Results 81 to 90 of about 2,681,020 (311)

Global dynamics of planar quasi-homogeneous differential systems [PDF]

open access: yesarXiv, 2017
In this paper we provide a new method to study global dynamics of planar quasi--homogeneous differential systems. We first prove that all planar quasi--homogeneous polynomial differential systems can be translated into homogeneous differential systems and show that all quintic quasi--homogeneous but non--homogeneous systems can be reduced to four ...
arxiv  

Adverse prognosis gene expression patterns in metastatic castration‐resistant prostate cancer

open access: yesMolecular Oncology, EarlyView.
We aggregated a cohort of 1012 mCRPC tissue samples from 769 patients and investigated the association of gene expression‐based pathways with clinical outcomes. Loss of AR signaling, high proliferation, and a glycolytic phenotype were independently prognostic for poor outcomes, and an adverse transcriptional feature score incorporating these pathways ...
Marina N. Sharifi   +26 more
wiley   +1 more source

Highly multiplexed digital PCR assay for simultaneous quantification of variant allele frequencies and copy number alterations of KRAS and GNAS in pancreatic cancer precursors

open access: yesMolecular Oncology, EarlyView.
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka   +10 more
wiley   +1 more source

Equivalence of planar dynamical and differential systems

open access: yesJournal of Differential Equations, 1965
where x is a 2-vector, f(x) is homogeneous of degree N 3 1, g(x) is o (11 x 11”) for sufficiently small I] x I), and the usual existence and uniqueness properties hold for the solutions of each system close enough to the origin. The origin is assumed to be an isolated critical point of each system.A familiar problem is that of determining the local ...
openaire   +2 more sources

Time-preserving structural stability of hyperbolic differential dynamics with noncompact phase spaces [PDF]

open access: yesarXiv, 2008
In this paper, we study the structural stability of hyperbolic differential systems on Euclidean spaces using Liao theory.
arxiv  

Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma

open access: yesMolecular Oncology, EarlyView.
This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu   +15 more
wiley   +1 more source

Stereographically conjugate differential systems [PDF]

open access: yesarXiv, 2015
Topological bases of behaviour of trajectories for autonomous differential systems of the second order on sphere are stated. Stereographic atlas of trajectories is constructed. Differential connections between trajectories of stereographically conjugate differential systems are established.
arxiv  

Memory loss for nonequilibrium open dynamical systems

open access: yes, 2014
We introduce a notion of conditional memory loss for nonequilibrium open dynamical systems. We prove that this type of memory loss occurs at an exponential rate for nonequilibrium open systems generated by one-dimensional piecewise-differentiable ...
Anushaya Mohapatra, W. Ott
semanticscholar   +1 more source

Escape from TGF‐β‐induced senescence promotes aggressive hallmarks in epithelial hepatocellular carcinoma cells

open access: yesMolecular Oncology, EarlyView.
Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu   +11 more
wiley   +1 more source

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