Results 101 to 110 of about 178,189 (280)

Existence of positive solutions for some nonlinear elliptic systems on the half space

Electronic Journal of Differential Equations, 2011
We prove some existence of positive solutions to the semilinear elliptic system $$displaylines{ Delta u =lambda p(x)g(v)cr Delta v =mu q(x)f(u) }$$ in the half space ${mathbb{R}}^n_+$, $ngeq 2$, subject to some Dirichlet conditions, where $lambda$
Noureddine Zeddini
doaj  

Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations

Моделирование и анализ информационных систем, 2014
The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
doaj   +1 more source

Fluid Forces Control Structural Remodeling of Blind‐Ended Lymphatic Microvessels

Advanced Healthcare Materials, EarlyView.
Using innovative microfluidic biofabrication with fluid mechanical insights, we recapitulated the blind‐ended microanatomy and physiological drainage properties of capillary lymphatics. Our results reveal the interrelationship between intra‐ and extraluminal regions of lymphatic vessels due to flow‐induced sprouting and morphological changes that ...
Jacob C. Holter, Shashwat S. Agarwal, Joseph W. Tinapple, Joseph M. Barlage, Travis H. Jones, Jonathan W. Song   +5 more
wiley   +1 more source

Maximum principle and existence results for elliptic systems on R^N

Electronic Journal of Differential Equations, 2010
In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on the whole $mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative
Liamidi Leadi, Aboubacar Marcos
doaj  

SiO2‐CaOCME/Poly(Tetrahydrofuran)/Poly(Caprolactone) 3D‐Printed Scaffolds Drive Human‐Bone Marrow Stromal Cell Osteogenic Differentiation

Advanced Healthcare Materials, EarlyView.
3D printed hybrid scaffolds combining bioactive silica–calcium chemistry with elastic polymers guide human bone stem cells to form bone. The scaffolds support cell survival, organization, and invasion while releasing osteogenic ions. Together, architecture and composition drive bone‐specific gene expression, extracellular matrix organization, and ...
David R. Sory, Agathe C.M. Heyraud, Julian R. Jones, Sara M. Rankin   +3 more
wiley   +1 more source

Wound Geometry Determines Whether Aligned‐Fiber Scaffolds Accelerate or Impede Diabetic Wound Healing: A Biased Random Walk Analysis

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, Xiangjun Peng, Yuxuan Huang, Kunkoo Kim, Chengli Li, Peilun Hu, Sean J. Wang, Rohan Avula, Chun‐Yi Yang, Pengchao Ma, Shuhui Yang, Shumeng Jiang, Guy M. Genin, Xiumei Wang   +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, Yongbin Ko, Juan S. Barajas‐Gamboa, Juan P. Pantoja, Oraib Al‐Ketan, Mohamed Ali, Sungyun Sohn, Heba Tageldeen Naser, Abdel‐Hameed Dabbour, Batoul Khlaifat, Ahmed AlZubaidi, Carlos Abril Vega, John Rodriguez, Matthew Kroh, Khalil B. Ramadi   +14 more
wiley   +1 more source

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, Tanveer Ul Islam, Oscar M.J.A. Stassen, Naomie Amsing, Jan de Boer, Jaap M.J. den Toonder   +5 more
wiley   +1 more source

Existence of positive radial solutions of general quasilinear elliptic systems

Advances in Nonlinear Analysis
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
doaj   +1 more source

A Superhydrophobic 3D Cell Culture System Reveals the Mechanobiological Role of Cancer‐Associated Fibroblasts in Prostate Cancer Metastasis

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, Abigail R. Fabiano, Ehsan Aalaei, Jason Deng, Dakota E. Rostant, Michael R. King   +5 more
wiley   +1 more source