Results 121 to 130 of about 238,845 (376)

Existence of a unique solution to an elliptic partial differential equation

open access: yesElectronic Journal of Differential Equations, 2019
The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation $-\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that $u(\mathbf{x}_0)=u_0$ at a ...
Diane L. Denny
doaj  

Highly Tunable and Cell‐Remodelable Thiol‐ene Alginate‐Peptide Crosslinked Hydrogels to Recreate Cellular and Organoid Microenvironments for Biofabrication

open access: yesAdvanced Healthcare Materials, EarlyView.
Norbornene‐functionalized alginate is crosslinked with a di‐thiolated peptide sequence cleavable by cell‐secreted matrix metalloproteinases and decorated with cell‐adhesion peptides upon exposure to UV. Thyroid follicles, endometrial and intestinal organoids are encapsulated in a gentle manner with high cell viability and correct phenotype ...
Julia Fernández‐Pérez   +8 more
wiley   +1 more source

Analytical and dynamical insights into the truncated M-fractional Akbota equation

open access: yesBoundary Value Problems
This paper investigates the truncated M-fractional Akbota equation via the application of Jacobi elliptic function expansion approach. Akbota is an integrable Heisenberg ferromagnetic couple system of equations that is very useful to visualize and study ...
Muhammad Ishfaq Khan   +5 more
doaj   +1 more source

Discussion summary: Fictitious domain methods [PDF]

open access: yes
Fictitious Domain methods are constructed in the following manner: Suppose a partial differential equation is to be solved on an open bounded set, Omega, in 2-D or 3-D. Let R be a rectangle domain containing the closure of Omega. The partial differential
Glowinski, Rowland, Rodrigue, Garry
core   +1 more source

An Ultrapotent, Ultraeconomical, Antifreeze Polypeptide

open access: yesAdvanced Materials, EarlyView.
Simple and inexpensive polypeptides composed of random copolymers of alanine and glutamic acid are effective antifreezes for applications in foods and biomedicine. The polypeptides, inspired by natural extremophile proteins, inhibit the growth of large ice crystals and prevent damage to sensitive biologics.
Thomas J. McPartlon   +5 more
wiley   +1 more source

Light‐Activated Micromotors in Air Propelled by Thermal Convection

open access: yesAdvanced Materials, EarlyView.
Near‐infrared‐driven micromotors in air can overcome gravity and generate convective motion by a light‐induced thermal mechanism driven by a temperature gradient in the air caused by the interaction of the gold nanoparticles present on the surface of ZnO and NIR irradiation.
Pedro Mena‐Giraldo   +6 more
wiley   +1 more source

Parameter estimation problems for distributed systems using a multigrid method [PDF]

open access: yes
The problem of estimating spatially varying coefficients of partial differential equations is considered from observation of the solution and of the right hand side of the equation.
Dutt, P., Taasan, S.
core   +1 more source

Photothermally Powered 3D Microgels Mechanically Regulate Mesenchymal Stem Cells Under Anisotropic Force

open access: yesAdvanced Materials, EarlyView.
The photothermally powered microgel is designed to mechanically train mesenchymal stem cells using spatially patterned exogenous forces in three‐dimensional (3D) workspaces. When microgels are activated selectively via photothermal actuation, locally confined tens of nN forces are exerted on cells, triggering osteogenic differentiation in encapsulated ...
Chen Wang   +7 more
wiley   +1 more source

Colossal Cryogenic Electro‐Optic Response Through Metastability in Strained BaTiO3 Thin Films

open access: yesAdvanced Materials, EarlyView.
Utilizing the thermodynamic theory of optical properties, a colossal cryogenic electro‐optic response in BaTiO3 thin films is designed and demonstrated by stabilizing a low symmetry metastable monoclinic phase via epitaxial strain tuning with an electro‐optic response reaching ≈2516 pm V−1 at 5 K. This approach represents a new paradigm for engineering
Albert Suceava   +16 more
wiley   +1 more source

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