Search results for "C2"

showing 10 items of 879 documents

Type II Odontoid Fracture: a case series highlighting the treatment strategies

2019

Background: A type II odontoid fracture, if unstable, can cause spinal cord damage. In this case, it is essential to choose the correct treatment—but the issues of what the correct treatment is and which of the different surgical options is best are quite controversial. In this paper we present strategies for treatment of type II odontoid fracture. Materials and Methods: Thirty consecutive cases of type II odontoid fracture were treated at the Division of Neurosurgery at Villa Sofia Hospital in Palermo (23 cases) and at the Neurosurgical Clinic, University Hospital of Palermo (seven cases), from January 2011 to August 2016. Four patients were treated with external immobilization. Twenty-six…

Type II odontoid fracturemedicine.medical_specialtyC1–C2 instabilitySettore MED/27 - Neurochirurgiabusiness.industryBone ScrewExternal FixatorSpinal cord030218 nuclear medicine & medical imagingSurgeryFracture Fixation InternalOdontoid Proce03 medical and health sciences0302 clinical medicinemedicine.anatomical_structureC1–C2 articular screwFracture FixationmedicineSpinal FracturesTreatment strategybusinessOdontoid screw030217 neurology & neurosurgeryHumanOdontoid fracture
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Rescaling principle for isolated essential singularities of quasiregular mappings

2012

We establish a rescaling theorem for isolated essential singularities of quasiregular mappings. As a consequence we show that the class of closed manifolds receiving a quasiregular mapping from a punctured unit ball with an essential singularity at the origin is exactly the class of closed quasiregularly elliptic manifolds, that is, closed manifolds receiving a non-constant quasiregular mapping from a Euclidean space.

Unit sphereEssential singularityClass (set theory)Pure mathematicsmath.CVMathematics - Complex VariablesMathematics::Complex VariablesEuclidean spacemath.MGApplied MathematicsGeneral MathematicsPrimary 30C65 Secondary 53C21 32H02010102 general mathematics16. Peace & justiceMathematics::Geometric Topology01 natural sciencesRescaling010101 applied mathematicsQuasiregular mappingMathematics - Metric GeometryIsolated essential singularities111 MathematicsGravitational singularity0101 mathematicsMathematicsProceedings of the American Mathematical Society
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THE 1-HARMONIC FLOW WITH VALUES IN A HYPEROCTANT OF THE N-SPHERE

2014

We prove the existence of solutions to the 1-harmonic flow — that is, the formal gradient flow of the total variation of a vector field with respect to the [math] -distance — from a domain of [math] into a hyperoctant of the [math] -dimensional unit sphere, [math] , under homogeneous Neumann boundary conditions. In particular, we characterize the lower-order term appearing in the Euler–Lagrange formulation in terms of the “geodesic representative” of a BV-director field on its jump set. Such characterization relies on a lower semicontinuity argument which leads to a nontrivial and nonconvex minimization problem: to find a shortest path between two points on [math] with respect to a metric w…

Unit spherenonconvex variational problemsriemannian manifolds with boundaryGeodesicn-sphereharmonic flows68U1053C2253C4435K9235K67Neumann boundary conditionpartial differential equations49J45MathematicsNumerical Analysisnonlinear parabolic systems; lower semicontinuity and relaxation; total variation flow; 1-harmonic flow; image processing; harmonic flows; partial differential equations; image processing.; geodesics; riemannian manifolds with boundary; nonconvex variational problemslower semicontinuity and relaxation58E20Applied MathematicsMathematical analysis49Q201-harmonic flowimage processingFlow (mathematics)35K55Metric (mathematics)total variation flowVector fieldnonlinear parabolic systemsBalanced flowAnalysisgeodesics
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Human Papilloma Virus-Dependent HMGA1 Expression Is a Relevant Step in Cervical Carcinogenesis

2008

HMGA1 is a member of a small family of architectural transcription factors involved in the coordinate assembly of multiprotein complexes referred to as enhanceosomes. In addition to their role in cell proliferation, differentiation, and development, high-mobility group proteins of the A type (HMGA) family members behave as transforming protoncogenes either in vitro or in animal models. Recent reports indicated that HMGA1 might counteract p53 pathway and provided an interesting hint on the mechanisms determining HMGA's transforming potential. HMGA1 expression is deregulated in a very large array of human tumors, including cervical cancer, but very limited information is available on the mole…

Uterine Cervical NeoplasmCancer ResearchDNA-Binding ProteinBiologyHeLa Celllcsh:RC254-282DNA-binding proteinRNA interferenceCell Line TumorHMGA1a ProteinRNA MessengerReceptor Notch1PapillomaviridaePapillomavirus InfectionPsychological repressionTranscription factorCell ProliferationReverse Transcriptase Polymerase Chain ReactionGene Expression ProfilingHMGAOncogene Proteins ViralCell Transformation Virallcsh:Neoplasms. Tumors. Oncology. Including cancer and carcinogensHMGA1Gene Expression Regulation NeoplasticGene expression profilingCancer cellCancer researchbiology.proteinFemaleTumor Suppressor Protein p53HumanNeoplasia
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Endoplasmic Reticulum stress reduces COPII vesicle formation and modifies Sec23a cycling at ERESs

2013

AbstractExit from the Endoplasmic Reticulum (ER) of newly synthesized proteins is mediated by COPII vesicles that bud from the ER at the ER Exit Sites (ERESs). Disruption of ER homeostasis causes accumulation of unfolded and misfolded proteins in the ER. This condition is referred to as ER stress. Previously, we demonstrated that ER stress rapidly impairs the formation of COPII vesicles. Here, we show that membrane association of COPII components, and in particular of Sec23a, is impaired by ER stress-inducing agents suggesting the existence of a dynamic interplay between protein folding and COPII assembly at the ER.

