Results 81 to 90 of about 121,934 (291)

Reflection principles, GCH and the uniformization properties [PDF]

arXiv, 2020
Reflection principles (or dually speaking, compactness principles) often give rise to combinatorial guessing principles. Uniformization properties, on the other hand, are examples of anti-guessing principles. We discuss the tension and the compatibility between reflection principles and uniformization properties at the level of the second uncountable ...
arxiv  

Multidimensional Fractional Wavelet Transforms and Uncertainty Principles [PDF]

arXiv, 2022
In this paper, we have given a new definition of continuous fractional wavelet transform in $\mathbb{R}^N$, namely the multidimensional fractional wavelet transform (MFrWT) and studied some of the basic properties along with the inner product relation and the reconstruction formula.
arxiv  

Cellular liquid biopsy provides unique chances for disease monitoring, preclinical model generation and therapy adjustment in rare salivary gland cancer patients

Molecular Oncology, EarlyView.
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić, Florian Lüke, Steffi Treitschke, Andrea Coluccio, Martin Hoffmann, Giancarlo Feliciello, Adithi Ravikumar Varadarajan, Xin Lu, Kathrin Weidele, Catherine Botteron, Silvia Materna–Reichelt, Felix Keil, Katja Evert, Florian Weber, Thomas Schamberger, Michael Althammer, Jirka Grosse, Dirk Hellwig, Christian Schulz, Stephan Seitz, Peter Ugocsai, Anke Schlenska‐Lange, Roman Mayr, Ulrich Kaiser, Wolfgang Dietmaier, Bernhard Polzer, Jens Warfsmann, Kamran Honarnejad, Tobias Pukrop, Daniel Heudobler, Christoph A. Klein, Christian Werno   +31 more
wiley   +1 more source

Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

Journal of Inequalities and Applications, 2017
In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term.
Yanbin Sang, Siman Guo
doaj   +1 more source

NanoCMSer: a consensus molecular subtype stratification tool for fresh‐frozen and paraffin‐embedded colorectal cancer samples

Molecular Oncology, EarlyView.
Consensus molecular subtypes (CMS1‐4) have been identified to study colorectal cancer heterogeneity and serve as potential biomarkers. In this study, we developed and evaluated NanoCMSer, a NanoString‐based classifier using 55 genes, optimized for FF and FFPE to facilitate the clinical evaluation of CMS subtyping.
Arezo Torang, Simone van de Weerd, Veerle Lammers, Sander van Hooff, Inge van den Berg, Saskia van den Bergh, Miriam Koopman, Jan N. IJzermans, Jeanine M. L. Roodhart, Jan Koster, Jan Paul Medema   +10 more
wiley   +1 more source

KMT2A degradation is observed in decitabine‐responsive acute lymphoblastic leukemia cells

Molecular Oncology, EarlyView.
We demonstrate that decitabine (DEC) not only degrades the DNA methyltransferase DNMT1 but also the leukemic driver lysine methyltransferase KMT2A likely due to structural similarity of the DNA‐binding CXXC domains. DEC influences KMT2A downstream processes and synergizes with menin inhibitor revumenib (REV) to decrease leukemic cell proliferation, and
Luisa Brock, Lina Benzien, Sandra Lange, Maja Huehns, Alexandra Runge, Catrin Roolf, Anett Sekora, Gudrun Knuebel, Hugo Murua Escobar, Christian Junghanss, Anna Richter   +10 more
wiley   +1 more source

Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

Advances in Difference Equations, 2019
In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence results for the above equation, which improve the ...
Yongzhen Yun, Tianqing An, Guoju Ye
doaj   +1 more source

An Induction Principle and Pigeonhole Principles for K-Finite Sets [PDF]

arXiv, 1994
We establish a course-of-values induction principle for K-finite sets in intuitionistic type theory. Using this principle, we prove a pigeonhole principle conjectured by Benabou and Loiseau. We also comment on some variants of this pigeonhole principle.
arxiv  

Multiplicity results for double phase problems involving a new type of critical growth

, 2023
Using variational methods, we have obtained several multiplicity results for double phase problems that involve variable exponents and a new type of critical growth.
Ha, Hoang Hai, Ho, Ky
core  

Analysis of comprehensive genomic profiling of solid tumors with a novel assay for broad analysis in clinical diagnostics

Molecular Oncology, EarlyView.
In molecular cancer diagnostics, comprehensive genomic profiling (CGP) is going to replace the small NGS panels since it provides all clinically relevant somatic variants as well as genomic biomarkers with clinical value. Here, we compared two CGP assays and demonstrate that the choice for diagnostic implementation will depend on the specific ...
Guy Froyen, Pieter‐Jan Volders, Ellen Geerdens, Severine Berden, Joni Van der Meulen, Aaron De Cock, Stefanie Vermeire, Jacques Van Huysse, Marie de Barsy, Gabriela Beniuga, Wendy W. J. de Leng, Anne M. L. Jansen, Imke Demers, Zeliha Ozgur, Hendrikus Jan Dubbink, Ernst‐Jan M. Speel, Wilfred F. J. van IJcken, Brigitte Maes   +17 more
wiley   +1 more source