Results 61 to 70 of about 2,059,946 (289)

Applications of Quaternionic Holomorphic Geometry to minimal surfaces

open access: yesComplex Manifolds, 2016
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications of the theory to minimal surfaces. We discuss recent developments in minimal surface theory using integrable systems.
Leschke K., Moriya K.
doaj   +1 more source

On the minimal surfaces of Riemann

open access: yesCommentarii Mathematici Helvetici, 1992
Let \(\gamma_ 1\), \(\gamma_ 2\) be plane Jordan curves in horizontal planes \(P_ 1\), \(P_ 2\) of \(\mathbb{R}^ 3\). It is known, under simple conditions on \(\gamma_ 1\) and \(\gamma_ 2\), that they bound a least area minimal annulus between \(P_ 1\) and \(P_ 2\). \textit{W. H. Meeks III} and \textit{R. White} [Bull. Am. Math. Soc., New Ser.
openaire   +2 more sources

Structure‐forward targeting of claudins with synthetic binders

open access: yesFEBS Letters, EarlyView.
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley   +1 more source

Disc stackings and their Morse index

open access: yesAdvanced Nonlinear Studies
We construct free boundary minimal disc stackings, with any number of strata, in the three-dimensional Euclidean unit ball, and prove uniform, linear lower and upper bounds on the Morse index of all such surfaces. Among other things, our work implies for
Carlotto Alessandro   +2 more
doaj   +1 more source

Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics

open access: yesFEBS Letters, EarlyView.
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt   +8 more
wiley   +1 more source

Physics-informed neural network solves minimal surfaces in curved spacetime

open access: yesMachine Learning: Science and Technology
We develop a flexible framework based on physics-informed neural networks for solving boundary value problems involving minimal surfaces in curved spacetimes, with a particular emphasis on singularities and moving boundaries.
Koji Hashimoto   +4 more
doaj   +1 more source

Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation

open access: yesFEBS Letters, EarlyView.
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang   +2 more
wiley   +1 more source

Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network

open access: yesFEBS Letters, EarlyView.
Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
wiley   +1 more source

Emerging experimental and computational methods for studying redox‐regulated structural transitions

open access: yesFEBS Letters, EarlyView.
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass   +2 more
wiley   +1 more source

Static elliptic minimal surfaces in $$\hbox {AdS}_4$$ AdS 4

open access: yesEuropean Physical Journal C: Particles and Fields, 2017
The Ryu–Takayanagi conjecture connects the entanglement entropy in the boundary CFT to the area of open co-dimension two minimal surfaces in the bulk. Especially in $$\hbox {AdS}_4$$ AdS 4 , the latter are two-dimensional surfaces, and, thus, solutions ...
Georgios Pastras
doaj   +1 more source

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