57 research outputs found

    A supersolutions perspective on hypercontractivity

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    The purpose of this article is to expose an algebraic closure property of supersolutions to certain diffusion equations. This closure property quickly gives rise to a monotone quantity which generates a hypercontractivity inequality. Our abstract argument applies to a general Markov semigroup whose generator is a diffusion and satisfies a curvature condition.Comment: 7 page

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    Ganglion cyst arising from the infrapatellar fat pad in a child

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    A ganglion cyst is a cystic lesion containing myxoid matrix and lined by a pseudomembrane. A ganglion cyst arising from the infrapatellar fat pad is very rare, with only a few reports appearing in the literature, and the present case is the first report of this lesion in a child. A 10-year-old boy presented with right knee pain that showed no improvement despite resting from sports activity for 1 month. Magnetic resonance imaging revealed a multilobular mass between the infrapatellar fat pad and anterior cruciate ligament. Arthroscopic excision of the mass was performed. The mass was noted to arise from the infrapatellar fat pad and was filled with myxoid matrix. The histological diagnosis was a ganglion cyst. In active pediatric patients with pain or limited range of motion in the knee, physicians should consider the possibility of a ganglion cyst from the infrapatellar fat pad, despite its rarity

    Self-assembly of Ni-NTA-modified β-Annulus Peptides into Artificial Viral Capsids and Encapsulation of His-tagged Proteins

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    β-Annulus peptide bearing Cys at the N-terminal from tomato bushy stunt virus was synthesised using a standard Fmoc-protected solid-phase method, and the petide was modified with Ni-NTA at the N-terminal. The Ni-NTA-modified β-annulus peptide self-assembled into virus-like nanocapsules of approximately 40 nm in diameter. The critical aggregation concentration of these nanocapsules in 10 mM Tris-HCl buffer (pH 7.3) at 25°C was 0.053 μM, which is 470 times lower than that of unmodified β-annulus peptides. Moreover, size exclusion chromatography of the peptide assembly indicated encapsulation of His-tagged green fluorescent protein in the Ni-NTA-modified artificial viral capsid
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