Results 101 to 110 of about 709,545 (374)

Smooth rational curves on rational surfaces [PDF]

arXiv, 2020
Consider the scheme parametrizing non-constant morphisms from a fixed projective curve to a projective surface. There is a rational map between this scheme and the Chow variety of $1$-cycles on the surface. We prove that, if the curve is non-singular, then this rational map is a morphism. As a consequence, we obtain that, if the surface is rational and
arxiv  

Detection rate for ESR1 mutations is higher in circulating‐tumor‐cell‐derived genomic DNA than in paired plasma cell‐free DNA samples as revealed by ddPCR

Molecular Oncology, EarlyView.
Analysis of ESR1 mutations in plasma cell‐free DNA (cfDNA) is highly important for the selection of treatment in patients with breast cancer. Using multiplex‐ddPCR and identical blood draws, we investigated whether circulating tumor cells (CTCs) and cfDNA provide similar or complementary information for ESR1 mutations.
Stavroula Smilkou, Aliki Ntzifa, Victoria Tserpeli, Ioanna Balgkouranidou, Alkistis Papatheodoridi, Evangelia Razis, Helena Linardou, Christos Papadimitriou, Amanda Psyrri, Flora Zagouri, Stylianos Kakolyris, Evi Lianidou   +11 more
wiley   +1 more source

Why Bayesian Rationality Is Empty, Perfect Rationality Doesn't Exist, Ecological Rationality Is Too Simple, and Critical Rationality Does the Job [PDF]

Economists claim that principles of rationality are normative principles. Nevertheless, they go on to explain why it is in a person's own interest to be rational.
Max Albert
core  

Equivariantly uniformly rational varieties [PDF]

arXiv, 2015
We introduce equivariant versions of uniform rationality: given an algebraic group G, a G-variety is called G-uniformly rational (resp. G-linearly uniformly rational) if every point has a G-invariant open neighborhood equivariantly isomorphic to a G-invariant open subset of the affine space endowed with a G-action (resp. linear G-action).
arxiv  

Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer

Molecular Oncology, EarlyView.
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu, Fenglin Shen, Yang Liu, Ziqing Zhong, Yongling Chen, Zhiyuan Xia, Cuiju Mo, Hongxiu Yu   +7 more
wiley   +1 more source

Chimpanzees adapt their exploration to key properties of the environment

Nature Communications
Exploration is an important strategy for reducing the uncertainty that pervades daily life. Yet the evolutionary roots of adaptive exploration are poorly understood.
Lou M. Haux, Jan M. Engelmann, Esther Herrmann, Ralph Hertwig   +3 more
doaj   +1 more source

Four-Dimensional Algebraic Tori [PDF]

arXiv, 2015
The study of the birational properties of algebraic $k$-tori began in the sixties and seventies with work of Voskresenkii, Endo, Miyata, Colliot-Th\'el\`ene and Sansuc. There was particular interest in determining the rationality of a given algebraic $k$-tori.
arxiv  

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

Rational points on elliptic curves and representations of rational numbers as the product of two rational factors [PDF]

arXiv, 2019
In this paper I demonstrate that any pair (m, n) of non-zero and distinct rational numbers may have, at most, four representations as the product of two rational factors such that the sum of factors of m coincides with the sum of factors of n. In the second part of the paper I derive the properties of elliptic curves such that the cubic has rational ...
arxiv  

Integration of single‐cell and bulk RNA‐sequencing data reveals the prognostic potential of epithelial gene markers for prostate cancer

Molecular Oncology, EarlyView.
Prostate cancer is a leading malignancy with significant clinical heterogeneity in men. An 11‐gene signature derived from dysregulated epithelial cell markers effectively predicted biochemical recurrence‐free survival in patients who underwent radical surgery or radiotherapy.
Zhuofan Mou, Lorna W. Harries
wiley   +1 more source