Results 91 to 100 of about 2,667,437 (304)
Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito +14 more
wiley +1 more source
The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds
Journal of MathematicsIn this paper, first we prove a nonexistence theorem for α-harmonic mappings between Riemannian manifolds. Second, the instability of nonconstant α-harmonic maps is studied with regard to the Ricci curvature criterion of their codomain. Then, we estimate
Amir Shahnavaz +2 more
doaj +1 more source
On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps. [PDF]
J Geom Anal, 2021 Branding V.
europepmc +1 more source
Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende +26 more
wiley +1 more source
Evidence of Iron Accumulation in Cerebral Adrenoleukodystrophy: A Potential Novel Disease Mechanism
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT In this first application of Quantitative Susceptibility Mapping Source Separation to cerebral adrenoleukodystrophy, we uncovered alterations in iron and myelin within lesions and normal appearing white matter. As validation, we demonstrate abnormal iron accumulation in those same compartments within primary brain tissue.
Christina L. Nemeth +8 more
wiley +1 more source
An epsilon-regularity result for generalized harmonic maps into spheres
Electronic Journal of Differential Equations, 2003 For $m,n ge 2$ and $1 < p < 2$, we prove that a map $u in W_mathrm{loc}^{1,p}(Omega,mathbb{S}^{n - 1})$ from an open domain $Omega subset mathbb{R}^m$ into the unit $(n - 1)$-sphere, which solves a generalized version of the harmonic map equation, is ...
Roger Moser
doaj
Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil4
MathematicsThis study considers a left-invariant Riemannian metric g on the Lie group Nil4. We introduce a Ricci solitons’ classification on (Nil4,g). These are expansive non-gradient Ricci solitons.
Yanlin Li +2 more
doaj +1 more source
Construction of Planar Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2007 Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri +2 more
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.Epigenetic reprogramming in hematopoietic stem and progenitor cells (HSPCs) and downstream myeloid cells, mediated by H3.3 downregulation and endogenous retroelement (ERE) overexpression, contributes to the progression of multiple sclerosis (MS). ABSTRACT Background Skewed myelopoiesis in the bone marrow has been identified as a key driver of multiple ...
Li‐Mei Xiao +6 more
wiley +1 more source
On the Structure of ∞-Harmonic Maps
, 2014 Let H ∈ C 2(ℝ N×n ), H ≥ 0. The PDE system arises as the Euler-Lagrange PDE of vectorial variational problems for the functional E ∞(u, Ω) = ‖H(Du)‖ L ∞(Ω) defined on maps u: Ω ⊆ ℝ n → ℝ N . (1) first appeared in the author's recent work. The scalar case
Nikos Katzourakis
semanticscholar +1 more source