A recent report (Zhong, D., Xiong, L., Liu, T., Liu, X., Liu, X., Chen, J., Sun, S. Y., Khuri, F. R., Zong, Y., Zhou, Q., and Zhou, W. (2009) J. Biol. Chem. 284, 23225-23233) details that 2-deoxy-D-glucose (2-DG), a well known inhibitor of glycolysis and a candidate antineoplastic agent, also induces insulin-like growth factor 1 receptor (IGF-1R) signaling through the inhibition of insulin-like...

A. The von Mises Expansion Before diving into the auxiliary results of Section 5, let us first derive some properties of the von Mises expansion. It is a simple calculation to verify that the Gateaux derivative is simply the functional derivative of in the event that T (F ) = R (f). Lemma 8. Let T (F ) = R (f)dμ where f = dF/dμ is the Radon-Nikodym derivative, is differentiable and let G be som...

An example of a strong invariant of an admissible representation (by which I mean an invariant capable of splitting points in Ĝadm) is the distributional character of a representation. Let G be a reductive Lie group, (π,H) an irreducible admissible representation of G and HK is associated Harish-Chandra (g,K)-module, and let Θπ be its distributional character Θπ (f) ≡ TrH (∫ f (g)π (g) dg ) , ∀...

Let G be a graph with vertex set V(G) and edge E(G). A invariant for is number related to the structure of which under symmetry G. The Sombor reduced indices are two new invariants defined as SO(G)=∑uv∈E(G)dG(u)2+dG(v)2 SOred(G)=∑uv∈E(G)dG(u)−12+dG(v)−12, respectively, where dG(v) degree v in We denote by Hn,ν constructed from star Sn adding ν edge(s), 0≤ν≤n−2, between fixed pendent other verti...

Glucose metabolism is difficult to image with cellular resolution in mammalian brain tissue, particularly with (18) fluorodeoxy-D-glucose (FDG) positron emission tomography (PET). To this end, we explored the potential of synchrotron-based low-energy X-ray fluorescence (LEXRF) to image the stable isotope of fluorine (F) in phosphorylated FDG (DG-6P) at 1 μm(2) spatial resolution in 3-μm-thick b...

Let F be a number field with ring of adèles A and the set of places Σ. Fix a nontrivial character ψ : F\A → C×. Throughout the note, for a linear algebraic group G over F , we always use the Tamagawa measure dg on G(A). In particular, the volume of G(F )\G(A) is 1 if G is unipotent. Consider a reductive group G over F and a closed F -subgroup H. Denote A(G) the space of automorphic forms on G(A...

Given a graph G and integers p, q, d1 and d2, with p > q, d2 > d1 > 1, an L(d1, d2; p, q)-labeling of G is a function f : V (G) → {0, 1, 2, . . . , n} such that | f (u) − f (v)| > p if dG(u, v) 6 d1 and | f (u) − f (v)| > q if dG(u, v) 6 d2. A k-L(d1, d2; p, q)-labeling is an L(d1, d2; p, q)-labeling f such that maxv∈V (G) f (v) 6 k. The L(d1, d2; p, q)-labeling number of G, denoted by λ d1,d2(...