375 research outputs found

    Granular Cell Myoblastoma of the Larynx

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    Granuloma cell myoblastoma ofthe larynx is a relatively uncommon tumor. A review of the literature reveals only 52 cases reported. The lesion is a benign growth which is often asymptomatic, though most commonly associated with hoarseness. The treatment of choice is local surgical excision. Four successfully treated cases are reported. All four patients are Negro — three females and one male

    Hospitalization of Children with Down Syndrome

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    INTRODUCTION: Children with Down syndrome present with multiple medical problems in a higher prevalence compared with the general population, which may lead to hospitalizations. METHODS: Analysis of 560 hospitalizations of 162 children aged 0-16 years with Down syndrome at Hadassah Medical Center during the years 1988-2007 compared with data on children in the general population, hospitalized at the same period. Data was collected from patient files and statistical data from the Ministry of Health. RESULTS: Respiratory infections were the leading cause for hospitalization of children with Down syndrome. The number of hospitalizations of children with Down syndrome compared to the number of all children, who were hospitalized was surprisingly similar to their proportion in the general population. Eleven children died during their hospitalization (five heart failure, three sepsis, one respiratory tract infection, and one due to complication after surgery). Nine of the 11 had a congenital heart anomaly. CONCLUSION: Children with Down syndrome can present with complex medical issues and we support the concept of a multidisciplinary team that has experience and knowledge to serve as a one stop shop for these individuals and their families, with timely visits in which a comprehensive evaluation is performed, problems attended to and prevention plans applied. In this way, we may prevent morbidity, hospitalizations, and mortality

    Universality of low-energy scattering in (2+1) dimensions

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    We prove that, in (2+1) dimensions, the S-wave phase shift, ÎŽ0(k) \delta_0(k), k being the c.m. momentum, vanishes as either ÎŽ0→cln⁥(k/m)orÎŽ0→O(k2)\delta_0 \to {c\over \ln (k/m)} or \delta_0 \to O(k^2) as k→0k\to 0. The constant cc is universal and c=π/2c=\pi/2. This result is established first in the framework of the Schr\"odinger equation for a large class of potentials, second for a massive field theory from proved analyticity and unitarity, and, finally, we look at perturbation theory in ϕ34\phi_3^4 and study its relation to our non-perturbative result. The remarkable fact here is that in n-th order the perturbative amplitude diverges like (ln⁥k)n(\ln k)^n as k→0k\to 0, while the full amplitude vanishes as (ln⁥k)−1(\ln k)^{-1}. We show how these two facts can be reconciled.Comment: 23 pages, Late

    Asymptotic Fourier Coefficients for a C ∞ Bell (Smoothed-“Top-Hat”) & the Fourier Extension Problem

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    In constructing local Fourier bases and in solving differential equations with nonperiodic solutions through Fourier spectral algorithms, it is necessary to solve the Fourier Extension Problem. This is the task of extending a nonperiodic function, defined on an interval , to a function which is periodic on the larger interval . We derive the asymptotic Fourier coefficients for an infinitely differentiable function which is one on an interval , identically zero for , and varies smoothly in between. Such smoothed “top-hat” functions are “bells” in wavelet theory. Our bell is (for x ≄ 0) where where . By applying steepest descents to approximate the coefficient integrals in the limit of large degree j , we show that when the width L is fixed, the Fourier cosine coefficients a j of on are proportional to where Λ( j ) is an oscillatory factor of degree given in the text. We also show that to minimize error in a Fourier series truncated after the N th term, the width should be chosen to increase with N as . We derive similar asymptotics for the function f ( x )= x as extended by a more sophisticated scheme with overlapping bells; this gives an even faster rate of Fourier convergencePeer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43417/1/10915_2005_Article_9010.pd
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