Results 31 to 40 of about 97,608 (251)

Loss of regularity for Kolmogorov equations [PDF]

, 2015
The celebrated H\"{o}rmander condition is a sufficient (and nearly necessary) condition for a second-order linear Kolmogorov partial differential equation (PDE) with smooth coefficients to be hypoelliptic.
Hairer, Martin, Hutzenthaler, Martin, Jentzen, Arnulf   +2 more
core   +3 more sources

Video Interpolation using Optical Flow and Laplacian Smoothness

, 2016
Non-rigid video interpolation is a common computer vision task. In this paper we present an optical flow approach which adopts a Laplacian Cotangent Mesh constraint to enhance the local smoothness.
Cosker, Darren, Li, Wenbin
core   +1 more source

The second order modulus revisited: remarks, applications, problems

Journal of Numerical Analysis and Approximation Theory
Several questions concerning the second order modulus of smoothness are addressed in this note. The central part is a refined analysis of a construction of certain smooth functions by Zhuk and its application to several problems in approximation theory,
Heiner Gonska, Ralitza K. Kovacheva
doaj   +1 more source

Potential therapeutic targeting of BKCa channels in glioblastoma treatment

Molecular Oncology, EarlyView.
This review summarizes current insights into the role of BKCa and mitoBKCa channels in glioblastoma biology, their potential classification as oncochannels, and the emerging pharmacological strategies targeting these channels, emphasizing the translational challenges in developing BKCa‐directed therapies for glioblastoma treatment.
Kamila Maliszewska‐Olejniczak, Karolina Pytlak, Sandra Jaworowska, Bogusz Kulawiak, Piotr Bednarczyk   +4 more
wiley   +1 more source

An axisymmetric evolution code for the Einstein equations on hyperboloidal slices

, 2010
We present the first stable dynamical numerical evolutions of the Einstein equations in terms of a conformally rescaled metric on hyperboloidal hypersurfaces extending to future null infinity.
Arnowitt R, Briggs W L amd Henson V E, Buchman L T, Buchman L T, Choptuik M W, Dafermos M Rodnianski I, Deadman E, Frauendiener J, Hearn A C, Kreiss H O, Moncrief V, Oliver Rinne, Press W H, Reisswig C Bishop N T Pollney D Szilágyi B, Rinne O, Rinne O, Rinne O, Sarbach O, Szabados L B, Winicour J, York Jr J W, Zenginoğlu A, Zenginoğlu A, Zenginoğlu A, Zenginoğlu A   +24 more
core   +2 more sources

Dammarenediol II enhances etoposide‐induced apoptosis by targeting O‐GlcNAc transferase and Akt/GSK3β/mTOR signaling in liver cancer

Molecular Oncology, EarlyView.
Etoposide induces DNA damage, activating p53‐dependent apoptosis via caspase‐3/7, which cleaves PARP1. Dammarenediol II enhances this apoptotic pathway by suppressing O‐GlcNAc transferase activity, further decreasing O‐GlcNAcylation. The reduction in O‐GlcNAc levels boosts p53‐driven apoptosis and influences the Akt/GSK3β/mTOR signaling pathway ...
Jaehoon Lee, Byung‐Cheol Han, Gi‐Bang Koo, Jihye Park, Mijin Kwon, Young Bin Park, Jae‐Mun Choi, Seung‐Ho Lee, Sangho Roh   +8 more
wiley   +1 more source

Multivariate Perturbed Hyperbolic Tangent-Activated Singular Integral Approximation

Mathematics
Here we study the quantitative multivariate approximation of perturbed hyperbolic tangent-activated singular integral operators to the unit operator. The engaged neural network activation function is both parametrized and deformed, and the related kernel
George A. Anastassiou
doaj   +1 more source

RIPK4 function interferes with melanoma cell adhesion and metastasis

Molecular Oncology, EarlyView.
RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski, Sławomir Lasota, Ewelina Madej, Anna A. Brożyna, Małgorzata Szczygieł, Agnieszka Harazin‐Lechowska, Jan Czerbniak, Janusz Rys, Jaroslaw Czyz, Agnieszka Wolnicka‐Glubisz   +9 more
wiley   +1 more source

Approximation by boolean sums of positive linear operators VI: monotone approximation and global smoothness preservation

Journal of Numerical Analysis and Approximation Theory, 1999
Not available.
H. H. Gonska, Jia -Ding Cao
doaj   +2 more sources

An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs

, 2018
We extend the entropy stable high order nodal discontinuous Galerkin spectral element approximation for the non-linear two dimensional shallow water equations presented by Wintermeyer et al. [N. Wintermeyer, A. R. Winters, G. J. Gassner, and D.
Gassner, Gregor J., Warburton, Timothy, Wintermeyer, Niklas, Winters, Andrew R.   +3 more
core   +1 more source