Results 111 to 120 of about 17,219 (295)
On the boundedness of Weyl sums
Monatshefte für Mathematik, 1992 Let \(\alpha\) be irrational and let \(f:\mathbb{R}/\mathbb{Z}\to\mathbb{R}\) be Riemann integrable with integral zero. Let \(f_ n(z)\) denote the Weyl sum \(f_ n(x):= \sum_{k=0}^{n-1} f(x+k\alpha\bmod 1)\), \(x\in\mathbb{R}/\mathbb{Z}\), \(n\in\mathbb{N}\).
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ITGAV and SMAD4 influence the progression and clinical outcome of pancreatic ductal adenocarcinoma
Molecular Oncology, EarlyView.In SMAD4‐positive pancreatic ductal adenocarcinoma (PDAC), integrin subunit alpha V (ITGAV) activates latent TGF‐β, which binds to the TGF‐β receptor and phosphorylates SMAD2/3. The activated SMAD2/3 forms a complex with SMAD4, and together they translocate to the nucleus, modulating gene expression to promote proliferation, migration, and invasion. In
Daniel K. C. Lee +9 more
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Exploring the role of cyclin D1 in the pathogenesis of multiple myeloma beyond cell cycle regulation
Molecular Oncology, EarlyView.Cyclin D1 overexpression altered the cell adhesion pathway, while cyclin D2 upregulation had less impact on pathway enrichment analysis. Multiple myeloma (MM) patients with cyclin D1 overexpression showed reduced CD56 expression and increased circulating tumor cells (CTC) levels, suggesting that cyclin D1 may contribute to MM cell dissemination ...
Ignacio J. Cardona‐Benavides +13 more
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Commuting Boolean algebras of projections. II. Boundedness in 𝐿𝑝 [PDF]
, 1964 Charles A. McCarthy
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β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1
Molecular Oncology, EarlyView.Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero +8 more
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The continuity and the boundedness of linear functionals on linear ranked spaces [PDF]
, 1967 Masako Washihara
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On polynomial degree-boundedness
Advances in CombinatoricsWe prove a conjecture of Bonamy, Bousquet, Pilipczuk, Rzążewski, Thomassé, and Walczak, that for every graph $H$, there is a polynomial $p$ such that for every positive integer $s$, every graph of average degree at least $p(s)$ contains either $K_{s,s}$ as a subgraph or contains an induced subdivision of $H$.
Bourneuf, Romain +3 more
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Decrypting cancer's spatial code: from single cells to tissue niches
Molecular Oncology, EarlyView.Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik +4 more
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AIMS MathematicsIn this paper, the chemotaxis-Stokes system with slow $ p $-Laplacian diffusion and logistic source as follows $ \begin{equation*} \left\{ \begin{aligned} &n_t+u\cdot\nabla n = \nabla\cdot(|\nabla n|^{p-2}\nabla n)-\nabla\cdot(n\nabla c)+\mu n(
Xindan Zhou , Zhongping Li
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