Vesicular Transport ProteinsBiophysicsEndoplasmic ReticulumBiochemistryCell LineVesicular Transport ProteinGeneticStructural BiologyERESGeneticsVesicular Transport ProteinsHumansCOPIIEndoplasmic Reticulum StreMolecular BiologyCOPIIChemistryVesicleEndoplasmic reticulumSec23Cell BiologyCOP-Coated VesiclesSEC23AEndoplasmic Reticulum StressCell biologyBiophysicUnfolded protein responseER streProtein foldingCOP-Coated VesiclesER stressCOP-Coated VesicleHumanProtein BindingFEBS Letters
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A posteriori error estimates for Webster's equation in wave propagation

2015

We consider a generalised Webster’s equation for describing wave propagation in curved tubular structures such as variable diameter acoustic wave guides. Webster’s equation in generalised form has been rigorously derived in a previous article starting from the wave equation, and it approximates cross-sectional averages of the propagating wave. Here, the approximation error is estimated by an a posteriori technique. peerReviewed

Wave propagationWave propagationApplied MathematicsMathematical analysista111Tubular domainDynamical Systems (math.DS)Acoustic waveWave equationPrimary 37L05. Secondary 35L05 35L20 47N70 93C20A posteriori error analysisMathematics - Analysis of PDEsApproximation errorFOS: MathematicsCalculusA priori and a posterioriWebster's modelMathematics - Dynamical SystemsAnalysisAnalysis of PDEs (math.AP)MathematicsVariable (mathematics)
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More hours, more jobs? The employment effects of longer working hours

2014

Increases in standard hours of work have been a contentious policy issue in Germany. Whilst this might directly lead to a substitution of workers by hours, there may also be a positive employment effect due to reduced costs. Moreover, the response of firms may differ between firms that offer overtime and those that do not. For a panel of German plants (2001–2006) drawn from the IAB Establishment Panel, we are the first to analyse the effect of increased standard hours on employment. Using difference-in-difference methods we find that, consistent with theory, overtime plants showed a significant positive employment response, whilst for standard-time plants there is no difference between plan…

Working hoursEconomics and EconometricsLabour economicsmedia_common.quotation_subjectWageworking hours wage concession overtime paymentsjel:C23Overtimefood and beveragesjel:J81Working timeDifference in differencesjel:J23Economicsplant-level data employment working time difference-in-differencesmedia_common
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Oб определении внутримолекулярной потенциальной функции многоатомной молекулы H2S

2008

In modern molecular physics, there are two basic methods of determining the intramolecular potential function of polyatomic molecules. The first method is ab initio calculations and the second is the so-called semi-empirical method in which the Hamiltonian parameters are varied by direct construction of the Hamiltonian matrix. In the present work, the second approach is discussed on the example of the XY2 three-atomic molecule of the C2v symmetry. On the one hand, it is extremely simple for implementation, and on the other hand, it considerably extends the capability of application of the traditional semi-empirical methods. The approach suggested involves two aspects that make it advantageo…

XY2 three-atomic molecule of C2v symmetry -H2S[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph][ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Intramolecular potential function[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]
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A Franks' lemma that preserves invariant manifolds

2009

A well-known lemma by John Franks asserts that one obtains any perturbation of the derivative of a diffeomorphism along a periodic orbit by a $C^1$-perturbation of the whole diffeomorphism on a small neighbourhood of the orbit. However, one does not control where the invariant manifolds of the orbit are, after perturbation. We show that if the perturbated derivative is obtained by an isotopy along which some strong stable/unstable manifolds of some dimensions exist, then the Franks perturbation can be done preserving the corresponding stable/unstable semi-local manifolds. This is a general perturbative tool in $C^1$-dynamics that has many consequences. We give simple examples of such conseq…

[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]FOS: Mathematics37C25 37C29 37C20 37D10[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Dynamical Systems (math.DS)Mathematics - Dynamical Systems
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Ping-pong configurations and circular orders on free groups

2017

We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or Markov partitions. Using this, we show that the free group $F_n$ admits an isolated circular order if and only if n is even, in stark contrast with the case for linear orders. This answers a question from (Mann, Rivas, 2016). Inspired by work of Alvarez, Barrientos, Filimonov, Kleptsyn, Malicet, Menino and Triestino, we also exhibit examples of "exotic" isolated points in the space of all circular orders on $F_2$. Analogous results are obtained for linear orders on the groups $F_n \times \mathbb{Z}$.

[ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]MSC2010: Primary 20F60 57M60. Secondary 20E05 37C85 37E05 37E10 57M60.Extension (predicate logic)Group Theory (math.GR)Dynamical Systems (math.DS)Space (mathematics)20F60 57M60[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]CombinatoricsFree groupsOne-dimensional dynamicsFree groupPing pongFOS: MathematicsDiscrete Mathematics and CombinatoricsOrder (group theory)Geometry and TopologyMathematics - Dynamical SystemsMathematics - Group TheoryMathematicsOrders on groups
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