Limited potential of electroencephalogram (EEG), magnetic resonance images (MRI) and cerebrospinal fluid (CSF) test for 14-3-3 protein in the clinical diagnosis of sporadic Creutzfeldt-Jakob disease (sCJD) resulted in developments in diagnostic premortem tehniques. Recent studies provided evidence that magnetic resonance spectroscopy (MRS) and measurement of total-tau (T-tau) and phospho-tau (P...

We prove that the extended Toda hierarchy of [1] admits nonabelian Lie algebra of infinitesimal symmetries isomorphic to the half of the Virasoro algebra. The generators Lm, m ≥ −1 of the Lie algebra act by linear differential operators onto the tau function of the hierarchy. We also prove that the tau function of a generic solution to the extended Toda hierarchy is annihilated by a combination...

We prove that the extended Toda hierarchy of [1] admits nonabelian Lie algebra of infinitesimal symmetries isomorphic to the half of the Virasoro algebra. The generators Lm, m ≥ −1 of the Lie algebra act by linear differential operators onto the tau function of the hierarchy. We also prove that the tau function of a generic solution to the extended Toda hierarchy is annihilated by a combination...