Concentration-Compactness Principle for Moser-type Inequalities in Lorentz-Sobolev Spaces
Let n â đ, n ⼠2, q â (1, â) and let ${\Omega }\subset \mathbb {R}^{n}$ be an open bounded set. We study the Concentration-Compactness Principle for the embedding of the Lorentz-Sobolev space
Li Dongliang, Zhu Maochun
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Making tau amyloid models in vitro: a crucial and underestimated challenge
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Identification of novel small molecule inhibitors of ETS transcription factors
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved EâTwentyâSix
Shaima Abdalla+9 more
wiley +1 more source
EXISTENCE OF STEADY STATES FOR THE MAXWELLâSCHRĂDINGERâPOISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATIONâCOMPACTNESS PRINCIPLE [PDF]
This paper reviews recent results and open problems concerning the existence of steady states to the MaxwellâSchrĂśdinger system. A combination of tools, proofs and results are presented in the framework of the concentrationâcompactness method.
Catto, Isabelle+3 more
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A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMagâ˘, EasySepâ˘, RosetteSepâ˘, ParsortixÂŽ PR1, and ParsortixÂŽ Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini+11 more
wiley +1 more source
Concentration-compactness principle for nonlocal scalar field equations with critical growth
The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space $\mathcal{D}^{s,2} (\mathbb{R}^N)$ for ...
JoĂŁo Marcos do Ă, Diego Ferraz
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The concentration-compactness principle for the nonlocal anisotropic
19 ...
Chaker, Jamil+2 more
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We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTCâderived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsyâderived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
NataĹĄa StojanoviÄ GuĹžviÄ+31 more
wiley +1 more source
Uncertainty principle for the two-sided quaternion windowed linear canonical transform [PDF]
In this paper, we investigate the (two-sided) quaternion windowed linear canonical transform (QWLCT) and study the uncertainty principles associated with the QWLCT. Firstly, several important properties of the QWLCT such as bounded, shift, modulation, orthogonality relation, are presented based on the spectral representation of the quaternionic linear ...
arxiv
Consensus molecular subtypes (CMS1â4) have been identified to study colorectal cancer heterogeneity and serve as potential biomarkers. In this study, we developed and evaluated NanoCMSer, a NanoStringâbased classifier using 55 genes, optimized for FF and FFPE to facilitate the clinical evaluation of CMS subtyping.
Arezo Torang+10 more
wiley +1 more source