Results 81 to 90 of about 5,501,393 (253)

Solvability of nonlocal boundary-value problems for the Laplace equation in the ball

Electronic Journal of Differential Equations, 2014
In this article, we consider a class of nonlocal problems for the Laplace equation with boundary operators of fractional order. We prove the existence, uniqueness and a representation of the solutions. Also it is shown that the smoothness of solutions
Makhmud A. Sadybekov, Batirkhan Kh. Turmetov, Berikbol T. Torebek   +2 more
doaj  

Thalamo‐Lesional Connectivity Signatures of Bilateral Tonic–Clonic Seizures in Focal Cortical Dysplasia‐Related Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie, Xiaotong Li, Venkata Sita Priyanka Illapani, Leigh N. Sepeta, Jason Schroeder, Chima O. Oluigbo, Madison M. Berl, William D. Gaillard, Nathan T. Cohen   +8 more
wiley   +1 more source

Remarks on the center and focus problem for planar systems

上海师范大学学报. 自然科学版, 2013
The center and focus problem is one of the main topics of the qualitative theory of ordinary differential equations.Systems in higher dimensional spaces can be reduced to systems in the plane with the help of the center manifold theorem.Therefore,it is ...
HAN Maoan
doaj  

Integration of Serum Neurofilament Light Chain and Cortical Dysfunction Improves Diagnostic Accuracy in ALS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether integration of serum neurofilament light chain (NfL) and cortical dysfunction improves diagnostic accuracy in amyotrophic lateral sclerosis (ALS) when applied alongside the Gold Coast criteria (GCC). Methods In this prospective study, 148 participants with suspected ALS were recruited (101 ALS and 47 with ALS ...
Aicee Dawn Calma, Nathan Pavey, Yukiko Tsuji, Amirul Ab Ghapar, Mehdi A.J. van den Bos, Bronwen Orden, Grace Lee, Linda Mekhael, Julie Ryder, Cláudia Santos Silva, David McDonald, Fakhria Kakar, Con Yiannikas, Matthew C. Kiernan, David A. Brown, Parvathi Menon, Steve Vucic   +16 more
wiley   +1 more source

An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms

Axioms
In this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
doaj   +1 more source

Integrated PANoptosis Profiling Identifies Immunosuppressive Subtypes and a Prognostic Signature With Functional Validation of MLKL in Glioblastoma

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The prognosis of glioblastoma (GBM) remains highly unfavorable, largely due to high tumor heterogeneity and an immunosuppressive microenvironment. However, the functional role of PANoptosis in this context is poorly understood. Methods Patients were stratified via K‐means clustering. A risk score model was constructed using prognosis‐
Langfei Tian, Minghui Zhao, Yuanbo Hu, Kaiyue Wang, Haiguang Liu, Zetong Bai, Kebin Zheng   +6 more
wiley   +1 more source

Harmonic mappings between surfaces : some local and global properties [PDF]

We develop some local and global properties of a harmonic map f :M -> N between surfaces. Our first main result is a local description of the possible singularities of such a harmonic map - we find there are four types: degeneracy, general fold ...
Wood, John C.
core  

Estimates for sums of logarithmic potentials associated with the Green function

Researches in Mathematics
This article presents a study on the analytical solution of the Dirichlet problem for the Laplace equation in two-dimensional space. The primary focus is on the Green's function, which is a key tool for solving such problems.
I. Denega, Ya. Zabolotnyi
doaj   +1 more source

Disease Course After Anti‐CD20 Discontinuation in Secondary Progressive Multiple Sclerosis—A Multicenter Long‐Term Longitudinal Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To describe long‐term outcomes after anti‐CD20 discontinuation in selected patients with secondary progressive multiple sclerosis (SPMS) who remained without subsequent disease‐modifying therapy (DMT). Methods We retrospectively analyzed data from four centers in Austria and Switzerland.
Ferdinand Otto, Dariia Kliushnikova, Richard Friedrich Radlberger, Sinan Yasaroglu, Tobias Moser, Andrea Harrer, Kitty Kratzer, Wolfgang Hitzl, Christiane Gradl, Martin Schmidauer, Patrick Roth, Harald Hegen, Peter Wipfler   +12 more
wiley   +1 more source

Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad, Pouya Metanat, Michael Thomas, Luke W. Bonham, Tyson Lam, Mehmet Kurt, Hong Nguyen, Tara Ellingson, Mauro Zucchelli, Stefano Casagranda, Quin Lu, Andreas M. Rauschecker, Leo Sugrue, Luis E. Savastano, Christopher P. Hess, Kamalini Ranasinghe, S. Andrew Josephson, Bruce L. Miller, Jennifer S. Yokoyama, Gil D. Rabinovici, Peter A. Ljubenkov, Lawren VandeVrede, Kambiz Nael   +22 more
wiley   +1 more source