BACKGROUND Vertebroplasty (VP) and kyphoplasty (KP) are routinely used to treat vertebral body compression fractures (VCFs) resulting from osteoporosis or vertebral body tumors in order to provide rapid pain relief. However, it remains debated whether VP or KP results in superior outcomes versus medical management alone in patients experiencing VCFs. PURPOSE To determine the level of evidence...

Analytic-bilinear approach is used to study continuous and discrete non-isospectral symmetries of the generalized KP hierarchy. It is shown that Möbius symmetry transformation for the singular manifold equation leads to continuous or discrete non-isospectral symmetry of the basic (scalar or multicomponent KP) hierarchy connected with binary Bäcklund transformation. A more general class of multi...

Predicate encryption is an advanced form of public-key encryption that yield high flexibility in terms of access control. In the literature, many predicate encryption schemes have been proposed such as fuzzy-IBE, KP-ABE, CP-ABE, (doubly) spatial encryption (DSE), and ABE for arithmetic span programs. In this paper, we study relations among them and show that some of them are in fact equivalent ...

Kisspeptins (KPs) are major regulators of trophoblast and cancer invasion. Thus far, limited and conflicting data are available on KP-mediated modulation of breast cancer (BC) metastasis; mostly based on synthetic KP-10, the most active fragment of KP. Here, we report for the first time comprehensive functional effects of term placental KPs on proliferation, adhesion, Matrigel invasion, motilit...

We study transverse stability and instability of one-dimensional small-amplitude periodic travelling waves a generalized Kadomtsev–Petviashvili equation with respect to two-dimensional perturbations, which are either or square-integrable in the direction propagation underlying wave direction. obtain results KP-fKdV, KP-ILW KP-Whitham equations. Moreover, assuming spectral we aforementioned

The Ramsey number R(G1; G2; : : : ; Gn) is the smallest integer p such that for any n-edge coloring (E1; E2; : : : ; En) of Kp; Kp[Ei] contains Gi for some i, Gi as a subgraph in Kp[Ei]. Let R(m1; m2; : : : ; mn):=R(Km1 ; Km2 ; : : : ; Kmn); R(m; n):=R(m1; m2; : : : ; mn) if mi=m for i=1; 2; : : : ; n. A formula is obtained for R(G1; G2; : : : ; Gn). c © 2001 Elsevier Science B.V. All rights re...

By starting from known graded Lie algebras, including Virasoro algebras, new kinds of time-dependent evolution equations are found possessing graded symmetry algebras. The modified KP equations are taken as an illustrative example: new modified KP equations with m arbitrary time-dependent coefficients are obtained possessing symmetries involving m arbitrary functions of time. A particular grade...

The quantization of a pair of commuting differential operators is a pair of non-commuting differential operators. Both at the classical and quantum level the flows of the KP hierarchy are defined and further one can consider switching, up to a sign, the ordering of the operators. We discuss the interaction of these operations with the quantization.