Results 121 to 130 of about 727,489 (238)

On the norms of metric projections

Journal of Approximation Theory, 1981
AbstractIt is shown that a Banach space is uniformly non-square if and only if the supremum of the norms of the metric projections onto proximinal subspaces is less than 2; it is also shown that a Banach space of dimension at least 3 is a Hilbert space if and only if the same supremum is equal to 1. Some examples are given of Banach spaces that contain
openaire   +1 more source

Extracellular vesicle lipidomics liquid biopsy reveals systemic and tumor microenvironment metabolic reprogramming in ovarian cancer

Molecular Oncology, EarlyView.
Extracellular vesicle (EV) lipidomic profiling of plasma and ascites from patients with high‐grade serous ovarian cancer and of ovarian cancer cell lines reveals enrichment of triglycerides (TGs), diacylglycerols (DGs), phosphatidylcholine (PCs), sphingomyelins (SMs), reflecting tumor metabolic reprogramming.
Shikha Rani, Dominic Guanzon, Andrew Lai, Katherin Scholz‐Romero, Sarah Reed, Edita Ritmejeryte, Rohan Lourie, Naven Chetty, Kaltin Ferguson, Carlos Salomon   +9 more
wiley   +1 more source

Predictive and prognostic biomarkers of Bacillus Calmette‐Guérin therapy failure in bladder cancer patients: A systematic review

Molecular Oncology, EarlyView.
High‐risk bladder cancer is typically treated with Bacillus Calmette‐Guérin (BCG), but 30–40% of patients relapse. No FDA‐ or CE‐approved biomarkers currently predict or prognosticate BCG failure. We systematically reviewed the literature and identified 72 eligible studies, revealing several promising biomarkers associated with BCG treatment response ...
Rui Ribeiro‐Pereira, Ana Teixeira‐Marques, Rui Freitas, João A Carvalho, Sara Monteiro‐Reis, Giorgio I. Russo, Rui Henrique, Carmen Jerónimo   +7 more
wiley   +1 more source

Frechet differentiability of the metric projection operator in Banach spaces

In this paper, we prove Frechet differentiability of the metric projection operator onto closed balls, closed and convex cylinders and positives cones in uniformly convex and uniformly smooth Banach spaces. With respect to these closed and convex subsets,
Li, Jinlu
core  

Regulation of the lncRNA NEAT1 by p53‐ΔNp63 crosstalk modulates the DNA damage response and therapeutic efficacy in HNSCC

Molecular Oncology, EarlyView.
In head and neck squamous cell carcinoma (HNSCC) p53 and p63 exert opposite roles on the transcription regulation of the lncRNA NEAT1. Under basal conditions, p53 levels are low and p63 represses NEAT1 expression. Upon genotoxic stress, p53 is rapidly induced, displacing p63 from the NEAT1 promoter leading to NEAT1 transcriptional activation and ...
Sara De Domenico, Veronica La Banca, Silvia D'Amico, Stefano Scalera, Sara Nicolai, Angelo Peschiaroli   +5 more
wiley   +1 more source

Examples of homogeneous manifolds with uniformly bounded metric projection [PDF]

, 2012
Let M be a finite von Neumann algebra with a faithful normal trace τ. Denote by Lp(M)sh the skew-Hermitian part of the non-commutative Lp space associated with (M, τ). Let 1 < p < ∞, z ∈ Lp(M)sh and S be a real closed subspace of Lp(M)sh.
Chiumiento, Eduardo Hernan
core  

Extracellular matrix remodeling and immune reprogramming drive residual tumor progression of liver cancer after incomplete microwave ablation

Molecular Oncology, EarlyView.
Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu, Yubei He, Nikolaus Berndt, Michael Mülleder, Kathrin Textoris‐Taube, Jing Guo, Matthias Stechele, Justus Ramtke, Shraga Nahum Goldberg, Lynn Jeanette Savic   +9 more
wiley   +1 more source

Unique circulating miRNAome signatures captured with distinct molecular states in Lynch syndrome and sporadic colorectal cancer

Molecular Oncology, EarlyView.
Circulating microRNA profiles distinguish nonmalignant Lynch syndrome from cancer‐associated Lynch syndrome, sporadic colorectal cancer, and healthy controls. Age‐stratified analysis reveals disease‐specific regulatory states, and a six‐miRNA panel shows concordant separation in an independent colorectal tissue cohort.
Ramadhani Salum Chambuso, Md Shohel Ul Islam, Rosa M Xicola, Raj Ramesar, Xavier Llor, Sinclair Steele   +5 more
wiley   +1 more source

Targeting the EpCAM‐AXL axis to overcome drug resistance in lung cancer

Molecular Oncology, EarlyView.
Lung cancer cells often evade therapy by hijacking signaling pathways. We reveal that cleaved EpCAM (sEpCAM) stabilizes the oncogenic protein AXL, driving NF‐κB and STAT3‐mediated chemoresistance. This EpCAM‐AXL axis identifies a high‐risk patient subset with poor prognosis.
Alexa Guerrero‐Alba, Mark Shacker, Timothy P. Fleming, Michael A. Smith, Ross M. Bremner, Narendra V. Sankpal   +5 more
wiley   +1 more source

The Existence of Maximum and Minimum Solutions to General Variational Inequalities in the Hilbert Lattices

Fixed Point Theory and Applications, 2011
We apply the variational characterization of the metric projection to prove some results about the solvability of general variational inequalities and the existence of maximum and minimum solutions to some general variational inequalities in the Hilbert
Yao Jen-Chih, Li Jinlu
doaj