Results 101 to 110 of about 703,577 (334)

Mean Curvature Flow on Ricci Solitons

, 2010
We study monotonic quantities in the context of combined geometric flows. In particular, focusing on Ricci solitons as the ambient space, we consider solutions of the heat type equation integrated over embedded submanifolds evolving by mean curvature ...
Bakas I, Cao H D Zhu X P, Chow B, Efstratios Tsatis, Fateev V A Onofri E, Hamilton R, Huisken G, Kleiner B Lott J, Mantegazza C Magni A Tsatis E, Morgan J Tian G, Ni L, Perelman G, Perelman G, Perelman G, Zamolodchikov A B, Zamolodchikov A B   +15 more
core   +1 more source

Extend Mean Curvature Flow with Finite Integral Curvature [PDF]

Asian Journal of Mathematics, 2011
In this note, we first prove that the solution of mean curvature flow on a finite time interval $[0,T)$ can be extended over time $T$ if the space-time integration of the norm of the second fundamental form is finite. Secondly, we prove that the solution of certain mean curvature flow on a finite time interval $[0,T)$ can be extended over time $T$ if ...
Xu, Hong-Wei, Ye, Fei, Zhao, En-Tao
openaire   +4 more sources

Integrative systems‐level analysis reveals a contextual crosstalk between hypoxia and global metabolism in human breast tumors

Molecular Oncology, EarlyView.
Breast tumor samples scored for metabolic deregulation (M1 to M3) were given a hypoxia score (HS). The highest HS occurred in patients with strongest metabolic deregulation (M3), supporting tumor aggressiveness. HS correlated with the highest number of metabolic pathways in M1. This suggests hypoxia to be an early event in metabolic deregulation.
Raefa Abou Khouzam, Salem Chouaib, Mohammad Askandar Iqbal   +2 more
wiley   +1 more source

Scalar curvature, isoperimetric collapse and General Relativity in the Constant Mean Curvature gauge [PDF]

arXiv, 2010
We discuss a set of relations, set in the form of results, conjectures and problems, between the L^{2}-norm of the Ricci curvature of a 3-manifold, the scalar curvature and the volume radius. We illustrate the scope of these relations with potential applications to the Einstein Constant Mean Curvature flow (or GR seen as a geometric flow of constant ...
arxiv  

Precision measurement of the mean curvature

Physical Review D, 2006
7 pages accepted for publication in PRD. Final published version with more on how the curvature constraints depend on the technique used for measuring ...
openaire   +3 more sources

Integrative analysis of circulating tumor cells (CTCs) and exosomes from small‐cell lung cancer (SCLC) patients: a comprehensive approach

Molecular Oncology, EarlyView.
This study simultaneously investigated circulating tumor cells (CTCs) and exosomes from small‐cell lung cancer (SCLC) patients. The elevated expression of JUNB and CXCR4 in CTCs was a poor prognostic factor for SCLC patients, whereas exosomal overexpression of these biomarkers revealed a high discrimination ability of patients from healthy individuals,
Dimitrios Papakonstantinou, Argyro Roumeliotou, Evangelia Pantazaka, Athanasios‐Nasir Shaukat, Athina Christopoulou, Angelos Koutras, Foteinos‐Ioannis Dimitrakopoulos, Vassilis Georgoulias, Anastasia Xagara, Evangelia Chantzara, Fillipos Koinis, Athanasios Kotsakis, Constantinos Stathopoulos, Galatea Kallergi   +13 more
wiley   +1 more source

The accumulation of myeloid‐derived suppressor cells participates in abdominal infection‐induced tumor progression through the PD‐L1/PD‐1 axis

Molecular Oncology, EarlyView.
This study explores how sepsis affects GC progression by creating an immunosuppressive environment. Our findings reveal that sepsis promotes immune dysregulation, enhancing tumor growth and metastasis. Targeting the PD‐1/PD‐L1 pathway with monoclonal antibodies shows potential for restoring immune function and improving outcomes in cancer patients ...
Yiding Wang, Ting Guo, Xiaofang Xing, Xijuan Liu, Xuejun Gan, Yingai Li, Yan Liu, Fei Shan, Zhouqiao Wu, Jiafu Ji, Ziyu Li   +10 more
wiley   +1 more source

Plasma‐activated media selectively induces apoptotic death via an orchestrated oxidative stress pathway in high‐grade serous ovarian cancer cells

Molecular Oncology, EarlyView.
High‐grade serous ovarian cancer (HGSOC) is the most common and aggressive type of ovarian cancer with urgent need for new treatment strategies. This study evaluates plasma‐activated media (PAM) as a novel treatment for HGSOC, showing its ability to selectively induce oxidative stress and apoptosis in HGSOC cell lines, patient ascites cells and primary
Lorena T. Davies, Raja Ganesen, John Toubia, Sung‐Ha Hong, Sushil Kumar KC, Martin K. Oehler, Carmela Ricciardelli, Endre J. Szili, Nirmal Robinson, Melissa R. Pitman   +9 more
wiley   +1 more source

Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow

Discrete Dynamics in Nature and Society, 2020
In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
doaj   +1 more source

On Ilmanen's multiplicity-one conjecture for mean curvature flow with type-I mean curvature [PDF]

arXiv, 2018
In this paper, we show that if the mean curvature of a closed smooth embedded mean curvature flow in R^3 is of type-I, then the rescaled flow at the first finite singular time converges smoothly to a self-shrinker flow with multiplicity one. This result confirms Ilmanen's multiplicity-one conjecture under the assumption that the mean curvature is of ...
arxiv