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Exponential Attractor for a First-Order Dissipative Lattice Dynamical System
Published 2008-01-01“…We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. And we obtain fractal dimension of the exponential attractor.…”
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1802
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Estimates for the norms of solutions of delay difference systems
Published 2002-01-01“…Applications to partial difference equations, which model diffusion and reaction processes, are given.…”
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1805
Approximate Controllability of the Degenerate System with the First-Order Term
Published 2015-01-01“…The first-order term in the equation cannot be controlled by the diffusion term. The system is shown to be approximately controllable by constructing a control by means of its conjugate problem.…”
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1806
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Study on Thixojoining Process Using Partial Remelting Method
Published 2013-01-01“…The study revealed that a new type of nonequilibrium diffusion interfacial structure was constructed at the interface of the two different types of steel. …”
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1810
Radionuclide Transport in Fractured Rock: Numerical Assessment for High Level Waste Repository
Published 2013-01-01“…Transport in the fracture is assumed to obey an advection-diffusion equation, while molecular diffusion is considered the dominant mechanism of transport in porous matrix. …”
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1811
Live imaging of paracrine signaling: Advances in visualization and tracking techniques
Published 2025-01-01“…This review examines recent advances in visualizing and tracking paracrine factors through four key stages: secretion from producing cells, diffusion through extracellular space, binding to target cells, and activation of intracellular signaling within target cells. …”
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1812
p-Type Quasi-Mono Silicon Solar Cell Fabricated by Ion Implantation
Published 2013-01-01“…Furthermore, the absolute cell efficiency obtained using this method is 0.47% higher than that for the traditional POCl3 diffusion process.…”
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1813
Failure Analysis of Deep Composite Roof Roadway and Support Optimization of Anchor Cable Parameters
Published 2021-01-01“…., improving the effective stress diffusion efficiency of the anchor cable through the reasonable arrangement of the anchor cable. …”
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1814
A multiple time-scale computational model of a tumor and its micro environment
Published 2012-11-01“…This paper describes anefficient, flexible, hybrid cellular automaton-based implementation ofnumerical solutions to multiple time-scale reaction-diffusion equations,applied to a model of tumor proliferation. …”
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1815
Production Analysis for Fractured Vertical Well in Coal Seam Reservoirs with Stimulated Reservoir Volume
Published 2021-01-01“…Based on the dual-porosity flowing mechanism, combined with the Langmuir adsorb equation, Fick diffusion law, and Darcy law, a mathematical model considering diffusion in matrix and transport in natural fracture system is established, using spherical matrix to describe the transient steady-state sorption, and using cubic matrix to describe the pseudosteady-state sorption. …”
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1816
“Heart Appearance” Infarction of the Pons: A Case Report
Published 2012-01-01“…Brain MRI disclosed a “heart appearance” lesion in the pons, which was high on diffusion-weighted image MRI and low on apparent diffusion coefficient map MRI. …”
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1817
Comparative Evaluation of Antimicrobial and Smear Layer Removal Efficacy of Mangifera indica Kernel Extract as Root Canal Irrigant in Primary Molar: An In Vitro Study
Published 2024-01-01“…The antimicrobial efficacy of M. indica kernel extract was determined by agar diffusion method with 3% sodium hypochlorite and distilled water as controls, and the smear layer removal efficacy was assessed under the SEM after processing the root samples with different concentrations of M. indica kernel extract with 17% EDTA and distilled water as positive and negative controls, respectively. …”
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1818
Optimized Synthesis of Magnesium Oxide Nanoparticles as Bactericidal Agents
Published 2019-01-01“…The results of colony-forming unit and disk diffusion revealed the optimal antibacterial activity of synthesized nanoparticles against Staphylococcus aureus and Escherichia coli bacteria. …”
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1819
Screen-Printed Superconducting Y-Ba-Cu-O Thick Films on Various Substrates
Published 1989-01-01“…These properties were determined by carrying out structural studies using SEM, EPMA and XRD and by determining the electrical resistivity. The effect of diffusion barrier layers between the film and the substrate on the superconducting properties of the film was also studied. …”
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1820
First principle investigation of Cr doping effect on the stability of NiFe2O4
Published 2025-01-01“…We believe that lattice mismatch induced by Cr doping may lead to stress and dislocations, which suppressed further growth of NiFe2O4. Subsequently, the diffusion of Cr facilitates the smooth growth of the interface, suggesting that the diffusion of Cr may be a crucial factor influencing the growth rate of CRUD.…”
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