Results 11 to 20 of about 102,332 (240)
Compact Curve Shortening Flow Solutions Out of Non-Compact Curves
International Mathematics Research Notices, 2023 Abstract We construct a slingshot, that is a compact, embedded solution to curve shortening flow that comes out of a non compact curve and exists for a finite time.
Bourni, Theodora, Reiris, Martin
openaire +3 more sources
An inequality for the minimum affine curvature of a plane curve
Comptes Rendus. Mathématique, 2020 As an application of the affine curve shortening flow, we will prove an inequality for minimum affine curvature of a smooth simple closed curve in the Euclidean plane.
Yang, Yunlong
doaj +1 more source
ESC Heart Failure, 2021 Aims Percutaneous veno‐arterial extracorporeal membrane oxygenation (VA‐ECMO) is utilized for patients with cardiogenic shock or cardiac arrest. However, the procedure protocol for weaning from VA‐ECMO has not been well established.
Kenichiro Sawada +13 more
doaj +1 more source
Evaluation of dual‐energy and perfusion CT parameters for diagnosing solitary pulmonary nodules
Thoracic Cancer, 2021 Background To evaluate the correlation and accuracy of dual‐energy CT (DECT) (70/Sn150) and low‐dose volume perfusion CT (VPCT) parameters for the diagnosis of solitary pulmonary nodules (SPN). Methods A total of 15 patients with benign SPN (mean age 56 ±
Beilin Zhu +3 more
doaj +1 more source
Frontiers in Medicine, 2022 BackgroundExtubation failure is common in critically ill patients, especially those with high-risk factors, and is associated with poor prognosis. Prophylactic use of oxygen therapy after extubation has been gradually introduced.
Xiaozhuo Zheng +5 more
doaj +1 more source
BMC Cancer, 2021 Background Re-excision rates following breast conserving surgery (BCS) remain as high as ~ 35%, with positive margins detected during follow-up histopathology.
Broderick J. House +6 more
doaj +1 more source
Intensive Care Medicine Experimental, 2021 Background Cerebral vasospasm (VS) and delayed cerebral ischemia (DCI) constitute major complications following subarachnoid hemorrhage (SAH). A few studies have examined the relationship between different indices of cerebrovascular dynamics with the ...
Vasilios E. Papaioannou +5 more
doaj +1 more source
On Approximations of the Curve Shortening Flow and of the Mean Curvature Flow based on the DeTurck trick [PDF]
, 2016 In this paper we discuss novel numerical schemes for the computation of the curve shortening and mean curvature flows that are based on special reparametrizations.
Elliott, Charles M., Fritz, Hans
core +2 more sources
CURVATURE-TORSION ENTROPY FOR TWISTED CURVES UNDER CURVE SHORTENING FLOW
Bulletin of the Australian Mathematical Society, 2023 AbstractWe study curve-shortening flow for twisted curves in $\mathbb {R}^3$ (that is, curves with nowhere vanishing curvature $\kappa $ and torsion $\tau $ ) and define a notion of torsion-curvature entropy. Using this functional, we show that either the curve develops an inflection point or the eventual singularity is highly irregular (and ...
openaire +3 more sources
Grid peeling and the affine curve-shortening flow [PDF]
Experimental Mathematics, 2018 18 pages, 11 figures.
David Eppstein +2 more
openaire +3 more sources