Results 51 to 60 of about 5,504,214 (282)

Solvability of an optimal control problem in coefficients for ill-posed elliptic boundary-value problems

open access: yesElectronic Journal of Differential Equations, 2014
We study an optimal control problem (OCP) associated to a linear elliptic equation $-\hbox{div}(A(x)\nabla y+C(x)\nabla y)=f$. The characteristic feature of this control object is the fact that the matrix $C(x)$ is skew-symmetric and belongs to $
Ciro D'Apice   +3 more
doaj  

Analysis and control of a nonlinear boundary value problem

open access: yesNonlinear Analysis, 2017
We consider a nonlinear two-dimensional boundary value problem which models the frictional contact of a bar with a rigid obstacle. The weak formulation of the problem is in the form of an elliptic variational inequality of the second kind.
Hadjer Hechaichi, Mircea Sofonea
doaj   +1 more source

Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer

open access: yesMolecular Oncology, EarlyView.
PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta   +10 more
wiley   +1 more source

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson   +9 more
wiley   +1 more source

Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities

open access: yesJournal of Applied Mathematics, 2012
We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality.
Muhammad Aslam Noor   +2 more
doaj   +1 more source

On the Convergence of Bregman ADMM With Variational Inequality

open access: yesIEEE Access, 2020
The alternating direction method of multipliers (ADMM) is one of most foundational algorithms for linear constrained composite minimization problems. For different specific problems, variations of ADMM (like linearized ADMM, proximal ADMM) are developed.
Peibing Du, Hao Jiang
doaj   +1 more source

On convergence of solutions to variational–hemivariational inequalities

open access: yesZeitschrift für Angewandte Mathematik und Physik, 2018
In this paper we investigate the convergence behavior of the solutions to the time-dependent variational–hemivariational inequalities with respect to the data.
Biao Zeng, Zhenhai Liu, S. Migórski
semanticscholar   +1 more source

Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer

open access: yesMolecular Oncology, EarlyView.
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley   +1 more source

Hands‐on protocol for preparing water‐soluble fractions from agri‐food samples for NMR‐based metabolomics analysis

open access: yesFEBS Open Bio, EarlyView.
This research protocol outlines a workflow for nuclear magnetic resonance (NMR)‐based metabolomics in the agri‐food sector. Using two case studies—strawberry leaves (solid matrix) and wine (liquid matrix)—it details the procedures for sample preparation, data acquisition, and processing.
Andrea Fernández‐Veloso   +4 more
wiley   +1 more source

A light‐triggered Time‐Resolved X‐ray Solution Scattering (TR‐XSS) workflow with application to protein conformational dynamics

open access: yesFEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei   +3 more
wiley   +1 more source

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