Results 111 to 120 of about 8,296,108 (395)

Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains

open access: yes, 2015
This paper is concerned with degenerate chemotaxis-Navier-Stokes systems with position-dependent sensitivity on a two dimensional bounded domain.
Sachiko Ishida
semanticscholar   +1 more source

Subpar reporting of pre‐analytical variables in RNA‐focused blood plasma studies

open access: yesMolecular Oncology, EarlyView.
Pre‐analytical variables strongly influence the analysis of extracellular RNA (cell‐free RNA; exRNA) derived from blood plasma. Their reporting is essential to allow interpretation and replication of results. By evaluating 200 exRNA studies, we pinpoint a lack of reporting pre‐analytical variables associated with blood collection, plasma preparation ...
Céleste Van Der Schueren   +16 more
wiley   +1 more source

Global Existence for The Massive Dirac Equations with small initial datum on Tori [PDF]

open access: yesarXiv, 2022
In the article we obtain almost global existence for Dirac Equations with high regularity and small initial datum on Tori. Besides, the global existence with low regularity and small initial datum is gotten. The approaches are mainly Gagliardo-Nirenberg-Moser estimates and Bernstein-Type Lemma.
arxiv  

Global existence for rough differential equations under linear growth conditions [PDF]

open access: yes, 2009
We prove existence of global solutions for differential equations driven by a geometric rough path under the condition that the vector fields have linear growth. We show by an explicit counter-example that the linear growth condition is not sufficient if
Gubinelli, Massimiliano, Lejay, Antoine
core   +2 more sources

Identification of functional and diverse circulating cancer‐associated fibroblasts in metastatic castration‐naïve prostate cancer patients

open access: yesMolecular Oncology, EarlyView.
Cancer‐associated fibroblasts (CAFs) promote cancer growth, invasion (metastasis), and drug resistance. Here, we identified functional and diverse circulating CAFs (cCAFs) in patients with metastatic prostate cancer (mPCa). cCAFs were found in higher numbers and were functional and diverse in mPCa patients versus healthy individuals, suggesting their ...
Richell Booijink   +6 more
wiley   +1 more source

On the equivalence between local and global existence of complete Kähler metrics with plurisubharmonic potentials [PDF]

open access: yesarXiv, 2015
Like the classical potential theory, it was conjectured that there exists equivalence between locally and globally pluripolar and complete pluripolar sets, namely, Problem I of Lelong, and was solved by Josefson, Bedford - Taylor and Col\c{t}oiu. In this article, we consider complements of complete K\"ahler domains as the generalization of closed ...
arxiv  

Clinical applications of next‐generation sequencing‐based ctDNA analyses in breast cancer: defining treatment targets and dynamic changes during disease progression

open access: yesMolecular Oncology, EarlyView.
Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker   +14 more
wiley   +1 more source

Existence of global solutions of elliptic systems

open access: yesJournal of Mathematical Analysis and Applications, 2004
AbstractWe study existence of entire solutions of elliptic systems whose prototype is given by div|u|γ|∇u|m−2∇u−γm|u|γ−2u|∇u|m=|u|p−2u,u:Rn→RN, with m>1, γ∈R, p>1. In particular, we prove that, if γ⩾p−m, the system above admits a one parameter family of nontrivial entire radial solutions, u=u(|x|), such that lim|x|→∞|u(|x|)|=∞.
openaire   +4 more sources

Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

open access: yes, 2015
This paper is concerned with the parabolic-elliptic Keller-Segel system with signal-dependent sensitivity $\chi(v)$, \begin{align*} \begin{cases} u_t=\Delta u - \nabla \cdot ( u \nabla \chi(v)) &\mathrm{in}\ \Omega\times(0,\infty), \\ 0=\Delta ...
Kentarou Fujie, T. Senba
semanticscholar   +1 more source

Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients

open access: yesMolecular Oncology, EarlyView.
Small cell lung cancer (SCLC) is an aggressive form of lung cancer that spreads rapidly to secondary sites such as the brain and liver. Cancer cells circulating in the blood, “circulating tumor cells” (CTCs), have demonstrated prognostic value in SCLC, and evaluating biomarkers on CTCs could guide treatment decisions such as for PARP inhibitors ...
Prajwol Shrestha   +6 more
wiley   +1 more source

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