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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
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Graphical translators for mean curvature flow [PDF]
Calculus of Variations and Partial Differential Equations, 2019 In the published version of the article, there was an incorrect reference, and, consequently, a correction appeared in a subsequent issue of the journal.
Hoffman, D. +3 more
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APPROXIMATION OF THE ANISOTROPIC MEAN CURVATURE FLOW [PDF]
Mathematical Models and Methods in Applied Sciences, 2007 In this paper, we provide simple proofs of consistency for two well-known algorithms for mean curvature motion, Almgren–Taylor–Wang's1 variational approach, and Merriman–Bence–Osher's algorithm.29 Our techniques, based on the same notion of strict sub- and superflows, also work in the (smooth) anisotropic case.
CHAMBOLLE A, NOVAGA, MATTEO
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Self-Expanders of the Mean Curvature Flow [PDF]
Vietnam Journal of Mathematics, 2021 AbstractWe study self-expanding solutions $M^{m}\subset \mathbb {R}^{n}$ M m ⊂ ℝ
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Lectures on mean curvature flow [PDF]
, 2014 A family of hypersurfaces evolves by mean curvature flow if the velocity at each point is given by the mean curvature vector. Mean curvature flow is the most natural evolution equation in extrinsic geometry, and has been extensively studied ever since ...
Haslhofer, Robert
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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
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The human gut microbiome across the life course
FEBS Letters, EarlyView.Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
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Lagrangian mean curvature flow with boundary
Calculus of Variations and Partial Differential Equations, 2022 We introduce Lagrangian mean curvature flow with boundary in Calabi--Yau manifolds by defining a natural mixed Dirichlet-Neumann boundary condition, and prove that under this flow, the Lagrangian condition is preserved. We also study in detail the flow of equivariant Lagrangian discs with boundary on the Lawlor neck and the self-shrinking Clifford ...
Evans, CG, Lambert, B, Wood, A
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Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
FEBS Letters, EarlyView.Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
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Uniqueness and Pseudolocality Theorems of the Mean Curvature Flow
, 2006 Mean curvature flow evolves isometrically immersed base manifolds $M$ in the direction of their mean curvatures in an ambient manifold $\bar{M}$. If the base manifold $M$ is compact, the short time existence and uniqueness of the mean curvature flow are ...
Chen, Bing-Long, Yin, Le
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