Results 61 to 70 of about 3,155 (247)
Extreme functionals on an upper semicontinuous function space [PDF]
Proceedings of the American Mathematical Society, 1974 A representation theorem is given for the extreme points of the dual ball of a vector valued function space Xwith upper semicontinuous norm defined on a compact Hausdorff space (?. This generalizes the Arens-Kelley theorem which is the case X=C(Q). One of the most powerful tools in the abstract geometric description of Banach spaces Xwhich are given by
Cunningham, F. jun., Roy, Nina M.
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Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Conformal bootstrap deformations
Journal of High Energy Physics, 2022 We explore the space of extremal functionals in the conformal bootstrap. By recasting the bootstrap problem as a set of non-linear equations parameterized by the CFT data, we find an efficient algorithm for converging to the extremal solution ...
Nima Afkhami-Jeddi
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Molecular Oncology, EarlyView.To integrate multiple transcriptomics data with severe batch effects for identifying MB subtypes, we developed a novel and accurate computational method named RaMBat, which leveraged subtype‐specific gene expression ranking information instead of absolute gene expression levels to address batch effects of diverse data sources.
Mengtao Sun, Jieqiong Wang, Shibiao Wan
wiley +1 more source
Existence of an extremal function of critical Sobolev embedding with an $\alpha $-homogeneous weight
Comptes Rendus. MathématiqueIn [Calc. Var. Partial Differ. Equ. 60 (2021), no. 1, article no. 16 (27 pages)], we revisited a critical Sobolev-type embedding for weighted Sobolev spaces as introduced in [J. Differ. Equations 255 (2013), no. 11, pp.
Gurka, Petr, Hauer, Daniel
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Extremal functions for Moser’s inequality [PDF]
Transactions of the American Mathematical Society, 1996 Let Ω \Omega be a bounded smooth domain in R n R^{n} , and u ( x ) u(x) a C 1 C^{1} function with compact support in Ω \Omega .
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Molecular Oncology, EarlyView.Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
wiley +1 more source
Extreme points in function spaces [PDF]
Proceedings of the American Mathematical Society, 1983 We show that the extreme points of the unit ball of C ( K , L 1 ( μ ) ) C(K,{L^1}(\mu )) ( K K compact Hausdorff, ( Ω , Σ , μ ) (\Omega ,\Sigma ,\mu )
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source