Results 81 to 90 of about 2,681,020 (311)
Global dynamics of planar quasi-homogeneous differential systems [PDF]
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
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
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
Dynamical systems model of development of the action differentiation in early infancy: a requisite of physical agency [PDF]
Ryo Fujihira, Gentaro Taga
openalex +2 more sources
Equivalence of planar dynamical and differential systems
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]
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
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]
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
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
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