Results 61 to 70 of about 36,594 (305)

Shannon Entropy of Gray Matter Eigenmodes: A Novel Biomarker for Alzheimer's Disease and Heterogeneous MCI Trajectories

open access: yesAdvanced Science, EarlyView.
Entropy derived from gray matter eigenmodes captures cortical disorganization in Alzheimer's disease. Using multimodal MRI and amyloid‐PET data, this novel structure–function coupling biomarker enables accurate classification of clinical stages, predicts Aβ burden, and stratifies mild cognitive impairment subtypes.
Yumeng Li   +5 more
wiley   +1 more source

Rapid Arbitrary‐Shape Microscopy of Unsectioned Tissues for Precise Intraoperative Tumor Margin Assessment

open access: yesAdvanced Science, EarlyView.
This study presents a novel microscopic imaging system capable of rapid, section‐free scanning of irregular tissue surfaces, delivering high sensitivity for detecting cancer cell clusters during intraoperative tumor margin assessment. Abstract Rapid and accurate intraoperative examination of tumor margins is crucial for precise surgical treatment, yet ...
Zhicheng Shao   +17 more
wiley   +1 more source

Fully distributed consensus of nonlinear fractional multi‐agent systems based on combined event‐triggered mechanism

open access: yesMathematical Methods in the Applied Sciences, EarlyView., 2022
This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley   +1 more source

Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores

open access: yesElectronic Journal of Differential Equations, 2004
In this work we study the problem $$ -mathop{ m div}(| abla u|^{p-2} abla u)=lambda f(u) $$ in the unit ball of $mathbb{R}^N$, with $u=0$ on the boundary, where $p>2$, and $lambda$ is a real parameter. We assume that the nonlinearity $f$ has a zero $
Jorge Garcia-Melian
doaj  

Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equations with delay term and variadle exponents [PDF]

open access: gold, 2021
Stanilslav Antontsev   +3 more
openalex   +1 more source

Homological eigenvalues of graph p-Laplacians

open access: yesJournal of Topology and Analysis, 2023
Inspired by persistent homology in topological data analysis, we introduce the homological eigenvalues of the graph [Formula: see text]-Laplacian [Formula: see text], which allows us to analyze and classify non-variational eigenvalues. We show the stability of homological eigenvalues, and we prove that for any homological eigenvalue [Formula: see text]
openaire   +2 more sources

BRIGHT Enables High‐SNR Live‐Cell Imaging of Non‐Repetitive Sequences via Bivalent Fluorescent Nanobody‐Mediated Cascade‐Dependent Illumination

open access: yesAdvanced Science, EarlyView.
BRIGHT is a newly developed live‐cell imaging system that integrates cascade amplification with background denoising through the bivalent binding capability and antigen‐dependent stability of a bivalent fluorescent nanobody targeting ALFA peptides.
Lei Feng   +9 more
wiley   +1 more source

Strongly nonlinear elliptic problem without growth condition

open access: yesElectronic Journal of Differential Equations, 2002
We study a boundary-value problem for the $p$-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity.
Aomar Anane, Omar Chakrone
doaj  

Numerical analysis of parabolic p-Laplacian: Approximation of trajectories [PDF]

open access: yes, 2000
The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
core  

Sabatier‐Adjusted d‐Band Centers of Scalable Asymmetric Iron Sites toward Dynamic Nonradical Network for Fast Mineralization with Low‐Amount Oxidant

open access: yesAdvanced Science, EarlyView.
Asymmetric iron single‐atom catalysts with Sabatier‐adjusted d‐band centers overcome the inherent limitations of peroxymonosulfate (PMS) activation by establishing a synergistic nonradical pathway network, achieving exceptional pollutant mineralization (≈85%) at only one‐tenth conventional PMS dosage.
Yue Chen   +10 more
wiley   +1 more source

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