Results 71 to 80 of about 3,233,557 (302)

Spacelike Mean Curvature Flow [PDF]

open access: yesThe Journal of Geometric Analysis, 2019
AbstractWe prove long-time existence and convergence results for spacelike solutions to mean curvature flow in the pseudo-Euclidean space$$\mathbb {R}^{n,m}$$Rn,m, which are entire or defined on bounded domains and satisfying Neumann or Dirichlet boundary conditions. As an application, we prove long-time existence and convergence of the$${{\,\mathrm{G}\
Ben Lambert, Jason D. Lotay
openaire   +4 more sources

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

open access: yesFEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa   +2 more
wiley   +1 more source

A survey on Inverse mean curvature flow in ROSSes

open access: yesComplex Manifolds, 2017
In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces.
Pipoli Giuseppe
doaj   +1 more source

A new type of canal surface in Euclidean 4-space E^4

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
Bu çalışmada, E^4 4-boyutlu Öklid uzayında, merkez eğrisinin paralel öteleme çatısı vektörleri yardımıyla tanımlanan kanal yüzeyini örneği ile verdik.
Günay Öztürk   +2 more
doaj   +1 more source

Twisted Hypersurfaces in Euclidean 5-Space

open access: yesMathematics, 2023
The twisted hypersurfaces x with the (0,0,0,0,1) rotating axis in five-dimensional Euclidean space E5 is considered. The fundamental forms, the Gauss map, and the shape operator of x are calculated.
Yanlin Li, Erhan Güler
doaj   +1 more source

Identification of a Shiga toxin A‐derived peptide internalized into Gb3 receptor‐bearing cells via interaction with the Shiga toxin B subunit

open access: yesFEBS Letters, EarlyView.
The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi   +6 more
wiley   +1 more source

MCnet: A Neural Network Method for Mean Curvature Optimization on Image Surfaces

open access: yesIEEE Access
Mean curvature is fundamentally important for various research fields, including differential geometry in mathematics, cell membrane modeling in biophysics and image processing in computer vision.
Zhili Wei, Wenming Tang, Yuanhao Gong
doaj   +1 more source

On the evolution by fractional mean curvature

open access: yes, 2019
In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a comparison principle and consequences such as uniqueness and finite extinction time for compact solutions.
Sáez, Mariel, Valdinoci, Enrico
core   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

open access: yesFEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj   +3 more
wiley   +1 more source

An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes

open access: yesFEBS Letters, EarlyView.
GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg   +14 more
wiley   +1 more source

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