Results 81 to 90 of about 2,223 (301)
Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
wiley +1 more source
On the critical dimension of a fourth order elliptic problem with negative exponent
, 2010 We study the regularity of the extremal solution of the semilinear biharmonic equation βΔ2u−τΔu=λ(1−u)2 on a ball B⊂RN, under Navier boundary conditions u=Δu=0 on ∂B, where λ>0 is a parameter, while τ>0, β>0 are fixed constants.
Moradifam, Amir
core +1 more source
Extremal solution to generalized differential equations under integral boundary condition
, 2021 In this article, by utilizing the monotone iterative strategy coupled with the strategy of upper and lower solutions, we get the existence of extremal iteration solution to generalized differential equations under boundary conditions of type Riemann ...
Vivas Cortez, Miguel José
core +1 more source
Existence of convex and non convex local solutions for fractional differential inclusions
Electronic Journal of Differential Equations, 2009 In this paper, we establish the existence theorems for a class of fractional differential inclusion of order $n-1 < alpha leq n $. The study holds in two cases, when the set-valued function has convex and non-convex values.
Rabha W. Ibrahim
doaj
On an algorithm for the problem of tracking a trajectory of a parabolic equation
International Journal of Applied Mathematics and Computer Science, 2017 In this paper, we consider the problem of tracking a solution of a reference parabolic equation by a solution of another equation. A stable algorithm based on the extremal shift method is proposed for this problem.
Blizorukova Marina, Maksimov Vyacheslav
doaj +1 more source
Predictive Ability of Plasma p‐tau217 for β‐Amyloid Status: A Prospective Multicenter Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Plasma tau phosphorylated at threonine 217 (p‐tau217) measured with fully automated platforms has shown high accuracy for Alzheimer's disease (AD) diagnosis, but real‐world multicenter data remain limited. We aimed to validate the diagnostic performance of p‐tau217 for identifying AD pathology in a real‐world multicenter cohort ...
Miquel Massons +33 more
wiley +1 more source
Stable and periodic solutions to nonlinear equations with fractional diffusion
, 2016 The aim of this thesis is to study stable solutions to nonlinear elliptic equations involving the fractional Lapacian. More precisely, we study the extremal solution for the problem $(\Delta )^s u = \lambda f(u)$ in $\Omega$, $u \equiv 0 $ in $\R^n ...
Sanz Perela, Tomás
core +1 more source
Constructive Approximation volume / Pointwise Remez inequality
, 2021 The standard well-known Remez inequality gives an upper estimate of the values of polynomials on [−1,1] if they are bounded by 1 on a subset of [−1,1] of fixed Lebesgue measure. The extremal solution is given by the rescaled Chebyshev polynomials for one
Eichinger, B., Yuditskii, P.
core +1 more source
Movement Disorders in Aicardi–Goutières Syndrome and Response to Immunomodulation
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT This study characterizes movement disorders and treatment responses in seven children with Aicardi–Goutières syndrome (AGS). We retrospectively evaluated motor phenotypes, neuroimaging, and interferon signatures in patients treated with baricitinib or anifrolumab. Spasticity affected all patients, while dystonia was present in 4/7.
Enrique Gonzalez Saez‐Diez +10 more
wiley +1 more source
Compound Heterozygote Friedreich Ataxia Patients With Covert Proximal FXN Gene Deletions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT We present Friedreich ataxia patients with frataxin gene deletions. Data and records were collected at the Children's Hospital of Philadelphia from patients enrolled in the FACOMS natural history study. Patients with proximal deletions initially diagnosed with only one GAA expanded allele had more severe disease than their homozygous expansion
Michael P. Lazaropoulos +5 more
wiley +1 more source