background: hla-g is a major histocompatibility complex (mhc), class ib molecule that is selectively expressed at the fetal–maternal interface. it is thought to play a role in protecting the fetus from the maternal immune response. interestingly, the preimplantation embryo development (ped) gene product qa-2 is also a mouse mhc class ib protein that affects cleavage and division of preimplantat...

the wiener polarity index wp(g) of a molecular graph g of order n is the number ofunordered pairs of vertices u, v of g such that the distance d(u,v) between u and v is 3. in anearlier paper, some extremal properties of this graph invariant in the class of catacondensedhexagonal systems and fullerene graphs were investigated. in this paper, some new bounds forthis graph invariant are presented....

The vertex arboricity $rho(G)$ of a graph $G$ is the minimum number of subsets into which the vertex set $V(G)$ can be partitioned so that each subset induces an acyclic graph‎. ‎A graph $G$ is called list vertex $k$-arborable if for any set $L(v)$ of cardinality at least $k$ at each vertex $v$ of $G$‎, ‎one can choose a color for each $v$ from its list $L(v)$ so that the subgraph induced by ev...

In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...

root class Player extends Objectf bool brave; abstract bool wake() { } ; abstract Weapon kissed() {Player } ; g state class Frog extends Playerf Vocal pouch;bool wake() { } ; abstract Weapon kissed() {Player } ; g state class Frog extends Playerf Vocal pouch; bool wake() { } fpouch.blow() ; braveg Weapon kissed() {Player } fthis⇓Prince; sword:= new Weapong g state class Prince extends Playerf W...

It can be supposed that relation between HLA-G polymorphism and sHLA-G protein expression are associated with successful embryo implantation and pregnancy maintenance. The aim of the study was the estimation specific differences in expression of sHLA-G and sHLA- class I antigens in women with reproductive failure in comparison with fertile women. The study sample enrolled 80 women, divided into...

A model for interaction of class A G protein-coupled receptor with the G protein G subunit is proposed using the rhodopsin-transducin (RD/Gt) prototype. The model combines the resolved interactions/distances, essential in the active RD*/Gt system, with the structure of Gt C-terminal peptide bound to RD* while stabilizing it. Assuming the interactions involve conserved parts of the partners, the...

G protein-coupled receptors (GPCRs) have been found as monomers but also as dimers or higher-order oligomers in cells. The relevance of the monomeric or dimeric receptor state for G protein activation is currently under debate for class A rhodopsin-like GPCRs. Clarification of this issue requires the availability of well defined receptor preparations as monomers or dimers and an assessment of t...

We study the action of the mapping class group of an oriented genus g surface Sg,n with n punctures on a Poisson algebra which arises in the combinatorial description of Chern-Simons gauge theory on R × Sg,n when the gauge group is a semidirect product G ⋉ g . We prove that the mapping class group acts on this algebra via Poisson isomorphisms and express the action of Dehn twists in terms of an...

For a given simple graph G, S(G) is defined to be the set of real symmetric matrices A whose (i, j)th entry is nonzero whenever i 6= j and ij is an edge in G. In [2], ξ(G) is defined to be the maximum corank (i.e., nullity) among A ∈ S(G) having the Strong Arnold Property; ξ is used to study the minimum rank/maximum eigenvalue multiplicity problem for G. Since ξ is minor monotone, the graphs G ...