Results 321 to 330 of about 577,330 (363)

Retinal features as predictive indicators for high myopia: insights from explainable multi-machine learning models. [PDF]

Front Bioeng Biotechnol
Zou H, Liu J, Shi S, Ling S, Fan Q, Huo Y, Dong Z, Han G, Wang S, Wang Y.   +9 more
europepmc   +1 more source

A study of association of ocular biometric parameters with various grades of diabetic macular edema and severity of diabetic retinopathy. [PDF]

J Family Med Prim Care
Kataria P, Sethi NK, Brar GK, Singh N, Bagga M, Chadha C.   +5 more
europepmc   +1 more source

Going around the bend to understand the role of leg coalescence in metachronal swimming.

J Exp Biol
Tack NB, Santos SO, Wilhelmus MM.
europepmc   +1 more source

On the Mean Curvature Flow.

openaire   +1 more source

MAP65-1/PRC1 reinforces microtubules through nucleation

Romeiro Motta M, Grisam C, Grünewald M, König B, Meißner L, Niese L, Diez S, Hamant O, Schaedel L.   +8 more
europepmc   +1 more source

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Mean Curvature Flow

, 2020
Mean curvature flow is the negative gradient flow of volume, so any hypersurface flows through hypersurfaces in the direction of steepest descent for volume and eventually becomes extinct in finite time. Before it becomes extinct, topological changes can
S. Esedoglu
semanticscholar   +2 more sources

Isoperimetry and the properness of weak inverse mean curvature flow

Calculus of Variations and Partial Differential Equations, 2023
We prove a new existence theorem for proper solutions of Huisken and Ilmanen’s weak inverse mean curvature flow, assuming certain non-degeneracy conditions on the isoperimetric profile.
Kai Xu
semanticscholar   +1 more source

Isoparametric Hypersurfaces of Riemannian Manifolds as Initial Data for the Mean Curvature Flow

Results in Mathematics, 2022
We show that the evolution of isoparametric hypersurfaces of Riemannian manifolds by the mean curvature flow is given by a reparametrization of the parallel family in short time, as long as the uniqueness of the mean curvature flow holds for the initial ...
Felippe Guimarães, João Batista Marques dos Santos, J. P. dos Santos   +2 more
semanticscholar   +1 more source

Collapsing ancient solutions of mean curvature flow

Journal of differential geometry, 2021
We construct a compact, convex ancient solution of mean curvature flow in $\mathbb{R}^{n+1}$ with $O(1) \times O(n)$ symmetry that lies in a slab of width $\pi$.
T. Bourni, Mathew T. Langford, G. Tinaglia   +2 more
semanticscholar   +1 more source

On Brakke’s mean curvature flow

Sugaku Expositions, 2022
The article represents an excellent exposition of a fascinating, resurgent field of research, by one of the main researchers in the domain. It starts from the basic physical intuition and motivation, proceeds through essential background material, such as the mean curvature flow, as well as crucial definitions and tools from geometric measure theory ...
openaire   +1 more source