Results 81 to 90 of about 872,045 (323)

The thresholding scheme for mean curvature flow and de Giorgi's ideas for minimizing movements [PDF]

, 2019
We consider the thresholding scheme and explore its connection to De Giorgi's ideas on gradient flows in metric spaces; here applied to mean curvature flow as the steepest descent of the interfacial area.
Tim Laux, F. Otto
semanticscholar   +1 more source

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

Mean curvature flow solitons from symmetry group viewpoint [PDF]

arXiv, 2022
The symmetry group of the mean curvature flow in general ambient Riemannian manifolds is determined, based on which we define generalized solitons to the mean curvature flow. We also provide examples of homothetic solitons in non-Euclidean surfaces and prove that all the affine solutions to the mean curvature flow are self-similar solutions.
arxiv  

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

Mean curvature flow in a Ricci flow background

, 2012
Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow.
B. Kleiner, E. Fan, G. Gibbons, G. Huisken, G. Huisken, G. Huisken, J. Lott, J. Simons, J. York, John Lott, K. Ecker, P.T. Ho, R. Hamilton, R. Hamilton, T. Colding   +14 more
core   +1 more source

Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer

Molecular Oncology, EarlyView.
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu, Fenglin Shen, Yang Liu, Ziqing Zhong, Yongling Chen, Zhiyuan Xia, Cuiju Mo, Hongxiu Yu   +7 more
wiley   +1 more source

Swampland, gradient flow and infinite distance

Journal of High Energy Physics, 2020
In the first part of this paper we will work out a close and so far not yet noticed correspondence between the swampland approach in quantum gravity and geometric flow equations in general relativity, most notably the Ricci flow.
Alex Kehagias, Dieter Lüst, Severin Lüst   +2 more
doaj   +1 more source

On the extension of axially symmetric volume flow and mean curvature flow [PDF]

arXiv, 2013
We study the provenance of singularity formation under mean curvature flow and volume preserving mean curvature flow in an axially symmetric setting. We prove that if the mean curvature is uniformly bounded on any finite time interval, then no singularities can develop during that time under both mean curvature flow and volume preserving mean curvature
arxiv  

Inhibition of acyl‐CoA synthetase long‐chain isozymes decreases multiple myeloma cell proliferation and causes mitochondrial dysfunction

Molecular Oncology, EarlyView.
Triacsin C inhibition of the acyl‐CoA synthetase long chain (ACSL) family decreases multiple myeloma cell survival, proliferation, mitochondrial respiration, and membrane potential. Made with Biorender.com. Multiple myeloma (MM) is an incurable cancer of plasma cells with a 5‐year survival rate of 59%.
Connor S. Murphy, Heather Fairfield, Victoria E. DeMambro, Samaa Fadel, Carlos A. Gartner, Michelle Karam, Christian Potts, Princess Rodriguez, Ya‐Wei Qiang, Habib Hamidi, Xiangnan Guan, Calvin P. H. Vary, Michaela R. Reagan   +12 more
wiley   +1 more source

Nonexistence of mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products

Advances in Nonlinear Analysis
Our purpose is to establish nonexistence results concerning complete noncompact mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products, under mild constraints on the warping and soliton functions ...
Batista Márcio, Molica Bisci Giovanni, de Lima Henrique F., Gomes Wallace F.   +3 more
doaj   +1 more source