Plasma phosphorylated tau181 and neurodegeneration in Alzheimer's disease
ANNALS OF CLINICAL AND TRANSLATIONAL NEUROLOGY
Authors: Hansson, Oskar; Cullen, Nicholas; Zetterberg, Henrik; Blennow, Kaj; Mattsson-Carlgren, Niklas
Abstract
We examined if plasma phosphorylated tau is associated with neurodegeneration in Alzheimer's disease. We investigated 372 cognitively unimpaired participants, 554 mild cognitive impairment patients, and 141 Alzheimer's disease dementia patients. Tau phosphorylated at threonine 181, regional cortical thickness (using magnetic resonance imaging) and hypometabolism (using fluorodeoxyglucose positron emission tomography) were measured longitudinally. High plasma tau was associated with hypometabolism and cortical atrophy at baseline and over time, and longitudinally increased tau was associated with accelerated atrophy, but these associations were only observed in A beta-positive participants. Plasma phosphorylated tau may identify and track processes linked to neurodegeneration in Alzheimer's disease.
Antimagic orientations of graphs with large maximum degree
DISCRETE MATHEMATICS
Authors: Yang, Donglei; Carlson, Joshua; Owens, Andrew; Perry, K. E.; Singgih, Inne; Song, Zi-Xia; Zhang, Fangfang; Zhang, Xiaohong
Abstract
Given a digraph D with m arcs, a bijection tau : A(D) -> {1, 2, ... , m} is an antimagic labeling of D if no two vertices in D have the same vertex-sum, where the vertex -sum of a vertex u in D under tau is the sum of labels of all arcs entering u minus the sum of labels of all arcs leaving u. We say (D, tau) is an antimagic orientation of a graph G if D is an orientation of G and tau is an antimagic labeling of D. Motivated by the conjecture of Hartsfield and Ringel (1990) on antimagic labelings of graphs, Hefetz et al. (2010) initiated the study of antimagic orientations of graphs, and conjectured that every connected graph admits an antimagic orientation. This conjecture seems hard, and few related results are known. However, it has been verified to be true for regular graphs and biregular bipartite graphs. In this paper, we prove that every connected graph G on n >= 9 vertices with maximum degree at least n - 5 admits an antimagic orientation. (c) 2020 Elsevier B.V. All rights reserved.