Results 61 to 70 of about 5,469,641 (325)

A general halfspace theorem for constant mean curvature surfaces

open access: yes, 2011
In this paper, we prove a general halfspace theorem for constant mean curvature surfaces. Under certain hypotheses, we prove that, in an ambient space M^3, any constant mean curvature H_0 surface on one side of a constant mean curvature H_0 surface ...
Mazet, Laurent
core   +4 more sources

From lactation to malignancy: A comparison between healthy and cancerous breast gland at single‐cell resolution reveals new issues for tumorigenesis

open access: yesFEBS Letters, EarlyView.
Single‐cell RNA sequencing reveals an opposite role of SLPI in basal tumors based on metastatic spread, along with shared activation of specific regulons in cancer cells and mature luminal lactocytes, as well as downregulation of MALAT1 and NEAT1 in the latter.
Pietro Ancona   +4 more
wiley   +1 more source

The Weighted Mean Curvature Derivative of a Space-Filling Diagram

open access: yesComputational and Mathematical Biophysics, 2020
Representing an atom by a solid sphere in 3-dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its motion subject to bonds and other forces, including the solvation free energy ...
Akopyan Arsenyi, Edelsbrunner Herbert
doaj   +1 more source

Mean curvature flows and isotopy problems [PDF]

open access: yes, 2012
In this note, we discuss the mean curvature flow of graphs of maps between Riemannian manifolds. Special emphasis will be placed on estimates of the flow as a non-linear parabolic system of differential equations.
Wang, Mu-Tao
core  

The mean curvature of cylindrically bounded submanifolds

open access: yes, 2009
We give an estimate of the mean curvature of a complete submanifold lying inside a closed cylinder $B(r)\times\R^{\ell}$ in a product Riemannian manifold $N^{n-\ell}\times\R^{\ell}$.
A. Grigor’yan   +13 more
core   +1 more source

Constant mean curvature spheres in homogeneous three-manifolds [PDF]

open access: yesInventiones Mathematicae, 2017
We prove that two spheres of the same constant mean curvature in an arbitrary homogeneous three-manifold only differ by an ambient isometry, and we determine the values of the mean curvature for which such spheres exist.
W. Meeks   +3 more
semanticscholar   +1 more source

Imeglimin attenuates liver fibrosis by inhibiting vesicular ATP release from hepatic stellate cells

open access: yesFEBS Letters, EarlyView.
Imeglimin, at clinically relevant concentrations, inhibits vesicular ATP accumulation and release from hepatic stellate cells, thereby attenuating purinergic signaling and reducing fibrogenic activation. This mechanism reveals a newly identified antifibrotic action of imeglimin beyond glycemic control.
Seiji Nomura   +8 more
wiley   +1 more source

Helicoidal surfaces with constant anisotropic mean curvature

open access: yes, 2010
We study surfaces with constant anisotropic mean curvature which are invariant under a helicoidal motion. For functionals with axially symmetric Wulff shapes, we generalize the recently developed twizzler representation of Perdomo to the anisotropic case
Bennett Palmer   +4 more
core   +1 more source

RAD50 missense variants differentially affect the DNA damage response and mitotic progression

open access: yesFEBS Letters, EarlyView.
RAD50 incorporates into the MRN complex and initiates the DNA damage response. Furthermore, RAD50 promotes mitotic progression. RAD50 missense variants capable of forming an MRN complex supported the DNA damage response and mitotic features to different extents in complementation experiments, indicating these functions are separable and might impact ...
Hanna Redeker   +9 more
wiley   +1 more source

Submanifolds of Euclidean space with parallel mean curvature vector

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle.
Tahsin Ghazal, Sharief Deshmukh
doaj   +1 more source

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