Immunotherapy-responsive autoimmune CNS syndromes linked to antibodies targeting surface neuronal antigens lack reliable biomarkers of disease activity. We report serial cerebral 18FDG PET studies in a woman with AMPA receptor (AMPA-R) autoimmune limbic encephalitis. During her follow-up, despite an aggressive immunotherapy, she displayed a persistent, predominantly left hippocampal FDG hypermetabolism, in the absence of CNS inflammatory signs. Brain metabolism abnormalities regressed after increasing antiepileptic treatment, correlating with a moderate clinical improvement.Brain 18F-FDG PET could thus represent a useful complementary tool to orient the clinical follow-up.
We prove a theorem characterizing Gaussian functions and we prove a strict superaddivity property of the Fisher Hollister Women Canada information. We use these results to determine the cases of equality in the logarithmic Sobolev inequality on Rn equipped with Lebesgue measure and with Gauss measure. We also prove a strengthened form of Gross's logarithmic Sobolev inequality with a “remainder term” added to the left Hollister Clothing Outlet Online
side. Finally we show that the strict form of Gross's inequality is a direct consequence of an inequality due to Blachman and Stam, and that this in turn is a direct consequence of strict superadditivity of the Fisher information.