Results 51 to 60 of about 136,194 (301)

Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces

, 2015
The main result of this note is that, for each $n\in \{1,2,3,\ldots\}$, there exists a Hodge metric on the $n$-th Hirzebruch surface whose positive holomorphic sectional curvature is $\frac{1}{(1+2n)^2}$-pinched.
Alvarez, Angelynn, Chaturvedi, Ananya, Heier, Gordon   +2 more
core   +1 more source

Gut microbiota diversity is prognostic in metastatic hormone receptor‐positive breast cancer patients receiving chemotherapy and immunotherapy

Molecular Oncology, EarlyView.
In this exploratory study, we investigated the relationship between the gut microbiota and outcome in patients with metastatic hormone receptor‐positive breast cancer, treated in a randomized clinical trial with chemotherapy alone or chemotherapy in combination with immune checkpoint blockade.
Andreas Ullern, Kristian Holm, Nikolai Kragøe Andresen, Andreas Hagen Røssevold, Corinna Bang, Bjørn Naume, Johannes R. Hov, Jon Amund Kyte   +7 more
wiley   +1 more source

The vanishing rate of Weil–Petersson sectional curvatures [PDF]

, 2021
Scott A. Wolpert
openalex   +1 more source

Curvature and Concentration of Hamiltonian Monte Carlo in High Dimensions [PDF]

, 2015
In this article, we analyze Hamiltonian Monte Carlo (HMC) by placing it in the setting of Riemannian geometry using the Jacobi metric, so that each step corresponds to a geodesic on a suitable Riemannian manifold.
Holmes, Susan, Rubinstein-Salzedo, Simon, Seiler, Christof   +2 more
core  

Asymptotic behaviour of the sectional curvature of the Bergman metric for annuli

, 2009
We extend and simplify results of \cite{Din~2009} where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied.
Zwonek, Wlodzimierz
core   +1 more source

Patient‐specific pharmacogenomics demonstrates xCT as predictive therapeutic target in colon cancer with possible implications in tumor connectivity

Molecular Oncology, EarlyView.
This study integrates transcriptomic profiling of matched tumor and healthy tissues from 32 colorectal cancer patients with functional validation in patient‐derived organoids, revealing dysregulated metabolic programs driven by overexpressed xCT (SLC7A11) and SLC3A2, identifying an oncogenic cystine/glutamate transporter signature linked to ...
Marco Strecker, Keren Zohar, Martin Böttcher, Thomas Wartmann, Henry Freudenstein, Maximilian Doelling, Mihailo Andric, Wenjie Shi, Or Kakhlon, Katrin Hippe, Beatrix Jahnke, Dimitrios Mougiakakos, Franziska Baenke, Daniel Stange, Roland S. Croner, Michal Linial, Ulf D. Kahlert   +16 more
wiley   +1 more source

Glycosylated LGALS3BP is highly secreted by bladder cancer cells and represents a novel urinary disease biomarker

Molecular Oncology, EarlyView.
Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece, Giulio Lovato, Ilaria Cela, Arianna Mercatelli, Benedetta Ferro, Jussi Nikkola, Sara Pagotto, Tommaso Grottola, Vincenzo De Laurenzi, Rossella Cicchetti, Antonio Marchetti, Luigi Schips, Rossano Lattanzio, Stefano Iacobelli, Emily Capone, Peter Black, Mads Daugaard, Michele Marchioni, Gianluca Sala   +18 more
wiley   +1 more source

The Geometry of Axisymmetric Ideal Fluid Flows with Swirl [PDF]

, 2014
The sectional curvature of the volume preserving diffeomorphism group of a Riemannian manifold $M$ can give information about the stability of inviscid, incompressible fluid flows on $M$.
Preston, Stephen C., Washabaugh, Pearce
core  

Liquid biopsy epigenetics: establishing a molecular profile based on cell‐free DNA

Molecular Oncology, EarlyView.
Cell‐free DNA (cfDNA) fragments in plasma from cancer patients carry epigenetic signatures reflecting their cells of origin. These epigenetic features include DNA methylation, nucleosome modifications, and variations in fragmentation. This review describes the biological properties of each feature and explores optimal strategies for harnessing cfDNA ...
Christoffer Trier Maansson, Anders Lade Nielsen, Boe Sandahl Sorensen   +2 more
wiley   +1 more source

Positivity and Kodaira embedding theorem

, 2020
Kodaira embedding theorem provides an effective characterization of projectivity of a K\"ahler manifold in terms the second cohomology. Recently X. Yang [21] proved that any compact K\"ahler manifold with positive holomorphic sectional curvature must be ...
Ni, Lei, Zheng, Fangyang
core