Results 71 to 80 of about 986,527 (283)

Common eigenvectors for commutative positive linear operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
The purpose of this note is to point out an extension of the Markov-Kakutani fixed-point theorem to a result on the existence of a common eigenvector in a cone with a compact base when acted upon by a commutative family of operators. As an application, an extension is given of a result of Kreĭn and Rutman on characteristic functionals.
openaire   +1 more source

Molecular characterisation of human penile carcinoma and generation of paired epithelial primary cell lines

open access: yesMolecular Oncology, EarlyView.
Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad   +12 more
wiley   +1 more source

Methylation biomarkers can distinguish pleural mesothelioma from healthy pleura and other pleural pathologies

open access: yesMolecular Oncology, EarlyView.
We developed and validated a DNA methylation–based biomarker panel to distinguish pleural mesothelioma from other pleural conditions. Using the IMPRESS technology, we translated this panel into a clinically applicable assay. The resulting two classifier models demonstrated excellent performance, achieving high AUC values and strong diagnostic accuracy.
Janah Vandenhoeck   +12 more
wiley   +1 more source

Equi-statistical convergence of positive linear operators

open access: yesJournal of Mathematical Analysis and Applications, 2008
The authors study a Korovkin-type approximation theorem using the equi-statistical convergence which is stronger than the statistical uniform convergence. By an example it is shown that the new approximation result works while its classical and statistical cases do not work.
Karakus, Sevda   +2 more
openaire   +2 more sources

Strength through diversity: how cancers thrive when clones cooperate

open access: yesMolecular Oncology, EarlyView.
Intratumor heterogeneity can offer direct benefits to the tumor through cooperation between different clones. In this review, Kuiken et al. discuss existing evidence for clonal cooperativity to identify overarching principles, and highlight how novel technological developments could address remaining open questions.
Marije C. Kuiken   +3 more
wiley   +1 more source

Detection of circulating tumor DNA in colorectal cancer patients using a methylation‐specific droplet digital PCR multiplex

open access: yesMolecular Oncology, EarlyView.
We developed a cost‐effective methylation‐specific droplet digital PCR multiplex assay containing tissue‐conserved and tumor‐specific methylation markers. The assay can detect circulating tumor DNA with high accuracy in patients with localized and metastatic colorectal cancer.
Luisa Matos do Canto   +8 more
wiley   +1 more source

\(A\)-statistical convergence for a class of positive linear operators

open access: yesJournal of Numerical Analysis and Approximation Theory, 2006
In this paper we introduce a sequence of positive linear operators defined on the space \(C[0,a ...
M. A. Özarslan, O. Duman, O. Doğru
doaj   +2 more sources

Next‐generation proteomics improves lung cancer risk prediction

open access: yesMolecular Oncology, EarlyView.
This is one of very few studies that used prediagnostic blood samples from participants of two large population‐based cohorts. We identified, evaluated, and validated an innovative protein marker model that outperformed an established risk prediction model and criteria employed by low‐dose computed tomography in lung cancer screening trials.
Megha Bhardwaj   +4 more
wiley   +1 more source

About a general property for a class of linear positive operators and applications

open access: yesJournal of Numerical Analysis and Approximation Theory, 2005
In this paper we demonstrate a general property for a class of linear positive operators. By particularization, we obtain the convergence and the evaluation for the rate of convergence in term of the first modulus of smoothness for the Bernstein ...
Ovidiu T. Pop
doaj   +2 more sources

Transformation of the second order modulus by positive linear operators

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
Pǎltǎnea Radu, Stan Gabriel
doaj   +1 more source

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