Results 81 to 90 of about 215,203 (278)
Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
Advances in Difference Equations, 2018 This paper deals with the analytical solutions for two models of special interest in mathematical physics, namely the ( 2 + 1 ) $(2+1)$ -dimensional generalized Calogero-Bogoyavlenskii-Schiff equation and the ( 3 + 1 ) $(3+1)$ -dimensional generalized ...
Bo Huang, Shaofen Xie
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Advanced Functional Materials, EarlyView.Reprogrammable multi‐material smart textiles knitted from liquid crystal elastomer fibers undergo 2D and 3D deformation under thermal and photo stimuli. Circularly knitted tubular structures reversibly contract in radial and axial directions, enabling autonomous climbing, liquid release, and micro pumping.
Xue Wan +8 more
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Amyloidogenic Peptide Fragments Designed From Bacterial Collagen‐like Proteins Form Hydrogel
Advanced Functional Materials, EarlyView.This study identified amyloidogenic sequence motifs in bacterial collagen‐like proteins and exploited these to design peptides that self‐assemble into β‐sheet fibers and form hydrogels. One hydrogel supported healthy fibroblast growth, showing promise for biocompatible materials. Our work demonstrates that bacterial sequences can be harnessed to create
Vamika Sagar +5 more
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Advanced Healthcare Materials, EarlyView.Design rules are presented to control intestinal organoid polarity in fully synthetic hydrogels. The laminin‐derived IKVAV sequence is crucial to obtain correct intestinal organoid polarity. Increasing hydrogel dynamics further supports the growth of correctly polarized intestinal organoids, while a bulk level of stiffness (G’ ≈ 0.7 kPa) is crucial to ...
Laura Rijns +10 more
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Electronic Journal of Differential Equations, 2018 Using the descent method for the fundamental solution of the heat equation with a scalar parameter, we find the fundamental solution of the multidimensional Helmholtz equation in an explicit form.
Tynysbek Sh. Kal'menov +2 more
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Advanced Healthcare Materials, EarlyView.A methacrylamide β‐cyclodextrin‐based nanogel (MACD nGel) is developed to load the antimicrobial drug Metronidazole (MNZ) for topical delivery for the treatment of periodontitis. It is demonstrated that cyclodextrin nanogel (nGel) loaded with metronidazole provides an efficient drug delivery route but also has potential clinical applications and offers
Yanjing Ji +8 more
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Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method
Abstract and Applied Analysis, 2012 The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform ...
Hossein Jafari +2 more
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Weierstrass elliptic difference equations [PDF]
Bulletin of the Australian Mathematical Society, 1987 The Weierstrass elliptic function satisfies a nonlinear first order and a nonlinear second order differential equation. It is shown that these differential equations can be discretized in such a way that the solutions of the resulting difference equations exactly coincide with the corresponding values of the elliptic function.
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Advanced Healthcare Materials, EarlyView.A novel method that combines 3D printing and organ‐on‐chip technology enables the creation of hollow channels lined with endothelial cells through a fibroblast‐populated connective tissue matrix. The model supports stable metabolic culture conditions, angiogenic sprouting, and immune cell migration, thereby demonstrating an easy and versatile method to
Jonas Jäger +7 more
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Degenerate elliptic equations [PDF]
Pacific Journal of Mathematics, 1964 Redheffer, R. M., Straus, E. G.
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