Results 121 to 130 of about 577,330 (363)
Analysis and Geometry in Metric Spaces, 2013 In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca +2 more
doaj +1 more source
Molecular Oncology, EarlyView.Etoposide induces DNA damage, activating p53‐dependent apoptosis via caspase‐3/7, which cleaves PARP1. Dammarenediol II enhances this apoptotic pathway by suppressing O‐GlcNAc transferase activity, further decreasing O‐GlcNAcylation. The reduction in O‐GlcNAc levels boosts p53‐driven apoptosis and influences the Akt/GSK3β/mTOR signaling pathway ...
Jaehoon Lee +8 more
wiley +1 more source
Mean curvature blow up in mean curvature flow
, 2009 In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds are characterised by the blow up of the mean curvature.
openaire +2 more sources
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
FEBS Open Bio, EarlyView.CAF‐mediated immunosuppression in ovarian cancer is driven by IDO1, reducing T‐cell function. Inhibiting IDO1 restores T‐cell proliferation and cytotoxicity, increases cancer cell apoptosis, and may help overcome CAF‐induced immune suppression in high‐grade serous ovarian cancer. Targeting IDO1 may improve antitumor immunity.
Hyewon Lee +3 more
wiley +1 more source
Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces
Advances in Nonlinear AnalysisWe derive various sharp upper bounds for the pp-capacity of a smooth compact set KK in the hyperbolic space Hn{{\mathbb{H}}}^{n} and the Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Haizhong, Li Ruixuan, Xiong Changwei
doaj +1 more source
Role of curvature in controlling SWBLI behavior in a hypersonic double ramp flow
Frontiers in Mechanical EngineeringHypersonic flows generate intense unsteady pressure and thermal loads, posing significant challenges for high-speed aerospace applications such as re-entry vehicles and hypersonic cruise systems.
Abhinav Aggarwal, Rajesh Ranjan
doaj +1 more source
Dynamics of convex mean curvature flow
Journal für die reine und angewandte Mathematik (Crelles Journal)Abstract There is an extensive and growing body of work analyzing convex ancient solutions to mean curvature flow (MCF), or equivalently of rescaled mean curvature flow (RMCF). The goal of this paper is to complement the existing literature, which analyzes ancient solutions one at a time, by considering the space 𝑋 of all convex ...
Sigurd Angenent +2 more
openaire +3 more sources
The mean curvature at the first singular time of the mean curvature flow
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2010 Consider a family of smooth immersions F( \cdot ,t):M^{n}\rightarrow \mathbb{R}^{n + 1} of closed hypersurfaces in \mathbb{R}^{n + 1} moving by the mean curvature flow \frac{\partial F(p,t)}{\partial t} = −
Le, Nam Q., Sesum, Natasa
openaire +2 more sources
Thrombolytic proteins profiling: High‐throughput activity, selectivity, and resistance assays
FEBS Open Bio, EarlyView.We present optimized biochemical protocols for evaluating thrombolytic proteins, enabling rapid and robust screening of enzymatic activity, inhibition resistance, and fibrin affinity, stimulation, and selectivity. The outcome translates to key clinical indicators such as biological half‐life and bleeding risk. These assays streamline the development of
Martin Toul +3 more
wiley +1 more source