Results 101 to 110 of about 4,058,790 (257)

On area comparison and rigidity involving the scalar curvature [PDF]

open access: yes
In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
core  

Complete hypersurfaces with constant mean curvature and nonnegative sectional curvatures

open access: yes, 1995
We classify the complete and non-negatively curved hypersurfaces of constant mean curvature in spaces of constant sectional curvature.
Ze Jun Hu
core   +1 more source

Mean curvature flow without singularities

open access: yes, 2012
We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow.
Sáez, Mariel, Schnürer, Oliver C.
core   +1 more source

Pharmacological chromatin remodeling enhances response to estrogen therapy in ER+ breast cancer

open access: yesMolecular Oncology, EarlyView.
Estrogen therapy elicits clinical benefit in ~ 30% of patients with endocrine‐resistant estrogen receptor (ER)‐positive breast cancer. Based on findings that ER transcriptional activation underlies response to estrogen therapy, we tested the effects of epigenetic dysregulation via pharmacological inhibition of histone deacetylases (HDACi).
Anneka L. Johnson Thomas   +16 more
wiley   +1 more source

Improved Detection of Chronic Obstructive Pulmonary Disease at Chest CT Using the Mean Curvature of Isophotes. [PDF]

open access: yesRadiol Artif Intell, 2022
Savadjiev P   +9 more
europepmc   +1 more source

Neckpinch singularities in fractional mean curvature flows

open access: yes, 2018
In this paper we consider the evolution of boundaries of sets by a fractional mean curvature flow. We show that for any dimension n >=2, there exist embedded hypersurfaces in R^n which develop a singularity without shrinking to a point.
Cinti, Eleonora   +5 more
core   +1 more source

Somatostatin receptor 4 (SSTR4) is a tumor suppressor in cutaneous and head & neck squamous cell carcinomas

open access: yesMolecular Oncology, EarlyView.
This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi   +6 more
wiley   +1 more source

An algorithm for Mean Curvature Motion

open access: yes, 2004
We propose in this paper a new algorithm for computing the evolution by mean curvature of a hypersurface. Our algorithm is a variant of the variational approach of Almgren, Taylor and Wang~\cite{ATW}.
Chambolle, Antonin, Antonin Chambolle
core   +1 more source

Castration‐resistant prostate cancer cells are addicted to the high activity of cyclin‐dependent kinase 2

open access: yesMolecular Oncology, EarlyView.
We show that emergence of castration‐resistant prostate (CRPC) is associated with significant upregulation of cyclins that positively regulate cyclin‐dependent kinase 2 (CDK2) and concomitant downregulation of CDK4 cyclins. This renders CRPC cells dependent on the high activity of CDK2, and CDK2 inhibitors synergistically sensitize CRPC cells to both ...
Joyeeta Chatterjee   +3 more
wiley   +1 more source

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