Results 121 to 130 of about 592,249 (330)

Investigation of soliton solutions to the truncated M-fractional (3+1)-dimensional Gross-Pitaevskii equation with periodic potential

AIMS Mathematics
This research explores some modernistic soliton solutions to the (3+1)-dimensional periodic potential the Gross–Pitaevskii equation with a truncated M-fractional derivative plays a significant role in Bose–Einstein condensation, which describes the ...
Haitham Qawaqneh, Ali Altalbe, Ahmet Bekir, Kalim U. Tariq   +3 more
doaj   +1 more source

SNUPN‐Related Muscular Dystrophy: Novel Phenotypic, Pathological and Functional Protein Insights

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective SNUPN‐related muscular dystrophy or LGMDR29 is a new entity that covers from a congenital or childhood onset pure muscular dystrophy to more complex phenotypes combining neurodevelopmental features, cataracts, or spinocerebellar ataxia. So far, 12 different variants have been described.
Nuria Muelas, Pablo Iruzubieta, Alberto Damborenea, Laura Pérez‐Fernández, Inmaculada Azorín, Juan Carlos Jiménez García, Ana Töpf, Pilar Martí, Lorena Fores‐Toribio, María Manterola, Rosana Blanco‐Mañez, Oihane Pikatza‐Menoio, Sonia Alonso‐Martín, Volker Straub, Aitziber L. Cortajarena, Adolfo López de Munain, David De Sancho, Lorea Blázquez, Juan J. Vilchez   +18 more
wiley   +1 more source

Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition

Electronic Journal of Differential Equations, 2016
We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of
Nguyen Anh Dao
doaj  

Theoretical Prospects of the Solutions of Fractional Order Weakly Singular Volterra Integro Differential Equations and their Approximations with Convergence Analysis [PDF]

, 2020
Subrata Rana, Pratibhamoy Das
openalex   +1 more source

Deep Learning–Assisted Differentiation of Four Peripheral Neuropathies Using Corneal Confocal Microscopy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peripheral neuropathies contribute to patient disability but may be diagnosed late or missed altogether due to late referral, limitation of current diagnostic methods and lack of specialized testing facilities. To address this clinical gap, we developed NeuropathAI, an interpretable deep learning–based multiclass classification ...
Chaima Ben Rabah, Ioannis N. Petropoulos, Mark Stettner, Maryam Ferdousi, Uazman Alam, Nathan Efron, Ahmed Serag, Rayaz A. Malik   +7 more
wiley   +1 more source

Nonradial singular solutions for elliptic equations with exponential nonlinearity

Electronic Research Archive
For any $ R > 0 $, infinitely many nonradial singular solutions can be constructed for the following equation: $ \begin{equation} -\Delta u = e^u \;\;\; \mbox{in}\; B_R \backslash \{0\} , \;\;\;\;\;\;(0.1)\end{equation} $ where $ B_R = \{x \in
Jingyue Cao, Yunkang Shao , Fangshu Wan , Jiaqi Wang, Yifei Zhu   +4 more
doaj   +1 more source

Existence of a solution for a system related to the singularity for the 3D Zakharov system [PDF]

, 2001
Vincent Masselin
openalex   +1 more source

Refractory Status Epilepticus Treated With Bilateral Pulvinar Deep Brain Stimulation—A Case Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT New‐onset refractory status epilepticus (NORSE) arises without an identifiable cause or prior epilepsy history, with a 16%–27% mortality rate and significant long‐term neurological sequelae. Neuromodulation such as deep brain stimulation (DBS) targeting the anterior and centromedian thalamic nuclei has shown promise when the traditional ...
Mengxuan Tang, Amerta Bai, Felipe Rodridgues Marques Ferreira, Sandipan Pati, Thaddeus Walczak, Benjamin Miller, Oladi Bentho, Thomas Henry, Ilo Leppik, Minoo Shams, Zhiyi Sha, Zachary Sanger, Theoden I. Netoff, Thomas Lisko, Anant Naik, Robert McGovern III, Sima Patel   +16 more
wiley   +1 more source

Discovery and Targeted Proteomic Studies Reveal Striatal Markers Validated for Huntington's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Clinical trials for Huntington's disease (HD) enrolling persons before clinical motor diagnosis (CMD) lack validated biomarkers. This study aimed to conduct an unbiased discovery analysis and a targeted examination of proteomic biomarkers scrutinized by clinical validation. Methods Cerebrospinal fluid was obtained from PREDICT‐HD and
Daniel Chelsky, Cara Joyce, H. Jeremy Bockholt, Paul A. Rudnick, William H. Adams, Fiona McAllister, Justin W. Smock, Michael A. Newton, Jane S. Paulsen   +8 more
wiley   +1 more source

Asymptotic large time behavior of singular solutions of the fast diffusion equation [PDF]

, 2015
Kin Ming Hui, Soojung Kim
openalex   +1 more source