Search results for "folds"

showing 10 items of 298 documents

Scaffold vascularization in vivo driven by primary human osteoblasts in concert with host inflammatory cells.

2011

Successful cell-based tissue engineering requires a rapid and thorough vascularization in order to ensure long-term implant survival and tissue integration. The vascularization of a scaffold is a complex process, and is modulated by the presence of transplanted cells, exogenous and endogenous signaling proteins, and the host tissue reaction, among other influencing factors. This paper presents evidence for the significance of pre-seeded osteoblasts for the in vivo vascularization of a biodegradable scaffold. Human osteoblasts, cultured on silk fibroin micronets in vitro, migrated throughout the interconnected pores of the scaffold and produced extensive bone matrix. When these constructs we…

Vascular Endothelial Growth Factor AScaffoldMaterials scienceTime FactorsAngiogenesisCellBiophysicsFibroinNeovascularization PhysiologicBioengineeringMice SCIDBiomaterialsProsthesis ImplantationMiceTissue engineeringIn vivomedicineAnimalsHumansCells CulturedInflammationOsteoblastsTissue ScaffoldsIn vitroCell biologymedicine.anatomical_structureMechanics of MaterialsGiant cellCeramics and CompositesBlood VesselsFibroinsBiomedical engineeringBiomaterials
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Tratamiento de las lesiones precancerosas de las cuerdas vocales.

2006

After peer review of clinical and histological classifications of precancerosis lesions, we studied 180 cases in the period 1982 through 1999. We divided clinically the cases in: leucoplakia, erythroplakia and erythroleucoplakia; and histologically in: LIN 1, LIN 2, LIN 3 e carcinoma in situ. After surgery, we considered, in each group, clinical development with follow-up over five years.

Vocal foldsPrecancerosi
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Effects of fabrication on the mechanics, microstructure and micromechanical environment of small intestinal submucosa scaffolds for vascular tissue e…

2013

In small intestinal submucosa scaffolds for functional tissue engineering, the impact of scaffold fabrication parameters on success rate may be related to the mechanotransductory properties of the final microstructural organization of collagen fibers. We hypothesized that two fabrication parameters, 1) preservation (P) or removal (R) of a dense collagen layer present in SIS and 2) SIS in a final dehydrated (D) or hydrated (H) state, have an effect on scaffold void area, microstructural anisotropy (fiber alignment) and mechanical anisotropy (global mechanical compliance). We further integrated our experimental measurements in a constitutive model to explore final effects on the micromechanic…

Void (astronomy)ScaffoldMaterials scienceFabricationSwineBiomedical EngineeringBiophysicsScaffoldTissue engineeringIntestine SmallAnimalsOrthopedics and Sports MedicineIntestinal MucosaAnisotropyMicrostructureTissue EngineeringTissue ScaffoldsRehabilitationMicromechanicsSIS (small intestine submucosa)MicrostructureSmall intestinal submucosaExtracellular MatrixConstitutive modelingAnisotropyCollagenStress MechanicalMechanical propertieBiomedical engineeringJournal of biomechanics
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Ricci Tensors on Some Infinite Dimensional Lie Algebras

1999

Abstract The Ricci tensor has been computed in several infinite dimensional situations. In this work, we shall be interested in the case of the central extension of loop groups and in the asymptotic behaviour of the Ricci tensor on free loop groups as the Riemannian metric varies.

Weyl tensorPure mathematicsRiemann curvature tensorCurvature of Riemannian manifoldsMathematical analysisRicci flowEinstein tensorsymbols.namesakeLanczos tensorsymbolsRicci decompositionMathematics::Differential GeometryRicci curvatureAnalysisMathematicsJournal of Functional Analysis
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Weak Levi-Civita Connection for the Damped Metric on the Riemannian Path Space and Vanishing of Ricci Tensor in Adapted Differential Geometry

2001

Abstract We shall establish in the context of adapted differential geometry on the path space P m o ( M ) a Weitzenbock formula which generalizes that in (A. B. Cruzeiro and P. Malliavin, J. Funct. Anal . 177 (2000), 219–253), without hypothesis on the Ricci tensor. The renormalized Ricci tensor will be vanished. The connection introduced in (A. B. Cruzeiro and S. Fang, 1997, J. Funct. Anal. 143 , 400–414) will play a central role.

Weyl tensorRiemann curvature tensorCurvature of Riemannian manifoldsMathematical analysisRicci flowsymbols.namesakeLanczos tensorsymbolsRicci decompositionTensor densityRicci curvatureAnalysisMathematical physicsMathematicsJournal of Functional Analysis
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Polystyrene nanoparticle-templated hollow titania nanosphere monolayers as ordered scaffolds

2018

We report a novel multi-step method for the preparation of ordered mesoporous titania scaffolds and show an illustrative example of their application to solar cells. The method is based on (monolayer) colloidal nanosphere lithography that makes use of polystyrene nanoparticles organised at a water–air interface and subsequently transferred onto a solid substrate. A titania precursor solution (titanium(IV) isopropoxide in ethanol) is then drop-cast onto the monolayer and left to “incubate” overnight. Surprisingly, instead of the expected inverse monolayer-structure, a subsequent calcination step of the precursor yields an ordered monolayer of hollow titania nanospheres with a wall thickness …

