Results 61 to 70 of about 634,419 (341)
A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer
Molecular Oncology, EarlyView.Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini +11 more
wiley +1 more source
On Pacard's regularity for the equation $-Delta u = u^p$
Electronic Journal of Differential Equations, 2012 It is shown that the singular set for a positive solution of the PDE $-Delta u = u^p$ has Hausdorff dimension less than or equal to $n - 2p'$, as conjectured by Pacard [12 in 1993.
David R. Adams
doaj
Global solutions and decay of a nonlinear coupled system with thermo-elastic
Pesquimat, 2016 In this present work, the authors prove the existence of global solutions and the decay of nonlinear wave equation with thermo-elastic coupling give by the system of equation…..
Ricardo Fuentes Apolaya +1 more
doaj +1 more source
Molecular Oncology, EarlyView.The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld +7 more
wiley +1 more source
Boundedness of solutions to some linear elliptic equations with right hand side in the Morrey space L^{1,λ} [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1998 We prove boundedness of distributional solutions u to linear elliptic equations − div(a(x)Du(x)) = − div f(x)+f0(x) where the right hand side f,f0 is only in L^{1,λ}.
Anna D’Ottavio +2 more
doaj
Regularity results for a class of nonlinear fractional Laplacian and singular problems [PDF]
arXiv, 2020 In this article, we investigate the existence, uniqueness, nonexistence, and regularity of weak solutions to the nonlinear fractional elliptic problem of type $(P)$ (see below) involving singular nonlinearity and singular weights in smooth bounded domain.
arxiv
The role of the pressure in the regularity theory for the Navier-Stokes equations [PDF]
arXiv, 2021 We first show the equivalence of two classes of generalized suitable weak solutions to the 3D incompressible Navier-Stokes equations allowing distributional pressure, the class of dissipative weak solutions and local suitable weak solutions. Then, an $\varepsilon$-regularity criterion for dissipative weak solutions follows from that for local suitable ...
arxiv
Molecular Oncology, EarlyView.Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran +16 more
wiley +1 more source
Clinical heterogeneity in a family with flail arm syndrome and review of hnRNPA1‐related spectrum
Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1910-1917, December 2022., 2022 Abstract Objective Flail arm syndrome (FAS) is one of the atypical subtypes of amyotrophic lateral sclerosis (ALS). Mutations in hnRNPA1 encoding heterogeneous nuclear ribonucleoprotein (hnRNP) A1 are a rare genetic cause of ALS. Herein, marked clinical heterogeneity of FAS in a pedigree with a known hnRNPA1 variant was described to raise early ...
Xiaochen Han +5 more
wiley +1 more source
Uniqueness of weak solutions to the primitive equations in some anisotropic spaces [PDF]
arXiv, 2023 We consider the 3D or 2D primitive equations for oceans and atmosphere in the isothermal setting. In this paper, we establish a new conditional uniqueness result for weak solutions to the primitive equations, that is, if a weak solution belongs some scaling invariant function spaces, and satisfies some additional assumptions, then the weak solution is ...
arxiv