Results 61 to 70 of about 703,577 (334)
Coplanar constant mean curvature surfaces
, 2007 We consider constant mean curvature surfaces of finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were constructed and completely classified by the authors in arXiv:math.DG/0102183.
Grosse-Brauckmann, Karsten +2 more
core +3 more sources
On the extension of the mean curvature flow [PDF]
Mathematische Zeitschrift, 2009 Consider a family of smooth immersions $F(\cdot,t): M^n\to \mathbb{R}^{n+1}$ of closed hypersurfaces in $\mathbb{R}^{n+1}$ moving by the mean curvature flow $\frac{\partial F(p,t)}{\partial t} = -H(p,t)\cdot (p,t)$, for $t\in [0,T)$. In \cite{Cooper} Cooper has recently proved that the mean curvature blows up at the singular time $T$. We show that if
Nam Q. Le, Natasa Sesum, Natasa Sesum
openaire +3 more sources
Functional variation among LPMOs revealed by the inhibitory effects of cyanide and buffer ions
FEBS Letters, EarlyView.This study addresses the inhibition of lytic polysaccharide monooxygenases (LPMOs) by cyanide and explains how and why the magnitude of observed inhibitory effects depends on the way LPMO reactions are setup and on the type of LPMO. Enzymes known as lytic polysaccharide monooxygenases (LPMOs) are mono‐copper polysaccharide‐degrading peroxygenases that ...
Ole Golten +10 more
wiley +1 more source
Topological Change in Mean Convex Mean Curvature Flow
, 2013 Consider the mean curvature flow of an (n+1)-dimensional, compact, mean convex region in Euclidean space (or, if ...
A. Hatcher +11 more
core +1 more source
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Curvature estimates of ancient solutions to the mean curvature flow of higher codimension with convex Gauss image [PDF]
arXiv, 2023 By carrying out refined curvature estimates, we prove better rigidity theorems of complete noncompact ancient solutions to the mean curvature flow in higher codimension under various Gauss image restriction.
arxiv
FEBS Letters, EarlyView.α2 → 8 polysialic acid elicits poor immunogenicity. Small‐angle scattering shows a supramolecular structure with parallel‐chain binding, although in different forms at μm and mm calcium. The major histocompatibility complex requires molecular weights around 2000 Da to produce antibodies, and 2000 Da polysialic oligomers will bind in these structures ...
Kenneth A. Rubinson
wiley +1 more source
Constant mean curvature surfaces with circular boundary in R³
Anais da Academia Brasileira de Ciências, 2006 In this work we deal with surfaces immersed in R³ with constant mean curvature and circular boundary. We improve some global estimates for area and volume of such immersions obtained by other authors.
Pedro A. Hinojosa
doaj +1 more source
Communications in Contemporary Mathematics, 2019 The skew mean curvature flow (SMCF), which origins from the study of fluid dynamics, describes the evolution of a codimension two submanifold along its binormal direction. We study the basic properties of the SMCF and prove the existence of a short-time solution to the initial value problem of the SMCF of compact surfaces in Euclidean space [Formula ...
Chong Song, Jun Sun
openaire +3 more sources
Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients
Molecular Oncology, EarlyView.Small cell lung cancer (SCLC) is an aggressive form of lung cancer that spreads rapidly to secondary sites such as the brain and liver. Cancer cells circulating in the blood, “circulating tumor cells” (CTCs), have demonstrated prognostic value in SCLC, and evaluating biomarkers on CTCs could guide treatment decisions such as for PARP inhibitors ...
Prajwol Shrestha +6 more
wiley +1 more source