Results 141 to 150 of about 473,820 (257)

Input Layer Regularization and Automated Regularization Hyperparameter Tuning for Myelin Water Estimation Using Deep Learning

NMR in Biomedicine, Volume 39, Issue 6, June 2026.
We propose a novel deep learning algorithm for predicting the myelin water fraction from multiple gradient‐echo or spin‐echo pulse sequences arising in magnetic resonance relaxometry (MRR) measurements of the human brain. Our method incorporates both regularized nonlinear least squares and pure deep learning through a concatenation paradigm known as ...
Mirage Modi, Shashank Sule, Jonathan Palumbo, Michael Rozowski, Griffin S. Hampton, Mustapha Bouhrara, Wojciech Czaja, Richard G. Spencer   +7 more
wiley   +1 more source

A General Framework for the Multiplicity of Positive Solutions to Higher-Order Caputo and Hadamard Fractional Functional Differential Coupled Laplacian Systems

Fractal and Fractional
This paper applies a general framework to explore the existence of multiple positive solutions for the fractional integral boundary value problem of high-order Caputo and Hadamard fractional coupled Laplacian systems with delayed or advanced arguments ...
Kaihong Zhao, Xiaoxia Zhao, Xiaojun Lv
doaj   +1 more source

Inverse problems for the fractional-Laplacian with lower order non-local perturbations

Transactions of the American Mathematical Society, 2021
Sombuddha Bhattacharyya, T. Ghosh, G. Uhlmann   +2 more
semanticscholar   +1 more source

Clinicopathological characteristics of patients with inoperable non‐small cell lung cancer harboring circulating NRF2 pathway mutations

The Journal of Pathology, Volume 269, Issue 2, Page 164-181, June 2026.
Abstract Lung cancer is the leading cause of global cancer‐related morbidity and mortality, with tobacco smoking as its strongest risk factor. Nuclear factor erythroid 2‐related factor 2 (NRF2) is a redox‐regulated transcription factor frequently dysregulated in non‐small cell lung cancer (NSCLC), leading to aggressive disease and resistance to therapy.
Jouni Härkönen, Satu Tiainen, Jouni Kujala, Linnea Muhonen, Ponnuswamy Mohanasundaram, Tuomas Tikkanen, Ina Pöhner, Tommi Patinen, Simone Adinolfi, Juha P Väyrynen, Päivi Auvinen, Arto Mannermaa, Petri Pölönen, Tuomas Rauramaa, Anna‐Liisa Levonen   +14 more
wiley   +1 more source

Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$

Electronic Journal of Qualitative Theory of Differential Equations
In the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional $p$-Laplacian equation in two cases which are $sp > N$ and $sp < N$.
Yuxin Chen, Haidong Liu
doaj   +1 more source

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa, Romulo Diaz Carlos, El‐Houari Hamza   +2 more
wiley   +1 more source

On Shape Optimization Theory With Fractional p-Laplacian Operators

Abstract and Applied Analysis
The focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall, Alassane Sy, Ibrahima Faye, Diaraf Seck   +3 more
doaj   +1 more source

Insights Into Bifenthrin Stereoisomers and Their Regulatory Implications

ChemistryOpen, Volume 15, Issue 5, May 2026.
Bifenthrin is a pyrethroid insecticide with two stereogenic centers, generating four stereoisomers with distinct physicochemical and electronic properties. A combined crystallographic and density functional theory study, supported by Hirshfeld surface, quantum theory of atoms in molecules, natural bond orbital, and reactivity descriptor analyses ...
Nayara C. M. Santos, Nayara D. Coutinho, Vitor S. Duarte, Anderson Catao, Antônio S. N. Aguiar, Lucas D. Dias, James O. Fajemiroye, Hamilton B. Napolitano   +7 more
wiley   +1 more source

Singular critical elliptic problems with fractional Laplacian

Electronic Journal of Differential Equations, 2015
In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
doaj  

A finite-volume scheme for fractional diffusion on bounded domains

European Journal of Applied Mathematics
We propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct prescription of no-flux boundary conditions.
Rafael Bailo, José A. Carrillo, Stefano Fronzoni, David Gómez-Castro   +3 more
doaj   +1 more source