Results 121 to 130 of about 136,000 (320)
Localization of the Chain Recurrent set using Shape theory and Symbolical Dynamics
Topological Algebra and its Applications, 2019 The main aim of this paper is localization of the chain recurrent set in shape theoretical framework. Namely, using the intrinsic approach to shape from [1] we present a result which claims that under certain conditions the chain recurrent set preserves ...
Shoptrajanov M.
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Molecular Oncology, EarlyView.The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld +7 more
wiley +1 more source
Limit behavior of monotone and concave skew-product semiflows with applications
Electronic Journal of Differential Equations, 2015 In this article, we study the long-time behavior of monotone and concave skew-product semiflows. We show that if there are two strongly ordered omega limit sets, then one of them is a copy of the base. Thus, we obtain a global attractor result.
Bin-Guo Wang
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Smoothness of solenoidal attractors
Discrete & Continuous Dynamical Systems - A, 2006 17 ...
Avila, Artur +2 more
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Molecular Oncology, EarlyView.This study simultaneously investigated circulating tumor cells (CTCs) and exosomes from small‐cell lung cancer (SCLC) patients. The elevated expression of JUNB and CXCR4 in CTCs was a poor prognostic factor for SCLC patients, whereas exosomal overexpression of these biomarkers revealed a high discrimination ability of patients from healthy individuals,
Dimitrios Papakonstantinou +13 more
wiley +1 more source
Attractors in complex networks [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2017 In the framework of the generalized Lotka–Volterra model, solutions representing multispecies sequential competition can be predictable with high probability. In this paper, we show that it occurs because the corresponding “heteroclinic channel” forms part of an attractor.
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Molecular Oncology, EarlyView.Analysis of ESR1 mutations in plasma cell‐free DNA (cfDNA) is highly important for the selection of treatment in patients with breast cancer. Using multiplex‐ddPCR and identical blood draws, we investigated whether circulating tumor cells (CTCs) and cfDNA provide similar or complementary information for ESR1 mutations.
Stavroula Smilkou +11 more
wiley +1 more source
Attractors for stochastic strongly damped plate equations with additive noise
Electronic Journal of Differential Equations, 2013 We study the asymptotic behavior of stochastic plate equations with homogeneous Neumann boundary conditions. We show the existence of an attractor for the random dynamical system associated with the equation.
Wenjun Ma, Qiaozhen Ma
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Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns
Mathematical Modelling and Analysis, 2017 In this paper, we prove the existence of attractor for a new mechanochemical model with Neumann boundary conditions on a bounded domain of space dimension n ≤ 3.
Aibo Liu, Changchun Liu
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