Results 51 to 60 of about 264,591 (279)

Noncollapsing in mean-convex mean curvature flow [PDF]

Geometry & Topology, 2012
We provide a direct proof of a non-collapsing estimate for compact hypersurfaces with positive mean curvature moving under the mean curvature flow: Precisely, if every point on the initial hypersurface admits an interior sphere with radius inversely proportional to the mean curvature at that point, then this remains true for all positive times in the ...
openaire   +5 more sources

Inverse Mean Curvature Flow With Singularities

International Mathematics Research Notices, 2022
Abstract This paper concerns the inverse mean curvature flow (IMCF) running from the boundary of a convex body that has no regularity assumption. We study the evolution of singularities by looking at the blow-up tangent cone around each singular point.
Choi, Beomjun, Hung, Pei-Ken
openaire   +2 more sources

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Additive operator splitting scheme for a general mean curvature flow and application in edges enhancement

Journal of Numerical Analysis and Approximation Theory
Many models that use non-linear partial differential equations (PDEs) have been extensively applied for different tasks in image processing. Among these PDE-based approaches, the mean curvature flow filtering has impressive results, for which feature ...
Rafaa Chouder, Noureddine Benhamidouche
doaj   +1 more source

Next‐generation proteomics improves lung cancer risk prediction

Molecular Oncology, EarlyView.
This is one of very few studies that used prediagnostic blood samples from participants of two large population‐based cohorts. We identified, evaluated, and validated an innovative protein marker model that outperformed an established risk prediction model and criteria employed by low‐dose computed tomography in lung cancer screening trials.
Megha Bhardwaj, Clara Frick, Ben Schöttker, Bernd Holleczek, Hermann Brenner   +4 more
wiley   +1 more source

α-Mean curvature flow of non-compact complete convex hypersurfaces and the evolution of level sets

Advances in Nonlinear Analysis
We consider the α\alpha -mean curvature flow for convex graphs in Euclidean space. Given a smooth, complete, strictly convex, non-compact initial hypersurface over a strictly convex projected domain, we derive uniform curvature bounds, which are ...
Kang Hyunsuk, Lee Ki-Ahm, Lee Taehun
doaj   +1 more source

Lectures on mean curvature flow [PDF]

, 2014
A family of hypersurfaces evolves by mean curvature flow if the velocity at each point is given by the mean curvature vector. Mean curvature flow is the most natural evolution equation in extrinsic geometry, and has been extensively studied ever since ...
Haslhofer, Robert
core  

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

Molecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola, Rafael Lopes Goncalves, Marin Truchi, Caroline Lacoux, Célia Scribe, Hugo Cadis, Laetitia Guardini, Sophie Bekisz, Marius Ilié, Paul Hofman, Georges Vassaux, Bernard Mari, Roger Rezzonico   +12 more
wiley   +1 more source

Analysis of Vaneless Diffuser Stall Instability in a Centrifugal Compressor

International Journal of Turbomachinery, Propulsion and Power, 2017
Numerical simulations based on the large eddy simulation approach were conducted with the aim to explore vaneless diffuser rotating stall instability in a centrifugal compressor.
Elias Sundström, Mihai Mihăescu, Marco Giachi, Elisabetta Belardini, Vittorio Michelassi   +4 more
doaj   +1 more source

A New Algorithm for Calculating the Flow Path Curvature (C) from the Square-Grid Digital Elevation Model (DEM)

ISPRS International Journal of Geo-Information, 2020
This paper proposes a flow-path-network-based (FPN-based) algorithm, constructed from a square-grid digital elevation model (DEM) to improve the simulation of the flow path curvature (C).
Qianjiao Wu, Yumin Chen, Hongyan Zhou, Shujie Chen, Han Wang   +4 more
doaj   +1 more source