Results 61 to 70 of about 2,059,946 (289)
Applications of Quaternionic Holomorphic Geometry to minimal surfaces
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.
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On the minimal surfaces of Riemann
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
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
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Disc stackings and their Morse index
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
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Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
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
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Physics-informed neural network solves minimal surfaces in curved spacetime
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
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
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
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Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network
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
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Emerging experimental and computational methods for studying redox‐regulated structural transitions
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
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Static elliptic minimal surfaces in $$\hbox {AdS}_4$$ AdS 4
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
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