Regular projections of graphs with at most three double points

A generic immersion of a planar graph into the 2-space is said to be knotted if there does not exist a trivial embedding of the graph into the 3-space obtained by lifting the immersion with respect to the natural projection from the 3-space to the 2-space. In this paper we show that if a generic immersion of a planar graph is knotted then the number of double points of the immersion is more than or equal to three. To prove this, we also show that an embedding of a graph obtained from a generic immersion of the graph (does not need to be planar) with at most three double points is totally free if it contains neither a Hopf link nor a trefoil knot.Comment: 16 pages, 31 figure

Characterization of Knots and Links Arising From Site-specific Recombination on Twist Knots

We develop a model characterizing all possible knots and links arising from recombination starting with a twist knot substrate, extending previous work of Buck and Flapan. We show that all knot or link products fall into three well-understood families of knots and links, and prove that given a positive integer $n$, the number of product knots and links with minimal crossing number equal to $n$ grows proportionally to $n^5$. In the (common) case of twist knot substrates whose products have minimal crossing number one more than the substrate, we prove that the types of products are tightly prescribed. Finally, we give two simple examples to illustrate how this model can help determine previously uncharacterized experimental data.Comment: 32 pages, 7 tables, 27 figures, revised: figures re-arranged, and minor corrections. To appear in Journal of Physics

Role of Echocardiography in Percutaneous Mitral Valve Interventions

Intraprocedural imaging continues to evolve in parallel with advances in percutaneous mitral valve interventions. This didactic review uses several illustrations and rich intraprocedural videos to further describe and demonstrate the role of the most up-to-date echocardiographic and advanced imaging technologies in the patient selection and intraprocedural guidance of percutaneous mitral valve interventions. We will focus on 3 interventions: 1) percutaneous balloon mitral valvuloplasty for mitral stenosis; 2) transcatheter edge-to-edge repair of mitral valve regurgitation; and 3) transcatheter closure of periprosthetic mitral regurgitation. In addition, we discuss potential pitfalls of 3-dimensional transesophageal echocardiography and show examples of this technique

TCO evaluation in physical asset management : benefits and limitations for industrial adoption

Part 1: Knowledge-Based Performance ImprovementInternational audienceNowadays, the evaluation of the total cost of ownership (TCO) of an asset for supporting informed decision-making both for investments and managerial issues within the asset management framework is gaining increasing attention in industry. Nevertheless its application in practice is still limited. The aim of this paper is to analyze the benefits and limitations of the adoption of TCO evaluation in asset management. Based on a literature review, the paper defines a framework that categorizes the benefits and potential applications that a TCO model can have for different stakeholders. Together with that, industry related issues that influence its implementation are also considered. Finally, empirical evidences are analyzed through a multiple case study to understand if those benefits are recognized in practice and which are the limitations for the practical adoption of a TCO model that should allow exploiting such benefits

A specious unlinking strategy

We show that the following unlinking strategy does not always yield an optimal sequence of crossing changes: first split the link with the minimal number of crossing changes, and then unknot the resulting components

Cross-species epigenetics identifies a critical role for VAV1 in SHH subgroup medulloblastoma maintenance

The identification of key tumorigenic events in Sonic Hedgehog (SHH) subgroup medulloblastomas (MBSHH) will be essential for the development of individualized therapies and improved outcomes. However, beyond confirmation of characteristic SHH pathway mutations, recent genome-wide sequencing studies have not revealed commonly mutated genes with widespread relevance as potential therapeutic targets. We therefore examined any role for epigenetic DNA methylation events in MBSHH using a cross-species approach to candidate identification, prioritization and validation. MBSHH-associated DNA methylation events were first identified in 216 subgrouped human medulloblastomas (50 MBSHH, 28 Wnt/Wingless, 44 Group 3 and 94 Group 4) and their conservation then assessed in tumors arising from four independent murine models of Shh medulloblastoma, alongside any role in tumorigenesis using functional assessments in mouse and human models. This strategy identified widespread regional CpG hypo-methylation of VAV1, leading to its elevated expression, as a conserved aberrant epigenetic event, which characterizes the majority of MBSHH tumors in both species, and is associated with a poor outcome in MBSHH patients. Moreover, direct modulation of VAV1 in mouse and human models revealed a critical role in tumor maintenance, and its abrogation markedly reduced medulloblastoma growth. Further, Vav1 activity regulated granule neuron precursor germinal zone exit and migration initiation in an ex vivo model of early postnatal cerebellar development. These findings establish VAV1 as a critical epigenetically regulated oncogene with a key role in MBSHH maintenance, and highlight its potential as a validated therapeutic target and prognostic biomarker for the improved therapy of medulloblastoma

Regulatory Approaches to Managing Skilled Migration: Indonesian Nurses in Japan

This article examines the Japan–Indonesia Economic Partnership Agreement, an agreement that has allowed Japan to supplement its local healthcare workforce while continuing to sidestep the thorny issue of labour and immigration policy reform and Indonesia to increase its skilled workers’ access to the Japanese labour market at a time when it was making a concerted effort to reorient migrant labour flows away from informal sector occupations. Despite the programme’s many problems, it has contributed to the use of trade agreements as a mechanism for regulating labour migration, and so to the normalisation of migrant labour as a tradable commodity rather than a discrete area of policy-making, with all the attendant risks that normalisation brings