9,729 research outputs found

    Limit solutions of the Chern-Simons equation

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    We investigate the scalar Chern-Simons equation Δu+eu(eu1)=μ-\Delta u + e^u(e^u-1) = \mu in cases where there is no solution for a given nonnegative finite measure μ\mu. Approximating μ\mu by a sequence of nonnegative L1L^1 functions or finite measures for which this equation has a solution, we show that the sequence of solutions of the Dirichlet problem converges to the solution with largest possible datum \mu^# \le \mu and we derive an explicit formula of \mu^# in terms of μ\mu. The counterpart for the Chern-Simons system with datum (μ,ν)(\mu, \nu) behaves differently and the conclusion depends on how much the measures μ\mu and ν\nu charge singletons

    Idiopathic CD4+ T-lymphocytopenia with cryptococcal meningitis: first case report from Cambodia.

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    We report on a patient with cryptococcal meningitis with CD4+ T-lymphocytopenia and no evidence of HIV infection

    Redox stress defines the small artery vasculopathy of hypertension: how do we bridge the bench-to-bedside gap?

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    Although convincing experimental evidence demonstrates the importance of vascular reactive oxygen and nitrogen species (RONS), oxidative stress, and perturbed redox signaling as causative processes in the vasculopathy of hypertension, this has not translated to the clinic. We discuss this bench-to-bedside disparity and the urgency to progress vascular redox pathobiology from experimental models to patients by studying disease-relevant human tissues. It is only through such approaches that the unambiguous role of vascular redox stress will be defined so that mechanism-based therapies in a personalized and precise manner can be developed to prevent, slow, or reverse progression of small-vessel disorders and consequent hypertension
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