This paper develops and implements a new algorithm for calculating wave trace invariants of a bounded plane domain around a periodic billiard orbit. The algorithm is based on a new expression for the localized wave trace as a special multiple oscillatory integral over the boundary, and on a Feynman diagrammatic analysis of the stationary phase expansion of the oscillatory integral. The algorith...

PURPOSE Pomegranate fruit, Punica granatum L. (Punicaceae), and its constituents have been shown to inhibit inflammation. In this study, we aimed to assess the effects of freeze-dried pomegranate (PWE) on PGE2 production in IL-1β-stimulated SK-N-SH cells. METHODS An enzyme immunoassay (EIA) was used to measure prostaglandin E2 (PGE2) production from supernatants of IL-1β-stimulated SK-N-SH ce...

BACKGROUND AND PURPOSE People with epilepsy (PWE) are more likely to experience suicidality, with suicidal ideation and attempts, than people without epilepsy (PWoE). The aims of the present study were to determine 1) the characteristics of suicidality in Korean PWE, 2) whether PWE with suicidality receive psychiatric intervention, and 3) the risk factors for suicidality. METHODS Patients who...

PURPOSE Among the 50 million people with epilepsy (PWE) worldwide ∼15 to 60% likely also suffer from depression and/or anxiety and 80% reside in low-income regions where human and technological resources for care are extremely limited. METHODS In Zambia, we carried out a retrospective chart review of 200 randomly selected files of PWE using a structured abstraction form to systematically coll...

We present a powerful sensitivity analysis method for devices in a photonic crystal. The method is based on a Wannier basis field expansion and efficient matrix analysis techniques for finding eigenvalue and transmission gradients with respect to the perturbation. The method permits fast analysis of a large number of dielectric perturbation situations for multiple devices in a photonic crystal....

We prove that the expansion in powers of the temperature T of the correlation functions and the free energy of the plane rotator model on a d-dimensional lattice is asymptotic to all orders in T. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at lo...

The solution to the problem of optical or electromagnetic-wave scattering from perfectly conducting rough surfaces modeled by a multiscale fractal function is generalized to the case of relative uniform translating motion with respect to the observer. The presence of motion can be treated by the relativistic frame hopping method by means of plane-wave simplification techniques, since the soluti...