Results 121 to 130 of about 4,058,790 (257)

An efficient algorithm for computing anisotropic evolution by mean curvature

, 1995
A number of numerical simulations of surfaces evolving by mean curvature in anisotropic materials are presented and discussed. We approximate an evolution law based on an appropriate definition of anisotropic mean curvature. This is first regularized
Paolini, Maurizio
core  

Non-preserved curvature conditions under constrained mean curvature flows

We provide explicit examples which show that mean convexity (i.e. positivity of the mean curvature) and positivity of the scalar curvature are non-preserved curvature conditions for hypersurfaces of the Euclidean space evolving under either the volume ...
Miquel, Vicente, Cabezas-Rivas, Esther
core   +1 more source

p190A/ARHGAP35 and p190B/ARHGAP5 proteins in endometrial cancer: a novel cancer‐relevant paralog interplay

Molecular Oncology, EarlyView.
This study identifies ARHGAP5, in addition to the frequently mutated ARHGAP35, as significantly mutated in endometrial cancer. Mutations in both genes co‐occur and are associated with their correlated downregulation. Functional CRISPR studies show that both paralogs regulate similar pathways, including actin cytoskeleton organization.
Mathilde Pinault, Capucine Heraud, Mélissa Correia de Oliveira, Véronique Neaud, Valérie Valesco, Valérie Prouzet‐Mauleon, Béatrice Turcq, Jean‐William Dupuy, Anne‐Aurélie Raymond, Sabrina Croce, Frédéric Saltel, Valérie Lagrée, Violaine Moreau   +12 more
wiley   +1 more source

Embedded positive constant r-mean curvature hypersurfaces in Mm × R

Anais da Academia Brasileira de Ciências, 2005
Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m + 1)-dimensional product manifold M x R with positive constant r-mean curvature.
Cheng Xu, Rosenberg Harold
doaj  

Unique circulating miRNAome signatures captured with distinct molecular states in Lynch syndrome and sporadic colorectal cancer

Molecular Oncology, EarlyView.
Circulating microRNA profiles distinguish nonmalignant Lynch syndrome from cancer‐associated Lynch syndrome, sporadic colorectal cancer, and healthy controls. Age‐stratified analysis reveals disease‐specific regulatory states, and a six‐miRNA panel shows concordant separation in an independent colorectal tissue cohort.
Ramadhani Salum Chambuso, Md Shohel Ul Islam, Rosa M Xicola, Raj Ramesar, Xavier Llor, Sinclair Steele   +5 more
wiley   +1 more source

Higher regularity of the inverse mean curvature flow [PDF]

, 2008
We prove higher regularity properties of inverse mean curvature flow in Euclidean space: A sharp lower bound for the mean curvature is derived for star-shaped surfaces, independently of the initial mean curvature.
Huisken, G., Ilmanen, T.
core  

Concentrated Curvature for Mean Curvature Estimation in Triangulated Surfaces

, 2012
We present a mathematical result that allows computing the discrete mean curvature of a polygonal surface from the so-called concentrated curvature generally used for Gaussian curvature estimation.
Leila De Floriani, Paola Magillo, MAGILLO, PAOLA, DE FLORIANI, LEILA, Mohammed Mostefa Mesmoudi, M. M. Mesmoudi   +5 more
core   +1 more source

A class of Finsler metrics with isotropic mean Berwald curvature

, 2016
In this paper, we find a condition on (α, β)-metrics under which the notions of isotropic S-curvature, weakly isotropic S-curvature and isotropic mean Berwald curvature are ...
Tayebi, A., Najafi, B.
core   +1 more source

Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form

Mathematics
In the present paper, we investigate some pinching inequalities on the scalar curvature of a totally real submanifold in quaternionic space form that leads to a topological conclusion of the submanifold. In addition, we construct another inequality which
Fatimah Alghamdi, Akram Ali
doaj   +1 more source

Mutant p53R273H disrupts PDPK1 homodimerization and contributes to PDPK1 activation

Molecular Oncology, EarlyView.
How mutant p53R273H drives AKT signaling is unclear. We show that p53R273H, but not wild‐type, directly binds PDPK1 via a mutation‐dependent conformational change. This interaction disrupts inhibitory PDPK1 homodimerization and enhances AKT phosphorylation.
Mei Chee Lim, Alvin Kunyao Guo, Yoko Itahana, Srinivasaraghavan Kannan, Valerie Goh, Mingmin Ong, Terina Yan Wen Tay, Weiying Ye, Sabhashina Radha Krishnan, Jun Nishiyama, Chandra S Verma, Koji Itahana   +11 more
wiley   +1 more source