Results 91 to 100 of about 211,213 (315)

Some Liouville-type results for stable solutions involving the mean curvature operator: The radial case

Discrete and Continuous Dynamical Systems. Series A, 2020
We prove some new Liouville-type theorems for stable radial solutions of \begin{document}$ - {{\rm{div}}}{\left(\frac{\nabla u}{\sqrt{1+\left\vert{\nabla u}\right\vert^2}}\right)} = f(u)\mbox{ in } \mathbb R^N, $\end{document} where \begin{document}$ f $\
A. Farina, M. A. Navarro
semanticscholar   +1 more source

Nonlinear quantum gravity on the constant mean curvature foliation

, 2004
A new approach to quantum gravity is presented based on a nonlinear quantization scheme for canonical field theories with an implicitly defined Hamiltonian.
Arnowitt R, Carlip S, Charles H-T Wang, Choquet-Bruhat Y, Choquet-Bruhat Y, DeWitt B S, Dirac P A M, Dirac P A M, Dirac P A M, Dirac P A M, Fischer A E, Fischer A E, Fischer A E, Fischer A E, Gotay M J, Gotay M J, Hojman S A, Isenberg J A, Kibble T W B, Kucha? K V, Kucha? K V, Kucha? K V, Kucha? K V, Kucha? K V, Kucha? K V G Kunstatter D E Vicent J G Williams, Laloë F, Lichnerowicz A, MacCallum M A H, Marsden J E, Marsden J E, Mielnik B, Pearle P, Pons J M, Pons J M, Ryan M P, Schoen R, Seiler W M, Stephani H, Tomonaga S, Torre C G, Torre C G, Vilenkin A, Wang C H-T, Wang C H-T, Wheeler J A, Yamabe H   +45 more
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In vitro properties of patient serum predict clinical outcome after high dose rate brachytherapy of hepatocellular carcinoma

Molecular Oncology, EarlyView.
Following high dose rate brachytherapy (HDR‐BT) for hepatocellular carcinoma (HCC), patients were classified as responders and nonresponders. Post‐therapy serum induced increased BrdU incorporation and Cyclin E expression of Huh7 and HepG2 cells in nonresponders, but decreased levels in responders.
Lukas Salvermoser, Jan Niklas Schäfer, Shraga Nahum Goldberg, Philipp Maximilian Kazmierczak, Moritz Nikolaus Gröper, Philipp Franz Linden, Elif Öcal, Tanja Burkard, Stefanie Corradini, Najib Ben Khaled, Moritz Wildgruber, Max Seidensticker, Jens Ricke, Matthias Stechele, Marianna Alunni‐Fabbroni   +14 more
wiley   +1 more source

On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space

Bulletin of Mathematical Sciences, 2022
We investigate the umbilicity of n-dimensional complete linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector field in the de Sitter space [Formula: see text] of index [Formula: see text].
Weiller F. C. Barboza, Eudes L. de Lima, Henrique F. de Lima, Marco Antonio L. Velásquez   +3 more
doaj   +1 more source

Adaptaquin is selectively toxic to glioma stem cells through disruption of iron and cholesterol metabolism

Molecular Oncology, EarlyView.
Adaptaquin selectively kills glioma stem cells while sparing differentiated brain cells. Transcriptomic and proteomic analyses show Adaptaquin disrupts iron and cholesterol homeostasis, with iron chelation amplifying cytotoxicity via cholesterol depletion, mitochondrial dysfunction, and elevated reactive oxygen species.
Adrien M. Vaquié, Davod R. Shah, Eliane E. S. Brechbühl, Michael McNicholas, Zhaoyang Xu, John H. Stockley, Laura Morcom, Diana Gold Diaz, Gemma C. Girdler, Rachel V. Seear, Gabriel Balmus, Rajiv R. Ratan, Harry Bulstrode, James A. Nathan, Manav Pathania, Kevin M. Brindle, David H. Rowitch   +16 more
wiley   +1 more source

Existence results for parametric boundary value problems involving the mean curvature operator [PDF]

Nonlinear Differential Equations and Applications NoDEA, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BONANNO, Gabriele, Livrea, Roberto, Mawhin, Jean   +2 more
openaire   +5 more sources

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

On the $L_r$-operators penalized by $(r+1)$-mean curvature

, 2016
In this paper, we establish the non-positivity of the second eigenvalue of the Schr dinger operator $-\textrm{div}\big( P_r \nabla\cdot\big) - W_r^2$ on a closed hypersurface $ ^n$ of $\mathbb{R}^{n+1}$, where $W_r$ is a power of the $(r+1)$-th mean curvature of $ ^n$. In the case that this eigenvalue is null we have a characterization of the sphere.
openaire   +3 more sources

Predictors of response and rational combinations for the novel MCL‐1 inhibitor MIK665 in acute myeloid leukemia

Molecular Oncology, EarlyView.
This study characterizes the responses of primary acute myeloid leukemia (AML) patient samples to the MCL‐1 inhibitor MIK665. The results revealed that monocytic differentiation is associated with MIK665 sensitivity. Conversely, elevated ABCB1 expression is a potential biomarker of resistance to the treatment, which can be overcome by the combination ...
Joseph Saad, Rhiannon Newman, Elmira Khabusheva, Sofia Aakko, Eric Durand, Mahesh Tambe, Heikki Kuusanmäki, Alun Parsons, Juho J. Miettinen, Komal Kumar Javarappa, Ezgi June Olgac, Nemo Ikonen, Mika Kontro, Kimmo Porkka, Heiko Maacke, Janghee Woo, Ensar Halilovic, Caroline A. Heckman   +17 more
wiley   +1 more source

On submanifolds whose tubular hypersurfaces have constant mean curvatures [PDF]

, 2011
Motivated by the theory of isoparametric hypersurfaces, we study submanifolds whose tubular hypersurfaces have some constant "higher order mean curvatures". Here a $k$-th order mean curvature $Q_k$ ($k\geq1$) of a hypersurface $M^n$ is defined as the $k$-
Ge, Jianquan
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