• 제목/요약/키워드: continuous wave

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SLC9A6-related developmental and epileptic encephalopathy with spike-and-wave activation in sleep: A case report

  • Hye Ri Bae;Young Ok Kim
    • Journal of Genetic Medicine
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    • 제19권2호
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    • pp.100-104
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    • 2022
  • The gene encoding solute carrier family 9 member 6 (SLC9A6) on Xq26.3 is associated with Christianson syndrome (CS) mimicking Angelman syndrome. In CS, developmental and epileptic encephalopathy (DEE) appears in about 20%, and DEE with spike-and-wave activation in sleep (SWAS) is reported only in several cases. A 10-year-old boy with DEE showed multidrug resistant focal seizures from 6 months of age. He had progressive microcephaly, regression, global developmental delay without speech, hyperkinesia, and truncal ataxia; he had a long thin face, esotropia, and happy demeanor. Brain magnetic resonance imaging demonstrated cerebellar atrophy. Electroencephalogram at 7.5 years of age showed nearly continuous diffuse paroxysms in slow wave sleep. The seizures were responsive to corticosteroids for a while. Trio whole exome sequencing exhibited a likely pathogenic variant of SLC9A6 in the proband and his asymptomatic mother: c.1194dup (p.Leu399AlafsTer12). This is a rare case report of CS with DEE-SWAS in a Korean patient.

ASYMPTOTIC BEHAVIOR FOR STRONGLY DAMPED WAVE EQUATIONS ON ℝ3 WITH MEMORY

  • Xuan-Quang Bui;Duong Toan Nguyen;Trong Luong Vu
    • 대한수학회지
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    • 제61권4호
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    • pp.797-836
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    • 2024
  • We consider the following strongly damped wave equation on ℝ3 with memory utt - αΔut - βΔu + λu - ∫0 κ'(s)∆u(t - s)ds + f(x, u) + g(x, ut) = h, where a quite general memory kernel and the nonlinearity f exhibit a critical growth. Existence, uniqueness and continuous dependence results are provided as well as the existence of regular global and exponential attractors of finite fractal dimension.