Results 111 to 120 of about 211,809 (286)
An application of the Lyapunov-Schmidt method to semilinear elliptic problems
Electronic Journal of Differential Equations, 2005 In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system $$displaylines{ -Delta u=lambda u+delta v+f(u,v), cr -Delta v=heta u+ gamma v+g(u,v), }$$ on a bounded domain of $mathbb{R}^n$, with zero Dirichlet ...
Quoc Anh Ngo
doaj
Journal of Applied Mathematics, 2014 We develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. As its application, an elliptic system modeling a population divided into juvenile and adult age groups is studied, and we find ...
Ruyun Ma, Ruipeng Chen, Yanqiong Lu
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Advanced Healthcare Materials, EarlyView.Wound closure is governed by geometry‐orientation coupling: aligned fibers speed migration along their axis but hinder perpendicular advance. In vivo diabetic wound experiments with composition‐matched fibrin, combined with an anisotropic diffusion (biased random‐walk) model, quantify this trade‐off and generate a healing landscape.
Yin‐Yuan Huang +13 more
wiley +1 more source
Enhanced Endoscopic Internal Drainage of Gastric Abscess Through Additively Manufactured Stents
Advanced Healthcare Materials, EarlyView.Postoperative gastric leaks are often treated with off‐label biliary double‐pigtail stents, yet conventional extruded designs are not optimized for leak anatomy, can migrate, and may limit abscess evacuation. PETALS is introduced to optimize transmural drainage geometry and enable patient‐specific 3D‐printable stents.
Parima Phowarasoontorn +14 more
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Controllable Dynamic Mechanical Cell Stimulation using Magnetically Actuated Artificial Cilia
Advanced Healthcare Materials, EarlyView.This paper introduces a platform based on magnetic artificial cilia for providing controllable dynamic mechanical stimulation to single cells, suitable for investigating large cell populations and enabling live cell imaging. Proof‐of‐principle experiments show that cell morphology is strongly influenced by the artificial cilia, that cellular forces can
Roel Kooi +5 more
wiley +1 more source
Advanced Healthcare Materials, EarlyView.A superhydrophobic 3D cell culture platform enables rapid and consistent formation of heterotypic tumor–stroma clusters, and reveals how physiological shear conditions influence metastatic signaling. Mechanical stimulation of cancer‐associated fibroblasts promotes sustained cytokine secretion and survival‐promoting pathways, showing how multicellular ...
Alexandria T. Carter +5 more
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Elliptic sectors and Euler discretization
Electronic Journal of Differential Equations, 2018 In this work we are interested in the elliptic sector of autonomous differential systems with a degenerate equilibrium point at the origin, and in their Euler discretization.
Nadia Mohdeb +2 more
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Engineered Protein‐Based Ionic Conductors for Sustainable Energy Storage Applications
Advanced Materials, EarlyView.Rational incorporation of charged residues into an engineered, self‐assembling protein scaffold yields solid‐state protein films with outstanding ionic conductivity. Salt‐doping further enhances conductivity, an effect amplified in the engineered variants. These properties enable the material integration into an efficient supercapacitor.
Juan David Cortés‐Ossa +14 more
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A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
Symmetry, Integrability and Geometry: Methods and Applications, 2012 A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when γ=2 to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov structure.
Hongli An, Colin Rogers
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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
wiley +1 more source