Results 171 to 180 of about 5,121,571 (362)

Period problems for mean curvature one surfaces in $H^3$ (with application to surfaces of low total curvature) [PDF]

Adv. Studies in Pure Math. 51 (2008), 335-387, Surveys on Geometry and Integrable Systems, 2008
We review recent results on classifying complete constant mean curvature 1 (CMC 1) surfaces in hyperbolic 3-space with low total curvature. There are two natural notions of "total curvature" -- one is the total absolute curvature, which is the integral over the surface of the absolute value of the Gaussian curvature, and the other is the dual total ...
arxiv  

Highly multiplexed digital PCR assay for simultaneous quantification of variant allele frequencies and copy number alterations of KRAS and GNAS in pancreatic cancer precursors

Molecular Oncology, EarlyView.
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka, Tatsuo Nakagawa, Yusuke Ono, Yoshio Kamura, Takeshi Ishida, Hidemasa Kawabata, Kenji Takahashi, Hiroki Sato, Andrew S. Liss, Yusuke Mizukami, Takahide Yokoi   +10 more
wiley   +1 more source

Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms [PDF]

Arab J. Math. Sci 16 (2010), no. 1, 1-46, 2013
A submanifold of a pseudo-Riemannian manifold is said to have parallel mean curvature vector if the mean curvature vector field H is parallel as a section of the normal bundle. Submanifolds with parallel mean curvature vector are important since they are critical points of some natural functionals.
arxiv  

The existence of surfaces of constant mean curvature with arbitrary Jordan cuves as assigned boundary [PDF]

, 1960
H. Werner
openalex   +1 more source

Immersions of bounded mean curvature

Archiv der Mathematik, 1979
Archiv Der ...
Hasanis, T., Koutroufiotis, D.
openaire   +3 more sources

Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma

Molecular Oncology, EarlyView.
This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu, Jianchao Wang, Fuqing Chen, Xuefeng Wang, Bin Lan, Ruyi Fu, Hong Wen, Fangfang Chen, Wei Hong, Tian‐Yu Tang, Ying He, Gang Chen, Jianyin Zhou, Hai‐Long Piao, Di Chen, Shu‐Yong Lin   +15 more
wiley   +1 more source

A REMARK ON A CLOSED ORIENTABLE HYPERSURFACE WITH CONSTANT REDUCED MEAN CURVATURE [PDF]

, 1968
Yoshihiko Tazawa
openalex   +1 more source

Comparing self‐reported race and genetic ancestry for identifying potential differentially methylated sites in endometrial cancer: insights from African ancestry proportions using machine learning models

Molecular Oncology, EarlyView.
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley   +1 more source

Blow Up of Compact Mean Curvature Flow Solutions with Bounded Mean Curvature [PDF]

arXiv
In 1994, Vel\'{a}zquez constructed a countable family of complete hypersurfaces flowing in $\mathbb{R}^{2N}$ $(N\geq 4)$ by mean curvature, each of which develops a type II singularity at the origin in finite time. Later Guo and Sesum showed that for a non-empty subset of Vel\'{a}zquez's solutions, the mean curvature blows up near the origin, at a rate
arxiv  

ON SOME PROPERTIES OF A SUBMANlFOLD WITH CONSTANT MEAN CURVATURE IN A RIEMANN SPACE [PDF]

, 1968
Yoshie Katsurada, Tamao Nagai
openalex   +1 more source