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Differentiable manifolds: a theoretical physics approach
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The first three chapters introduce the basic concepts of the
Torres del Castillo, Gerardo F
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This study presents a magneto‐mechanical strategy that incorporates FP@MSCs into an aligned PCL/GelMA nerve guidance conduit. Magnetic stimulation increases membrane tension in FP@MSCs, triggering cytoskeletal remodeling, Schwann cell‐like differentiation, and TIMP1 secretion. TIMP1 activates ITGB1/CD63–FAK signaling in NE‐4C cells, increasing membrane
Xinyu Zhu +14 more
wiley +1 more source
Kahler manifolds and their relatives [PDF]
Let M1 and M2 be two K¨ahler manifolds. We call M1 and M2 relatives if they share a non-trivial K¨ahler submanifold S, namely, if there exist two holomorphic and isometric immersions (K¨ahler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two K¨ahler
Loi, A., Di Scala, Antonio Jose'
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Dynamic compression enhances mesenchymal stromal cell proliferation in nonwoven PET scaffolds under chondrogenic differentiation conditions and triggers mechanosensitive transcriptional programs associated with extracellular matrix remodeling. These findings highlight the potential of mechanically stimulated PET scaffolds as a promising platform for ...
Graciosa Quelhas Teixeira +8 more
wiley +1 more source
Harmonic mappings between surfaces : some local and global properties [PDF]
We develop some local and global properties of a harmonic map f :M -> N between surfaces. Our first main result is a local description of the possible singularities of such a harmonic map - we find there are four types: degeneracy, general fold ...
Wood, John C.
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A folic acid (FA)‐conjugated 2‐deoxyglucose dendrimer selectively targets FRβ+ macrophages in endometriotic lesions, enabling precise intracellular delivery of niclosamide. This nonhormonal nanomedicine enhances drug solubility, provides controlled intracellular release, suppresses lesion growth, reduces inflammation and pain, and establishes FRβ ...
Anubhav Dhull +11 more
wiley +1 more source
Optical Detection of Cellular Signals at Material Interfaces
Emerging functional materials are transforming optical detection of cellular signals. This review highlights optical techniques that exploit the unique optical properties of diverse materials to detect and quantify cellular electrical, chemical, and mechanical signals, and discusses key opportunities and challenges.
Xuchen Ren +5 more
wiley +1 more source
This work introduces a “cancer‐in‐a‐well” technology that recreates tumor heterogeneity in vitro using multitype spheroid arrays. Combining bioprinting/microdispensing with microstructured culture devices, the system improves drug screening and modeling of tumor complexity.
Simone Bonetti +10 more
wiley +1 more source
This study demonstrates that Tf‐PDA NPs combine a receptor‐mediated targeting with mild photothermal activation to enhance nanoparticle accumulation in the brain. NIR‐activated Tf‐PDA NPs increase BBB permeability to NPs in vitro and in vivo without inducing cytotoxicity or adverse immune responses.
Rafaela Ferrão +5 more
wiley +1 more source
Martingales on manifolds and geometric Ito calculus [PDF]
This work studies properties of stochastic processes taking values in a differential manifold M with a linear connection Γ, or in a Riemannian manifold with a metric connection.
Darling, R. W. R.
core

