Results 51 to 60 of about 528,992 (279)

Hyperbolic inverse mean curvature flow [PDF]

Czechoslovak Mathematical Journal, 2019
In this paper, we prove the short-time existence of hyperbolic inverse (mean) curvature flow (with or without the specified forcing term) under the assumption that the initial compact smooth hypersurface of $\mathbb{R}^{n+1}$ ($n\geqslant2$) is mean convex and star-shaped.
Mao, Jing, Wu, Chuan-Xi, Zhou, Zhe
openaire   +3 more sources

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Submanifolds of Euclidean space with parallel mean curvature vector

International 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

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

The mean curvature flow for isoparametric submanifolds

, 2019
A submanifold in space forms is isoparametric if the normal bundle is flat and principal curvatures along any parallel normal fields are constant. We study the mean curvature flow with initial data an isoparametric submanifold in Euclidean space and ...
Liu, Xiaobo, Terng, Chuu-Lian
core   +1 more source

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

FEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka, Yuxi Liu, Stefano Maggi, Debnath Ghosal, Jue Wang, Prashant P. Damke, Stephen D. Carter, Wei Zhao, Sukhithasri Vijayrajratnam, Joseph P. Vogel, Carrie L. Shaffer, Grant J. Jensen   +11 more
wiley   +1 more source

Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow

Discrete Dynamics in Nature and Society, 2020
In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
doaj   +1 more source

Dirichlet sigma models and mean curvature flow

, 2007
The mean curvature flow describes the parabolic deformation of embedded branes in Riemannian geometry driven by their extrinsic mean curvature vector, which is typically associated to surface tension forces. It is the gradient flow of the area functional,
A. Adams, A. Khare, A.B. Zamolodchikov, A.M. Polyakov, B. Chow, B.C. Low, B.C. Low, C. Bachas, Christos Sourdis, D. Kutasov, D.E. Khmel'nitskii, G. Huisken, G. Huisken, G. Perelman, G. Perelman, G. Perelman, H. Bray, H.-D. Cao, I. Bakas, I. Bakas, I. Bakas, Ioannis Bakas, J.W. Dabrowska, K. Brakke, K. Ecker, K. Ecker, K. Hashimoto, K.-S. Chou, L. Eisenhart, L. Kauffman, M. Gage, M. Grayson, M. Gutperle, M.R. Gaberdiel, N. Hungerbühler, N. Wyllard, R. Hamilton, R. Hamilton, R. Hamilton, R. Hamilton, S. Altschuler, S. Angenent, S. Angenent, S. Smith, S.L. Lukyanov, S.L. Lukyanov, T. Kwok-Keung Au, U. Abresch, V.A. Fateev, V.G. Knizhnik, V.S. Rychkov, W. Magnus, X.-P. Zhu   +52 more
core   +1 more source

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

FEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva, Puspa Kunwar, Md Ibnul Rifat Rahman, Joanna Koryo Kwao, Nathan Lehman, Zihan Zhang, Trenton Paul, Claire Cheng, Nicholas Truex, Hui‐Ting Lee, Jun Zhang   +10 more
wiley   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

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, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source