sequence whose second page and converges to constructed. As application sequence, prove that detects unlink annulus (assuming all components are null-homologous). Another new proof Grigsby Ni's result tangle distinguishes braids from...

Let G be an almost linear Nash group, namely, a group that admits homomorphism with finite kernel to some GLk(R). A homology theory (the Schwartz homology) is established for the category of smooth Fréchet representations moderate growth. Frobenius reciprocity and Shapiro's lemma are proved in this category. As application, we give criterion automatic extensions homologies sections tempered G-v...

It was recently proved by several authors that ribbon concordances induce injective maps in knot Floer homology, Khovanov and the Heegaard homology of branched double cover. We give a simple proof similar statement more general setting, which includes Khovanov–Rozansky homologies, all conic strong Khovanov–Floer theories. This gives philosophical answer to question aspects link TQFT make it und...

This paper investigates the relation between colored HOMFLY-PT and Kauffman homology, $${{\,\mathrm{SO}\,}}(N)$$ quantum 6j-symbols, (a, t)-deformed $$F_K$$ . First, we present a simple rule of grading change which allows us to obtain [r]-colored quadruply graded homology from $$[r^2]$$ -colored for thin knots. stems isomorphism representations $$(\mathfrak {so}_6,[r]) \cong (\mathfrak {sl}_4,[...

Abstract We construct and study some vertex theoretic invariants associated with Poisson varieties, specializing in the conformal weight $0$ case to familiar package of homology cohomology. In order do this conceptually, we sketch a version calculus , sense [12], adapted context algebras. obtain standard theorems (co)homology chiral context. This is part larger project related promoting noncomm...

In this paper we introduce the persistent magnitude, a new numerical invariant of (sufficiently nice) graded persistence modules. It is weighted and signed count bars module, in which bar form [a,b) degree d counted with weight (e−a−e−b) sign (−1)d. Persistent magnitude has good formal properties, such as additivity respect to exact sequences compatibility tensor products, interpretations terms...