Results 91 to 100 of about 887,414 (331)

Weighted Spaces of Holomorphic Functions on Banach Spaces and the Approximation Property

Extracta Mathematicae, 2016
In this paper, we study the linearization theorem for the weighted space Hw(U ; F ) of holomorphic functions defined on an open subset U of a Banach space E with values in a Banach space F.
Manjul Gupta, Deepika Baweja
doaj  

Detecting homologous recombination deficiency for breast cancer through integrative analysis of genomic data

Molecular Oncology, EarlyView.
This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu, Katherine Eason, Suet‐Feung Chin, Paul A. W. Edwards, Raquel Manzano Garcia, Richard Moulange, Jia Wern Pan, Soo Hwang Teo, Sach Mukherjee, Maurizio Callari, Carlos Caldas, Stephen‐John Sammut, Oscar M. Rueda   +12 more
wiley   +1 more source

Landscape of BRAF transcript variants in human cancer

Molecular Oncology, EarlyView.
We investigate the annotation of BRAF variants, focusing on protein‐coding BRAF‐220 (formerly BRAF‐reference) and BRAF‐204 (BRAF‐X1). The IsoWorm pipeline allows us to quantify these variants in human cancer, starting from RNA‐sequencing data. BRAF‐204 is more abundant than BRAF‐220 and impacts patient survival.
Maurizio S. Podda, Danilo Tatoni, Gianluca Mattei, Alberto Magi, Romina D'Aurizio, Laura Poliseno   +5 more
wiley   +1 more source

Data‐driven discovery of gene expression markers distinguishing pediatric acute lymphoblastic leukemia subtypes

Molecular Oncology, EarlyView.
This study investigates gene expression differences between two major pediatric acute lymphoblastic leukemia (ALL) subtypes, B‐cell precursor ALL, and T‐cell ALL, using a data‐driven approach consisting of biostatistics and machine learning methods. Following analysis of a discovery dataset, we find a set of 14 expression markers differentiating the ...
Mona Nourbakhsh, Nikola Tom, Anna Schrøder Lassen, Helene Brasch Lind Petersen, Ulrik Kristoffer Stoltze, Karin Wadt, Kjeld Schmiegelow, Matteo Tiberti, Elena Papaleo   +8 more
wiley   +1 more source

Approximation properties of simple Lie groups made discrete [PDF]

, 2015
In this paper we consider the class of connected simple Lie groups equipped with the discrete topology. We show that within this class of groups the following approximation properties are equivalent: (1) the Haagerup property; (2) weak amenability; (3 ...
Knudby, Søren, Li, Kang
core  

Comprehensive omics‐based classification system in adult patients with B‐cell acute lymphoblastic leukemia

Molecular Oncology, EarlyView.
The COMBAT classification system, developed through multi‐omics integration, stratifies adult patients with B‐cell acute lymphoblastic leukemia(B‐ALL) into three molecular subtypes with distinct surface antigen patterns, immune landscape, methylation patterns, biological pathways and prognosis.
Yang Song, Ting Liu, Qishan Hao, Qiuyun Fang, Xiaoyuan Gong, Yan Li, Zheng Tian, Hui Wei, Min Wang, Jianxiang Wang, Tao Cheng, Yingchang Mi   +11 more
wiley   +1 more source

Approximation properties of beta operators

Journal of Approximation Theory, 1985
A localization theorem for beta approximation operators \(\beta_ n\) \((n=1,2,...)\) (introduced and discussed in the author's Thesis ''Study of some distributional and integral transforms'', Ph.D. Thesis, Kumaun University, Nainital, India, chap. IX): \(\beta_ n(f;x)=\int^{\infty}_{0}b_ n(x,u)f(u^{-1})du,\) where \(b_ n(x,u)=\frac{x^ n}{B(n,n)}\frac{u^
openaire   +2 more sources

Circulating tumor DNA monitoring and blood tumor mutational burden in patients with metastatic solid tumors treated with atezolizumab

Molecular Oncology, EarlyView.
In patients treated with atezolizumab as a part of the MyPathway (NCT02091141) trial, pre‐treatment ctDNA tumor fraction at high levels was associated with poor outcomes (radiographic response, progression‐free survival, and overall survival) but better sensitivity for blood tumor mutational burden (bTMB).
Charles Swanton, Russell W. Madison, Candice Francheska B. Tambaoan, Funda Meric‐Bernstam, Christopher J. Sweeney, Razelle Kurzrock, Howard A. Burris III, David R. Spigel, Hanna Tukachinsky, Jason Hughes, Julia Malato, Bongin Yoo, Tania Szado, Cheryl Schwab, Lincoln W. Pasquina, Amaya Gasco, Katja Schulze, Claire F. Friedman   +17 more
wiley   +1 more source

Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations

International Journal of Mathematics and Mathematical Sciences, 2005
A smoothing property in multistep backward difference method for a linear parabolic problem in Hilbert space has been proved, where the operator is selfadjoint, positive definite with compact inverse.
Yubin Yan
doaj   +1 more source

An Approximation Property and the Sphere of L1

Journal of Approximation Theory, 1999
The author gives a very elementary and short proof that any infinite dimensional \(L^1\) space does not satisfy the following property: A normed linear space \(E\) is said to have property \(P\) if for every \(\varepsilon>0\), there is a \(\delta>0\) such that, for every \(x\in E\), there is a \(z\in E\) with \(\|z\|\leq\varepsilon\) such that \(\|y ...
openaire   +2 more sources