Results 71 to 80 of about 5,400,024 (317)
Mean Curvature Skeletons [PDF]
Computer Graphics Forum, 2012 AbstractInspired by recent developments in contraction‐based curve skeleton extraction, we formulate the skeletonization problem via mean curvature flow (MCF). While the classical application of MCF is surface fairing, we take advantage of its area‐minimizing characteristic to drive the curvature flow towards the extreme so as to collapse the input ...
Matt Olson +3 more
openaire +2 more sources
FEBS 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
Neckpinch singularities in fractional mean curvature flows [PDF]
, 2016 In this paper we consider the evolution of boundaries of sets by a fractional mean curvature flow. We show that for any dimension n >= 2, there exist embedded hypersurfaces in Rn which develop a singularity without shrinking to a point. Such examples are
E. Cinti, C. Sinestrari, E. Valdinoci
semanticscholar +1 more source
Cell‐free DNA aneuploidy score as a dynamic early response marker in prostate cancer
Molecular Oncology, EarlyView.mFast‐SeqS‐based genome‐wide aneuploidy scores are concordant with aneuploidy scores obtained by whole genome sequencing from tumor tissue and can predict response to ARSI treatment at baseline and, at an early time point, to ARSI and taxanes. This assay can be easily performed at low cost and requires little input of cfDNA. Cell‐free circulating tumor
Khrystany T. Isebia +17 more
wiley +1 more source
On stable constant mean curvature surfaces with free boundary [PDF]
, 2016 Ros and Vergasta (Geom Dedicata 56:19–33, 1995) proved, among others interesting results, a theorem which states that an immersed orientable compact stable constant mean curvature surface $$\Sigma $$Σ with free boundary in a closed ball $$B\subset ...
Ivaldo Nunes
semanticscholar +1 more source
Mean curvature and the heat equation
Mathematische Zeitschrift, 1994 Let \(D\) be an open, bounded and connected set in Euclidean space \(\mathbb{R}^ m\) \((m = 2,3,\dots)\) with a \(C^ 3\) boundary \(\partial D\). Suppose \(D\) has temperature 1 at time \(t = 0\), while \(\partial D\) is kept at temperature 0 for all time \(t > 0\). Let \(Q_ D(t)\) denote the amount of heat in \(D\) at time \(t\).
Berg, M. van den, Le Gall, J.F.
openaire +2 more sources
Molecular Oncology, EarlyView.Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka +10 more
wiley +1 more source
Isoperimetric properties of the mean curvature flow [PDF]
, 2015 In this paper we discuss a simple relation, which was previously missed, between the high co-dimensional isoperimetric problem of finding a filling with small volume to a given cycle, and extinction estimates for singular, high co-dimensional, mean ...
Hershkovits, Or
core
Some results on anisotropic fractional mean curvature flows [PDF]
, 2016 We show the consistency of a threshold dynamics type algorithm for the anisotropic motion by fractional mean curvature, in the presence of a time dependent forcing term.
A. Chambolle, M. Novaga, B. Ruffini
semanticscholar +1 more source
Molecular Oncology, EarlyView.Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley +1 more source