Abstract:
Purpose: Endovascular treatment (EVT) of intracranial aneurysms (IA) requires a continuous anticoagulation to avoid thromboembolic complications. In order to monitor the anticoagulation, different tests may be used including the activated clotting time (ACT) and the activated partial thromboplastin time (APTT). The aim of this study was to compare ACT and APTT for the monitoring of the anticoagulation during EVT of IA. Methods: Patients referred for EVT of an IA were included. After induction, baseline ACT and APTT were recorded, followed by a bolus infusion of unfractionated heparin (50 UI^{.}kg–1). The same tests were controlled five minutes later with the purpose of doubling the baseline ACT value. Correlation and agreement between both tests were evaluated for the percentage of change after the bolus. Multiple linear regressions were also calculated in order to show confounding factors. Complications and outcomes were also recorded. Results: 45 patients were checked for enrolment and 24 were included for analysis. Mean (SD) % variation for APTT was 432.1 (75.7) and 60.6 (23.0) for ACT with p < 0.0001. With the Bland-Altman method, value of Bias (SD) is 372 (86) with 95% limits of agreement range from 203 to 540. Pearson correlation for % variation shows r (95% CI) = –0.23 (–0.58 to 0.19) with p = 0.29 and R square = 0.05. 100% of the APTT values could be defined as excessive anticoagulation by opposition of the 8% obtained with ACT. Conclusions: This prospective observational study shows that ACT test is not well correlated with APTT and leads to a systematic excessive coagulation during EVT of IA.

Abstract:
We describe a family of representations of $\pi_1(\Sigma)$ in PU(2,1), where $\Sigma$ is a hyperbolic Riemann surface with at least one deleted point. This family is obtained by a bending process associated to an ideal triangulation of $\Sigma$. We give an explicit description of this family by describing a coordinates system in the spirit of shear coordinates on the Teichm\"uller space. We identify within this family new examples of discrete, faithful and type-preserving representations of $\pi_1(\Sigma)$. In turn, we obtain a 1-parameter family of embeddings of the Teichm\"uller space of $\Sigma$ in the PU(2,1)-representation variety of $\pi_1(\Sigma)$. These results generalise to arbitrary $\Sigma$ the results obtained in a previous paper for the 1-punctured torus.

Abstract:
Why use Magic for teaching arithmetic and geometric suit, additive groups, and algorithmic notions through Matlab? Magicians know that, once the surprise has worn off, the audience will seek to understand how the trick works. The aim of every teacher is to interest their students, and a magic trick will lead them to ask how? And why? And how can I create one myself? In this article we consider a project I presented in 2009. I summarize the project scope, the students' theoretical studies, their approach to this problem and their computer realizations. I conclude using the mathematical complement as well as weak and strong points of this approach. Whatever the student's professional ambitions, they will be able to see the impact that originality and creativity have when combined with an interest in one's work. The students know how to “perform” a magic trick for their family and friends, a trick that they will be able to explain and so enjoy a certain amount of success. Sharing a mathematical / informatics demonstration is not easy and that they do so means that they will have worked on understood and are capable of explaining this knowledge. Isn't this the aim of all teaching?

Abstract:
The propagation of TE, TM harmonic plane waves impinging on a periodic multilayer film made of a stack of slabs with the same thickness but with alternate constant permittivity is analyzed. To tackle this problem, the same analysis is first performed on only one slab for harmonic plane waves, solutions of the wave equa- tion. The results obtained in this case are generalized to the stack, taking into account the boundary condi- tions generated at both ends of each slab by the jumps of permittivity. Differential electromagnetic forms are used to get the solutions of Maxwell’s equations.

Abstract:
Electromagnetic wave propagation is first analyzed in a composite material mde of chiral nano-inclusions embedded in a dielectric, with the help of Maxwell-Garnett formula for permittivity and permeability and its reciprocal for chirality. Then, this composite material appears as an homo-geneous isotropic chiral medium which may be described by the Post constitutive relations. We analyze the propagation of an harmonic plane wave in such a medium and we show that two different modes can propagate. We also discuss harmonic plane wave scattering on a semi-infinite chiral composite medium. Then, still in the frame of Maxwell-Garnett theory, the propagation of TE and TM fields is investigated in a periodic material made of nano dots immersed in a dielectric. The periodic fields are solutions of a Mathieu equation and such a material behaves as a diffraction grating.

Abstract:
Why use Magic for teaching Optics? Magicians know that, once the surprise has worn off, the audience will seek to understand how the trick works. The aim of every teacher is to interest their students, and a magic trick will bring them to ask how? And why? And how can I create one myself? In this article we consider a project I gave in 2006. I summarize the project scopes, the student theoretical studies, their “new” Grand Illusion realization. I conclude by the weak and strong points of this approach… but let's not reveal all the secrets just yet! Whatever the student's professional ambitions, they will be able to see the impact that originality and creativity have when combined with an interest in one's work. The students know how to “perform” a magic trick for their family and friends, a trick that they will be able to explain and so enjoy a certain amount of success. Sharing a mathematical/physical demonstration is not easy and that they do so means that they will have worked on, understood and are capable of explaining this knowledge. Isn't this the aim of all teaching?

Abstract:
The propagation along oz of pulsed sound waves made of sequences of elementary unit pulses U (sin τ) where U is the unit step function and τ = kz －ωt is analyzed using the expansion of U (sin τ) and of the Dirac distribution δ (sin τ) in terms of τ－nπ where n is an integer. Their properties and how these pulsed sound waves could be generated are discussed.

Abstract:
We first analyze the sech-shaped soliton solutions, either spatial or temporal of the 1D-Schr?dinger equation with a cubic nonlinearity. Afterwards, these solutions are generalized to the 2D-Schr?dinger equation in the same configuration and new soliton solutions are obtained. It is shown that working with dimensionless equations makes easy this generalization. The impact of solitons on modern technology is then stressed.

In this paper, we use the representation of the solutions of the focusing nonlinear Schrodinger equation we have constructed recently, in terms of wronskians; when we perform a special passage to the limit, we get quasi-rational solutions expressed as a ratio of two determinants. We have already construct breathers of ordersN = 4, 5, 6 in preceding works; we give here the breather of order seven.