Results 71 to 80 of about 18,812,776 (248)
A SHADOWING LEMMA FOR RANDOM DYNAMICAL SYSTEMS
Journal of Applied Analysis & Computation, 2021 Summary: This paper proves a shadowing lemma for the random dynamical systems generated by a class of random parabolic equations. We propose random versions of Newton's method and solution-tracing theory to obtain our main theorem. This result applies to \(C^1\) random dynamical systems on Banach space without assuming the corresponding map to be a ...
openaire +2 more sources
Molecular Oncology, EarlyView.Dormant cancer cells can hide in distant organs for years, evading treatment and the immune system. This review highlights how signals from the surrounding tissue and immune environment keep these cells inactive or trigger their reawakening. Understanding these mechanisms may help develop therapies to eliminate or control dormant cells and prevent ...
Kanishka Tiwary +1 more
wiley +1 more source
Survival Dynamical Systems on Random Graphs
, 2019 The idea of a survival dynamical system (SDS) is to apply aggregated dynamics of a macro model at the level of an individual agent. SDS may be also viewed a limit of agentsâ dynamics obtained when replacing individualâs random hazard function with its ...
Rempala, Grzegorz
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Population dynamical behavior of Lotka-Volterra system under regime switching [PDF]
, 2009 In this paper, we investigate a Lotka-Volterra system under regime switching dx(t) = diag(x1(t); : : : ; xn(t))[(b(r(t)) + A(r(t))x(t))dt + (r(t))dB(t)]; where B(t) is a standard Brownian motion.
Li, Xiaoyue +4 more
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Molecular Oncology, EarlyView.We identify USP29 as the only DUB mirroring CA9 expression, a marker of hypoxia and HIF pathway activation associated with PCA aggressiveness. USP29 stabilizes HIF‐1α and HIF‐2α via a noncanonical mechanism that is independent of PHD/pVHL activity yet relies on proteasomal regulation, establishing USP29 as a previously unrecognized regulator of hypoxic
Amelie S Schober +16 more
wiley +1 more source
Probabilistic study of a dynamical system [PDF]
, 2000 This paper investigates the relation between a branching process and a non-linear dynamical system in C2. This idea has previously been fruitful in many investigations, including that of the FKPP equation by McKean, Neveu, Bramson, and others.
Warren, Jon, Williams, D.
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Random matrix products and random dynamical systems
, 2020 The talk will be in two parts. The first part will be tutorial in nature, discussing the connection between random matrix products and random dynamical systems.
Baxendale, Peter
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Topological dimensions of random attractors for a stochastic reaction-diffusion equation with delay
Electronic Journal of Qualitative Theory of Differential EquationsThe aim of this paper is to obtain an estimation of Hausdorff as well as fractal dimensions of random attractors for a stochastic reaction-diffusion equation with delay.
Wenjie Hu, Tomas Caraballo
doaj +1 more source
Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations
Journal of Applied Mathematics, 2011 We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.
Jie Xin, Hong Lu
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Molecular Oncology, EarlyView.LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
wiley +1 more source