Results 71 to 80 of about 1,036,048 (312)
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon+13 more
wiley +1 more source
Global mild solutions of Navier‐Stokes equations [PDF]
AbstractWe establish a global well‐posedness of mild solutions to the three‐dimensional, incompressible Navier‐Stokes equations if the initial data are in the space ${\cal{X}}^{-1}$ defined by \input amssym ${\cal{X}}^{‐1} = \{f \in {\cal{D}}^\prime(R^3): \int_{{\Bbb{R}}^3}|\xi|^{‐1}|\widehat{f}|d\xi < \infty\}$ and if the norms of the initial data ...
Fanghua Lin, Zhen Lei
openaire +2 more sources
Raphin‐1 reduces the survival of PED‐DHGG cells and enhances their radiation sensitivity through both PeIF2α‐dependent and PeIF2α‐independent mechanisms. Raphin‐1 sustains elevated levels of PeIF2α, contributing to its PeIF2α‐dependent effects. Additionally, raphin‐1 interacts with CReP to mediate a separate radiosensitizing pathway that operates ...
Karin Eytan+4 more
wiley +1 more source
In this article, we study a class of impulsive stochastic neutral partial functional differential equations in a real separable Hilbert space. By using Banach fixed point theorem, we give sufficient conditions for the existence and uniqueness of a ...
Danhua He, Liguang Xu
doaj
On mild solutions of gradient systems in Hilbert spaces
Abstract We consider the Cauchy problem for an infinite-dimensional Ornstein-Uhlenbeck equation perturbed by gradient of a potential. We prove some results on existence and uniqueness of mild solutions of the problem. We also provide stochastic representation of mild solutions in terms of linear backward stochastic differential equations
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Gut alterations in a chronic kidney disease rat model with diet‐induced vascular calcification
Chronic kidney disease (CKD) patients often suffer from intestinal and/or mineral and bone disorders. Using a rat model, we showed that uremic vascular calcification is associated with gut barrier alterations (decreased gut mucus production and Nlrp6 gene expression, increased gut inflammation), and plasma retention of gut‐origin uremic toxins (indoxyl
Piotr Bartochowski+13 more
wiley +1 more source
Neutral functional differential equations of second-order with infinite delays
This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
doaj
Remark on the uniqueness of the mild solution of SQG equation
We study the two-dimensional surface quasi-geostrophic equation. Motivated by the uniqueness for the three-dimensional incompressible Navier-Stokes equations, we demonstrate that the uniqueness of the mild solution of the two-dimensional surface quasi-geostrophic equation holds in the scaling critical Lebesgue space with a unique structure of the non ...
Iwabuchi, Tsukasa, Ueda, Ryoma
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On the existence of mild solutions of semilinear evolution differential inclusions
AbstractIn this paper we deal with a Cauchy problem governed by the following semilinear evolution differential inclusion: x′(t)∈A(t)x(t)+F(t,x(t)) and with initial data x(0)=x0∈E, where {A(t)}t∈[0,d] is a family of linear operators in the Banach space E generating an evolution operator and F is a Carathèodory type multifunction. We prove the existence
CARDINALI, Tiziana, RUBBIONI, Paola
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Non-Markovian Fully Coupled Forward-Backward Stochastic Systems and Classical Solutions of Path-dependent PDEs [PDF]
This paper explores the relationship between non-Markovian fully coupled forward-backward stochastic systems and path-dependent PDEs. The definition of classical solution for the path-dependent PDE is given within the framework of functional It\^{o ...
Ji, Shaolin, Yang, Shuzhen
core