Results 61 to 70 of about 893,395 (191)
Controllability results for weakly blowing up reaction-diffusion system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider the controllability of a general reaction-diffusion system with homogeneous Dirichlet boundary conditions. We prove the exact controllability to the trajectories and the approximate controllability of the system which contains ...
Qiang Tao, Hang Gao, Ying Yang
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Numerical Simulation and Symmetry Reduction of a Two-Component Reaction-Diffusion System
Advances in Mathematical Physics, 2020 In this paper, the symmetry classification and symmetry reduction of a two-component reaction-diffusion system are investigated, the reaction-diffusion system can be reduced to system of ordinary differential equations, and the solutions and numerical ...
Jina Li, Xuehui Ji
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Noise-Induced Spatial Pattern Formation in Stochastic Reaction-Diffusion Systems
, 2013 This paper is concerned with stochastic reaction-diffusion kinetics governed by the reaction-diffusion master equation. Specifically, the primary goal of this paper is to provide a mechanistic basis of Turing pattern formation that is induced by ...
Hara, Shinji, Hori, Yutaka
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Limit cycles in the presence of convection, a first order analysis [PDF]
, 2006 We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads pattern outwards from the source. Convection adds instability to the reaction-diffusion system.
Flach, E. H., Norbury, John, Schnell, S.
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Molecular Oncology, EarlyView.HDAC4 is degraded by the E3 ligase FBXW7. In colorectal cancer, FBXW7 mutations prevent HDAC4 degradation, leading to oxaliplatin resistance. Forced degradation of HDAC4 using a PROTAC compound restores drug sensitivity by resetting the super‐enhancer landscape, reprogramming the epigenetic state of FBXW7‐mutated cells to resemble oxaliplatin ...
Vanessa Tolotto +13 more
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Global dynamics of a reaction-diffusion system
Electronic Journal of Differential Equations, 2011 In this work the existence of a global attractor for the semiflow of weak solutions of a two-cell Brusselator system is proved. The method of grouping estimation is exploited to deal with the challenge in proving the absorbing property and the ...
Yuncheng You
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Numerical modeling of three dimensional Brusselator reaction diffusion system
AIP Advances, 2019 In many mathematical models, positivity is one of the attributes that must be possessed by the continuous systems. For instance, the unknown quantities in the Brusselator reaction-diffusion model represent the concentration of two reactant species.
Nauman Ahmed +4 more
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On Periodic Solutions of a Nonlinear Reaction-Diffusion System
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider a system of three parabolic partial differential equations of a special reaction-diffusion type. In this system, the terms that describe diffusion are identical and linear with constants coefficients, whereas reactions are described by ...
A. Kosov, E. Semenov
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Mathematics, 2022 The study considers a nonlinear multi-parameter reaction–diffusion system of two Lotka–Volterra-type equations with several delays. It treats both cases of different diffusion coefficients and identical diffusion coefficients.
Andrei D. Polyanin, Alexei I. Zhurov
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Molecular Oncology, EarlyView.We developed and validated a DNA methylation–based biomarker panel to distinguish pleural mesothelioma from other pleural conditions. Using the IMPRESS technology, we translated this panel into a clinically applicable assay. The resulting two classifier models demonstrated excellent performance, achieving high AUC values and strong diagnostic accuracy.
Janah Vandenhoeck +12 more
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