Results 51 to 60 of about 64,085 (304)
Center manifold and exponentially-bounded solutions of a forced Newtonian system with dissipation
Electronic Journal of Differential Equations, 2000 We study the existence of exponentially-bounded solutions to the following system of second-order ordinary differential equations with dissipation: $$ u''+cu'+Au+kH(u) = P(t), quad u in {mathbb R}^n, quad t in {mathbb R}, $$ where $c$ and $k$ are ...
Luis Garcia, Hugo Leiva
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FEBS Letters, EarlyView.CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens +8 more
wiley +1 more source
Electronic Journal of Differential Equations, 2011 We give affirmative answers to two questions concerning the existence of centers on local center manifolds at equilibria of a quadratic system in the three dimensional space.
Warley Ferreira da Cunha +2 more
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Complexity, 2021 In this paper, a diffusion two-phytoplankton one-zooplankton model with time delay, Beddington–DeAnglis functional response, and Holling II functional response is proposed.
Xin-You Meng, Li Xiao
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Analytic Nilpotent Centers on Center Manifolds
, 2021 Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is $y\partial_x-λz\partial_z$ for some $λ\neq 0$. The restriction of such systems to a Center Manifold has a nilpotent singular point at the origin.
Pessoa, Claudio, Queiroz, Lucas
openaire +2 more sources
Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers
Molecular Oncology, EarlyView.This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel +6 more
wiley +1 more source
Approximation Scheme of a Center Manifold for Functional Differential Equations
, 1997 In this paper, we consider a general autonomous functional differential equation having a local center manifold. Then, we give an algorithmic procedure to compute the terms in the Taylor expansion of this manifold up to any ...
Arino, O., Babram, M.Ait, Hbid, M.L.
core +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Hopf bifurcations in a three-species food chain system with multiple delays
Open Mathematics, 2017 This paper is concerned with a three-species Lotka-Volterra food chain system with multiple delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the stability of the positive equilibrium and ...
Xie Xiaoliang, Zhang Wen
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Моделирование и анализ информационных систем, 2014 In this paper, we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We construct the asymptotics for solutions of the considered systems in the critical case. Using the
P. N. Nesterov
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