Results 81 to 90 of about 64,656 (275)
Global solutions and uniform boundedness of attractive/repulsive LV competition systems
Advances in Difference Equations, 2018 In this paper, we study global solutions to the following strongly coupled systems: {ut=∇⋅(D1∇u−χu∇v)+(a1−b1u−c1v)u,x∈Ω,t>0,0=D2Δv+(a2−b2u−c2v)v,x∈Ω,t>0, $$\textstyle\begin{cases} u_{t}=\nabla\cdot(D_{1} \nabla u -\chi u \nabla v)+(a_{1}-b_{1}u-c_{1}v)u,\
Yuanyuan Zhang
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Molecular Oncology, EarlyView.RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
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A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion
Boundary Value ProblemsThis paper presents the investigation of a boundedness solution for a Keller–Segel chemotaxis (KSC) system with nonlocal diffusion. In order to achieve boundedness, we derive the necessary and sufficient condition based on the assumption of ensuring a ...
A. Baskar, V. Parthiban
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Global Attractivity and Periodic Character of Difference Equation of Order Four
Discrete Dynamics in Nature and Society, 2012 We investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence , where the parameters , andare positive real numbers and the initial conditions , and are positive real numbers.
M. A. Obaid +2 more
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Molecular Oncology, EarlyView.Here, we demonstrate that HS1BP3 interacts with Cortactin through a proline‐rich region (PRR3.1) and show that this interaction, and HS1BP3 itself, promote cancer cell proliferation and invasion. Inhibition of this interaction leads to build‐up of TKS5 in multivesicular endosomes and altered secretion of CD63 and CD9, providing an explanation for the ...
Arja Arnesen Løchen +9 more
wiley +1 more source
FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
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Boundary Value Problems, 2009 A Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions to the model are dicussed.
Shengmao Fu, Ling Guo, Rui Zhang
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Qualitative Properties of Difference Equation of Order Six
Mathematics, 2016 In this paper we study the qualitative properties and the periodic nature of the solutions of the difference equation x n + 1 = α x n - 2 + β x n - 2 2 γ x n - 2 + δ x n - 5 , n = 0 , 1 , . . .
Abdul Khaliq, E.M. Elsayed
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Discrete Dynamics in Nature and Society, 2020 We investigate the local and global character of the unique equilibrium point and boundedness of the solutions of certain homogeneous fractional difference equation with quadratic terms.
Mirela Garić-Demirović +3 more
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On the Boundedness of Global Solutions of Abstract Semilinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 1997 Let \(X\) be a Banach space, \(A:X\supset \text{dom}(A)\to X\) be the generator of an analytic semigroup, \(Y\) be an energy space associated with \(A\) and \(F:Y\to X\) be locally Lipschitz. The authors establish sufficient conditions for the boundedness of global solutions of \[ \dot u+Au=Fu \] in a setting which is motivated by the parabolic initial-
Fila, Marek, Levine, Howard A.
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