Protein kinase C ε (PKC ε ) signals through RhoA to modulate cell invasion and motility. In this study, the multifaceted interaction between PKC ε and RhoA was defined. Phosphopeptide mapping revealed that PKC ε phosphorylates RhoA at T127 and S188. Recombinant PKC ε bound to recombinant RhoA in the absence of ATP indicating that the association between PKC ε and RhoA does not require an active...

Abstract. This paper is concerned with a biharmonic equation under the Navier boundary condition (P∓ε) : ∆u = u n+4 n−4 , u > 0 in Ω and u = ∆u = 0 on ∂Ω, where Ω is a smooth bounded domain in R, n ≥ 5, and ε > 0. We study the asymptotic behavior of solutions of (P−ε) which are minimizing for the Sobolev quotient as ε goes to zero. We show that such solutions concentrate around a point x0 ∈ Ω a...

We show that every n-point tree metric admits a (1 + ε)-embedding into ` C(ε) logn 1 , for every ε > 0, where C(ε) ≤ O ( ( 1ε ) 4 log 1ε ) ) . This matches the natural volume lower bound up to a factor depending only on ε. Previously, it was unknown whether even complete binary trees on n nodes could be embedded in ` O(logn) 1 with O(1) distortion. For complete d-ary trees, our construction ach...

We consider a Gaussian diffusion Xt (Ornstein-Uhlenbeck process) with drift coefficient γ and diffusion coefficient σ, and an approximating process Y ε t converging to Xt in L2 as ε → 0. We study estimators γ̂ε, σ̂ ε which are asymptotically equivalent to the Maximum likelihood estimators of γ and σ, respectively. We assume that the estimators are based on the available N = N(ε) observations extr...

We are interested in (ε)-regular bipartite graphs which are the central objects in the regularity lemma of Szemerédi for sparse graphs. A bipartite graph G = (A]B,E) with density p = |E|/(|A||B|) is (ε)-regular if for all sets A′ ⊆ A and B′ ⊆ B of size |A′| ≥ ε|A| and |B ′| ≥ ε|B|, it holds that |eG(A, B′)/(|A′||B′|) − p| ≤ εp. In this paper we prove a characterization for (ε)-regularity. That ...

Let X be a normed linear space, x ∈ X an element of norm one, and ε > 0 and δ(x,ε) the local modulus of convexity of X . We denote by ρ(x,ε) the greatest ρ≥ 0 such that for each closed linear subspace M of X the quotient mapping Q : X → X/M maps the open ε-neighbourhood of x in U onto a set containing the open ρ-neighbourhood of Q(x) in Q(U). It is known that ρ(x,ε) ≥ (2/3)δ(x,ε). We prove that...

The Casimir energy of a dilute dielectric cylinder, with the same light-velocity as in its surrounding medium, is evaluated exactly to first order in ξ 2 = ε 1 − ε 2 ε 1 + ε 2 2 (where ε 1 , ε 2 are the dielectric constants of the cylinder and of its environment), and numerically to higher orders in ξ 2. The first part is carried out using addition formulas for Bessel functions, and no Debye ex...

The direct CP violation parameter Re(ε′/ε) has been measured from the decay rates of neutral kaons into two pions using the NA48 detector at the CERN SPS. With 3.3 million KL → ππ events collected during the 1998 and 1999 running periods, a result of Re(ε′/ε) = (15.0 ± 2.7)×10−4 has been obtained. The result combined with the published 1997 sample is Re(ε′/ε) = (15.3± 2.6)×10−4.

We analyze the CP violating ratio ε/ε in the Standard Model in view of the new KTeV results. We review the present status of the most important non-perturbative parameters B (1/2) 6 , B (3/2) 8 , B̂K and of the strange quark mass ms. We also briefly discuss the issues of final state interactions and renormalization scheme dependence. Updating the values of the CKM parameters, of mt and Λ (4) MS ...