Results 111 to 120 of about 5,561,344 (365)
Mean curvature flow without singularities
, 2012 We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow.
Schnürer, Oliver C. +1 more
core
Mean curvature blow up in mean curvature flow
, 2009 In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds are characterised by the blow up of the mean curvature.
openaire +2 more sources
Graphs with Parallel Mean Curvature [PDF]
Proceedings of the American Mathematical Society, 1989 We prove that if the graph Γ f = { ( x , f ( x ) ) :
openaire +1 more source
FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
Convergence rate of the weighted conformal mean curvature flow
Analysis and Geometry in Metric SpacesIn this article, we study the convergence rate of the following Yamabe-type flow Rϕ(t)m=0inMand∂∂tg(t)=2(hϕ(t)m−Hϕ(t)m)g(t)∂∂tϕ(t)=m(Hϕ(t)m−hϕ(t)m)on∂M{R}_{\phi \left(t)}^{m}=0\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}M\hspace ...
Hamanaka Shota, Tung Ho Pak
doaj +1 more source
Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus [PDF]
, 2023 Daniele De Gennaro +3 more
openalex +1 more source
Cell wall target fragment discovery using a low‐cost, minimal fragment library
FEBS Letters, EarlyView.LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan +5 more
wiley +1 more source
FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1
Molecular Oncology, EarlyView.Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero +8 more
wiley +1 more source
Formal asymptotic expansions for symmetric ancient ovalsin mean curvature flow
Networks and Heterogeneous Media, 2013 We provide formal matched asymptotic expansions for ancient convex solutions to MCF. The formal analysis leading to the solutions is analogous to that for the generic MCF neck pinch in [1].
Sigurd Angenent
doaj +1 more source