X ray diffractionX ray photoelectron spectroscopySolar cellMonolayer structureWater-air interfaceMonolayerPhase interfaceSettore ING-INF/01NanocrystalPerovskiteNanocrystalline anatasePerovskite solar cellPolystyrene nanoparticlePower conversion efficienciePrecursor solutionNanoparticleTitanium compoundInterfaces (materials)Interfaces (materials); Monolayers; Nanocrystals; Nanoparticles; Nanospheres; Perovskite; Perovskite solar cells; Phase interfaces; Polystyrenes; Scaffolds (biology); Solar cells; Titanium compounds; Titanium dioxide; X ray diffraction; Monolayer structures; Nano Sphere Lithography; Nanocrystalline anatase; Polystyrene nanoparticles; Power conversion efficiencies; Precursor solutions; Titania nanospheres; Water-air interface; X ray photoelectron spectroscopyTitanium dioxideScaffolds (biology)Nano Sphere LithographyNanospherePolystyreneTitania nanosphere
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Building Anosov flows on $3$–manifolds

2014

We prove a result allowing to build (transitive or non-transitive) Anosov flows on 3-manifolds by gluing together filtrating neighborhoods of hyperbolic sets. We give several applications; for example: 1. we build a 3-manifold supporting both of a transitive Anosov vector field and a non-transitive Anosov vector field; 2. for any n, we build a 3-manifold M supporting at least n pairwise different Anosov vector fields; 3. we build transitive attractors with prescribed entrance foliation; in particular, we construct some incoherent transitive attractors; 4. we build a transitive Anosov vector field admitting infinitely many pairwise non-isotopic trans- verse tori.

[ MATH ] Mathematics [math]Pure mathematicsAnosov flowMathematics::Dynamical Systems3–manifolds[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Dynamical Systems (math.DS)$3$–manifolds01 natural sciencesFoliationsSet (abstract data type)MSC: Primary: 37D20 Secondary: 57M9957M99Diffeomorphisms0103 physical sciencesAttractorFOS: Mathematics0101 mathematics[MATH]Mathematics [math]Mathematics - Dynamical SystemsManifoldsMathematics::Symplectic Geometry3-manifold37D20 57MMathematicsTransitive relation37D20010308 nuclear & particles physics010102 general mathematicsTorusMathematics::Geometric TopologyFlow (mathematics)Anosov flowsFoliation (geology)Vector fieldhyperbolic plugsGeometry and Topologyhyperbolic basic set3-manifold
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On the classification of Kim and Kostrikin manifolds

2006

International audience; We completely classify the topological and geometric structures of some series of closed connected orientable 3-manifolds introduced by Kim and Kostrikin in [20, 21] as quotient spaces of certain polyhedral 3-cells by pairwise identifications of their boundary faces. Then we study further classes of closed orientable 3-manifolds arising from similar polyhedral schemata, and describe their topological properties.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]3-manifolds; group presentations; spines; orbifolds; polyhedral schemata; branched coveringsAlgebra and Number TheorySeries (mathematics)010102 general mathematicsBoundary (topology)spines0102 computer and information sciences01 natural sciencesgroup presentations3-manifoldsCombinatoricspolyhedral schemata010201 computation theory & mathematics[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]Pairwise comparisonorbifoldsbranched coverings0101 mathematicsQuotient[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]Mathematics
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3-manifolds which are orbit spaces of diffeomorphisms

2008

Abstract In a very general setting, we show that a 3-manifold obtained as the orbit space of the basin of a topological attractor is either S 2 × S 1 or irreducible. We then study in more detail the topology of a class of 3-manifolds which are also orbit spaces and arise as invariants of gradient-like diffeomorphisms (in dimension 3). Up to a finite number of exceptions, which we explicitly describe, all these manifolds are Haken and, by changing the diffeomorphism by a finite power, all the Seifert components of the Jaco–Shalen–Johannson decomposition of these manifolds are made into product circle bundles.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Seifert fibrationsClass (set theory)Pure mathematicsGradient-like diffeomorphism[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]Dimension (graph theory)[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Space (mathematics)01 natural sciences[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciencesAttractorJaco–Shalen–Johannson decomposition0101 mathematicsFinite setMathematics::Symplectic Geometry[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]Mathematics010102 general mathematicsMathematical analysisMathematics::Geometric Topology3-manifoldsProduct (mathematics)010307 mathematical physicsGeometry and TopologyDiffeomorphismOrbit (control theory)
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Moment-angle complexes and complexe manifolds

2010

The aim of this thesis is to extend the results of the article [B-M] on the relations between moment-angle complexes and complex manifolds. We will focus here on moment-angle complexes defined by a simplicial (not only polytopal) decomposition of the sphere. We will also seek to use the relationship between these two kinds of objects to be understand the topology of several complex manifolds. [B-M] F.Bosio, L.Meersseman, Real quadrics in Cn, complex manifolds and polytopes, Acta Mathematica, 197 (2006), n° 1, 53 -- 127.

[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Complex manifoldsSphères simpliciales[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Complexes moment-angle[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Moment-angle complexesVariétés complexesSimplicial spheres
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