Results 41 to 50 of about 265,786 (329)
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background/Objectives Osteosarcoma is a radioresistant tumor that may benefit from stereotactic body radiation therapy (SBRT) for locoregional control in metastatic/recurrent disease. We report institutional practice patterns, outcomes, toxicity, and failures in osteosarcoma patients treated with SBRT.
Jenna Kocsis +13 more
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The extension and convergence of mean curvature flow in higher codimension [PDF]
, 2011 In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension $d\geq1$, which generalizes the extension theorem for the mean curvature flow of ...
Liu, Kefeng +3 more
core
Is mean curvature flow a gradient flow?
, 2023 It is well-known that the mean curvature flow is a formal gradient flow of the perimeter functional. However, by the work of Michor and Mumford [7,8], the formal Riemannian structure that is compatible with the gradient flow structure induces a degenerate metric on the space of hypersurfaces.
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Mean curvature flow of spacelike graphs [PDF]
Mathematische Zeitschrift, 2010 version 5: Math.Z (online first 30 July 2010). version 4: 30 pages: we replace the condition $K_1\geq 0$ by the the weaker one $Ricci_1\geq 0$. The proofs are essentially the same. We change the title to a shorter one.
Li, Guanghan, Salavessa, Isabel M. C.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser +6 more
wiley +1 more source
Mean Curvature Type Flow with Perpendicular Neumann Boundary Condition inside a Convex Cone
Abstract and Applied Analysis, 2014 We investigate the evolution of hypersurfaces with perpendicular Neumann boundary condition under mean curvature type flow, where the boundary manifold is a convex cone.
Fangcheng Guo, Guanghan Li, Chuanxi Wu
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Mathematical and Computational Applications, 2019 We study a variational problem for hypersurfaces in the Euclidean space with an anisotropic surface energy. An anisotropic surface energy is the integral of an energy density that depends on the surface normal over the considered hypersurface, which was ...
Miyuki Koiso
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Mean curvature flow of monotone Lagrangian submanifolds
, 2006 We use holomorphic disks to describe the formation of singularities in the mean curvature flow of monotone Lagrangian submanifolds in $\mathbb C^{n}$.Comment: 37 pages, 3 ...
G. Huisken +13 more
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Highly degenerate harmonic mean curvature flow [PDF]
Calculus of Variations and Partial Differential Equations, 2008 We study the evolution of a weakly convex surface $ _0$ in $\R^3$ with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal regularity of the surface and we show that the boundaries of the flat sides evolve by the curve shortening flow.
Caputo, M. C., Daskalopoulos, P.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Neuroblastoma (NB) with central nervous system (CNS) metastases is rare at diagnosis, but occurs more often during relapse/progression. Patients with CNS metastases face a dismal prognosis, with no standardized curative treatment available.
Vicente Santa‐Maria Lopez +13 more
wiley +1 more source