Results 111 to 120 of about 3,111,772 (368)
Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
wiley +1 more source
Estimates for singular integrals on homogeneous groups [PDF]
arXiv, 2010 We consider singular integral operators and maximal singular integral operators with rough kernels on homogeneous groups. We prove certain estimates for the operators that imply $L^p$ boundedness of them by an extrapolation argument under a sharp condition for the kernels. Also, we prove some weighted $L^p$ inequalities for the operators.
arxiv
On integral representation of thetranslation operator
Mathematical Modelling and Analysis, 2012 The formulation in the explicit form of quantum expression of the one-dimensional translation operator as well as Hermitian operator of momentum and its eigenfunctions are presented.
Paulius Miškinis
doaj +1 more source
, 2014 In this paper, the boundedness of the Toeplitz type operators associated to the singular integral operator with variable Calderon-Zygmund kernel on Morrey spaces is obtained.
Chuangxia Huang, S. Guo, Lanzhe Liu
semanticscholar +1 more source
Molecular Oncology, EarlyView.Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser +11 more
wiley +1 more source
Analysis of hyper-singular, fractional, and order-zero singular integral operators [PDF]
arXiv, 2018 In this article, we conduct a study of integral operators defined in terms of non-convolution type kernels with singularities of various degrees. The operators that fall within our scope of research include fractional integrals, fractional derivatives, pseudodifferential operators, Calder\'on-Zygmund operators, and many others. The main results of this
arxiv
Univalence Criteria for a General Integral Operator
, 2014 In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given. 1. Introduction and Preliminaries
E. Deniz
semanticscholar +1 more source
Molecular Oncology, EarlyView.Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu +11 more
wiley +1 more source
A note on the bilinear fractional integral operator acting on Morrey spaces [PDF]
arXiv, 2019 The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. This paper is oriented to the boundedness of this operator on products of Morrey spaces. Compared to the earlier work by He and Yan, the local integrability condition of the domain is expanded. The local
arxiv
Certain generalized fractional integral inequalities
AIMS Mathematics, 2020 The principal aim of this article is to establish certain generalized fractional integral inequalities by utilizing the Marichev-Saigo-Maeda (MSM) fractional integral operator.
Kottakkaran Sooppy Nisar +4 more
doaj +1 more source