Results 71 to 80 of about 4,982,696 (356)

Cell‐free DNA aneuploidy score as a dynamic early response marker in prostate cancer

open access: yesMolecular Oncology, EarlyView.
mFast‐SeqS‐based genome‐wide aneuploidy scores are concordant with aneuploidy scores obtained by whole genome sequencing from tumor tissue and can predict response to ARSI treatment at baseline and, at an early time point, to ARSI and taxanes. This assay can be easily performed at low cost and requires little input of cfDNA. Cell‐free circulating tumor
Khrystany T. Isebia   +17 more
wiley   +1 more source

Global Attractors and Asymptotic Gain Property for Non-Autonomous Inclusion of Reaction–Diffusion Type

open access: yesJournal of Optimization, Differential Equations and Their Applications
We investigate global resolvability and stability of attractors for parabolic inclusion with multi-valued interaction function of reaction-diffusion type and non-autonomous disturbances.
Oleksiy V. Kapustyan   +3 more
doaj   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

open access: yesMolecular 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

On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term

open access: yesDiscrete Dynamics in Nature and Society, 2015
We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0,  in  Rn×R+;  u(x,0)=u0(x),  in  Rn.
Jin Zhang, Chengkui Zhong
doaj   +1 more source

Inhibitor of DNA binding‐1 is a key regulator of cancer cell vasculogenic mimicry

open access: yesMolecular Oncology, EarlyView.
Elevated expression of transcriptional regulator inhibitor of DNA binding 1 (ID1) promoted cancer cell‐mediated vasculogenic mimicry (VM) through regulation of pro‐angiogenic and pro‐cancerous genes (e.g. VE‐cadherin (CDH5), TIE2, MMP9, DKK1). Higher ID1 expression also increased metastases to the lung and the liver.
Emma J. Thompson   +11 more
wiley   +1 more source

On finite-dimensional global attractors of homeomorphisms [PDF]

open access: yesBulletin of the London Mathematical Society, 2016
Let $E$ be a linear space and suppose that $A$ is the global attractor of either (i) a homeomorphism $F:E\rightarrow E$ or (ii) a semigroup $S(\cdot)$ on $E$ that is injective on $A$. In both cases $A$ has trivial shape, and the dynamics on $A$ can be described by a homeomorphism $F:A\rightarrow A$ (in the second case we set $F=S(t)$ for some $t>0$).
James C. Robinson   +1 more
openaire   +4 more sources

Dose‐dependent induction of epithelial‐mesenchymal transition in 3D melanoma models by non‐thermal plasma treatment

open access: yesMolecular Oncology, EarlyView.
Non‐thermal plasma treatment of melanoma cells induced epithelial‐mesenchymal transition (EMT) in a dose‐dependent fashion. This report highlights the critical need to further investigate potential adverse effects of non‐thermal plasma for cancer therapy and to optimize treatment parameters for clinical translation. Despite the promising results of non‐
Eline Biscop   +10 more
wiley   +1 more source

Notes on the Global Attractors for Semigroup

open access: yesInternational Journal of Modern Nonlinear Theory and Application, 2013
First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic properties. Finally, we prove that these two conditions are equivalent directly.
Yuhua Shi, Lan Xu
openaire   +3 more sources

Pointed shape and global attractors for metrizable spaces [PDF]

open access: yesTopology and its Applications, 2011
In this paper we consider two notions of attractors for semidynamical systems de ned in metric spaces. We show that Borsuk's weak and strong shape theories are a convenient framework to study the global properties which the attractor inherits from the phase space.
Romero Ruiz Del Portal, Francisco   +4 more
openaire   +3 more sources

Global attractors for p-Laplacian equation

open access: yesJournal of Mathematical Analysis and Applications, 2007
AbstractThe existence of a (L2(Ω),W01,p(Ω)∩Lq(Ω))-global attractor is proved for the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g on a bounded domain Ω⊂Rn (n⩾3) with Dirichlet boundary condition, where p⩾2. The nonlinear term f is supposed to satisfy the polynomial growth condition of arbitrary order c1|u|q−k⩽f(u)u⩽c2|u|q+k and f′(u)⩾−l, where q⩾2 is ...
Chengkui Zhong, Meihua Yang, Chunyou Sun
openaire   +2 more sources

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