Results 51 to 60 of about 2,059,946 (289)
Minimal surfaces in euclidean 3-space and their mean curvature 1 cousins in hyperbolic 3-space
We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surface in euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensional hyperbolic space, with properly embedded annular ends, extend ...
Shoichi Fujimori
doaj +1 more source
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
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
Optimal control, construction, and analysis of λ-Bernstein Bézier surfaces for quasi-harmonic functional [PDF]
In this article, we investigate a novel construction scheme for λ-Bernstein Bézier surfaces and illustrate it with biquadratic and bicubic cases to demonstrate their geometric characteristics and their applications.
Buttar Mariyam Ehsan, Ahmad Daud
doaj +1 more source
Investigating transcription factor dynamics in health and disease using FRAP
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
Regularity properties of nonlocal minimal surfaces via limiting arguments
We prove an improvement of flatness result for nonlocal minimal surfaces which is independent of the fractional parameter s when s → 1 -.As a consequence, we obtain that all the nonlocal minimal cones are flat and that all the nonlocal minimal surfaces ...
Caffarelli, Luis +5 more
core +1 more source
Discrete projective minimal surfaces [PDF]
We propose a natural discretisation scheme for classical projective minimal surfaces. We follow the classical geometric characterisation and classification of projective minimal surfaces and introduce at each step canonical discrete models of the ...
McCarthy, Alan, Schief, Wolfgang K
core +2 more sources
The Adjunction Inequality for Weyl-Harmonic Maps
In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the ...
Ream Robert
doaj +1 more source
Some examples of algebraic surfaces with canonical map of degree 20
In this note, we construct two minimal surfaces of general type with geometric genus $ p_g = 3 $, irregularity $ q = 0 $, self-intersection of the canonical divisor $ K^2 = 20, 24 $ such that their canonical map is of degree $ 20 $.
Bin, Nguyen
doaj +1 more source
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source

