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.

STUDY DESIGN AND OBJECTIVE This study performs a meta-analysis to compare complication rates from vertebroplasty (VP) and kyphoplasty (KP). SUMMARY OF BACKGROUND DATA Recently, the development of VP and balloon KP has been shown to provide symptomatic relief and restoration of sagittal alignment of vertebral compression fractures refractory to medical therapy. Complications in treatment of ve...

This review discusses strategies to optimize brain penetration from the perspective of drug discovery and development. Brain penetration kinetics can be described by the extent and time to reach brain equilibrium. The extent is defined as the ratio of free brain concentration to free plasma concentration at steady state. For all central nervous system (CNS) drug discovery programs, optimization...