Results 71 to 80 of about 6,616 (301)
Random Attractor Associated with the Quasi-Geostrophic Equation [PDF]
Journal of Dynamics and Differential Equations, 2016 We study the long time behavior of the solutions to the 2D stochastic quasi-geostrophic equation on $\mathbb{T}^2$ driven by additive noise and real linear multiplicative noise in the subcritical case (i.e. $α>1/2$) by proving the existence of a random attractor.
Zhu, Rongchan, Zhu, Xiangchan
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Molecular Oncology, EarlyView.Radiotherapy (RT) response depends on the DNA repair capacity of tumor and host cells. We show that circulating tumor cell (CTC) counts and apoptosis rates before and after RT predict treatment response and outcome, which can be accessed via easily accessible liquid biopsy approaches. Created in BioRender. Wikman, H.
Yvonne Goy +10 more
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Molecular Oncology, EarlyView.Pair‐wise comparison of the CellSearch and FETCH enrichment technologies for circulating tumor cells (CTCs) from metastatic breast, prostate, and small cell lung cancer patients shows an increased capture of CTCs using FETCH enrichment. The clinical implementation of circulating tumor cells (CTCs) as a predictive tool for therapy efficacy in the ...
Michiel Stevens +6 more
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Robustness and information propagation in attractors of Random Boolean Networks.
PLoS ONE, 2012 Attractors represent the long-term behaviors of Random Boolean Networks. We study how the amount of information propagated between the nodes when on an attractor, as quantified by the average pairwise mutual information (I(A)), relates to the robustness ...
Jason Lloyd-Price +2 more
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Attractors via random perturbations [PDF]
Communications in Mathematical Physics, 1989 We discuss conditions which ensure that weak limits of invariant measures of small random perturbations of dynamical systems have their supports on attractors.
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Random Boolean Networks and Attractors of their Intersecting Circuits [PDF]
2011 IEEE Workshops of International Conference on Advanced Information Networking and Applications, 2011 The multi-scale strategy in studying biological regulatory networks analysis is based on two level of analysis. The first level is structural and consists in examining the architecture of the interaction graph underlying the network and the second level is functional and analyse the regulatory properties of the network.
Demongeot, Jacques +3 more
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Numerical approximation of random attractors [PDF]
, 1998 In this article an algorithm for the numerical approximation of random attractors based on the subdivision algorithm of Dellnitz and Hohmann is presented.
Keller, H. +2 more
core
Random dynamics of fractional stochastic retarded FitzHugh–Nagumo systems on unbounded domains
Journal of Inequalities and ApplicationsIn this paper, we study the dynamics of fractional nonautonomous stochastic FitzHugh–Nagumo systems with variable delay defined on R n $\mathbb{R}^{n}$ .
Dongjie Gao
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Attractors and time averages for random maps
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2000 Considering random noise in finite dimensional parameterized families of diffeomorphisms of a compact finite dimensional boundaryless manifold M , we show the existence of time averages for almost every orbit of each point of M ...
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Molecular Oncology, EarlyView.Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi +14 more
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