Results 51 to 60 of about 265,786 (329)

Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow

European Journal of Applied Mathematics
The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen–Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models and prove convergence using relative ...
Tim Laux, Kerrek Stinson, Clemens Ullrich   +2 more
doaj   +1 more source

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

Clinical Characteristics and Prognostic Risk Factors for Pediatric B‐Cell Lymphoblastic Lymphoma: A Multicenter Retrospective Cohort Study for China Net Childhood Lymphoma

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background B‐cell lymphoblastic lymphoma (B‐LBL) represents a rare variety of non‐Hodgkin lymphoma, with limited research on its biology, progression, and management. Methods A retrospective analysis was performed on the clinical characteristics of 256 patients aged ≤18 years who received treatment under the China Net Childhood Lymphoma (CNCL)‐
Zhijuan Liu, Jian Wang, Ling Jin, Yanlong Duan, Fu Li, Yueping Jia, Leping Zhang, Xiaojun Yuan, Wei Liu, Ying Liu, Ansheng Liu, Mincui Zheng, Yunpeng Dai, Lian Jiang, Lirong Sun, Xiaowen Zhai, Rong Liu, Chunju Zhou, Zifen Gao, Yonghong Zhang, Xiaomei Yang   +20 more
wiley   +1 more source

Combined Effects of Flow Diverting Strategies and Parent Artery Curvature on Aneurysmal Hemodynamics: A CFD Study.

PLoS ONE, 2015
PurposeFlow diverters (FD) are increasingly being considered for treating large or giant wide-neck aneurysms. Clinical outcome is highly variable and depends on the type of aneurysm, the flow diverting device and treatment strategies.
Jinyu Xu, Zhichen Wu, Ying Yu, Nan Lv, Shengzhang Wang, Christof Karmonik, Jian-Min Liu, Qinghai Huang   +7 more
doaj   +1 more source

Predicting the Future Burden of Renal Replacement Therapy in Türkiye Using National Registry Data and Comparative Modeling Approaches

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic kidney disease is a growing public health problem worldwide, and the number of patients requiring renal replacement therapy is steadily increasing. Türkiye has experienced a similar rise in both the incidence and prevalence of renal replacement therapy over the past decades; however, national‐level projections of future ...
Arzu Akgül, Neriman Sıla Koç, Berrak Itır Aylı   +2 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

Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow

Open Mathematics, 2020
In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
doaj   +1 more source

A local regularity theorem for mean curvature flow with triple edges

, 2017
Mean curvature flow of clusters of n-dimensional surfaces in R^{n+k} that meet in triples at equal angles along smooth edges and higher order junctions on lower dimensional faces is a natural extension of classical mean curvature flow.
Schulze, Felix, White, Brian
core   +1 more source

Peptide‐based ligand antagonists block a Vibrio cholerae adhesin

FEBS Letters, EarlyView.
The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang, Grace Du, Charity Yongo‐Luwawa, Angelina Lu, Brett Kinrade, Kim Munro, Karl E. Klose, William D. Lubell, Peter Davies, Shuaiqi Guo   +9 more
wiley   +1 more source