Synthesis,and in vitro and in vivo evaluation of a diphenylchlorin sensitizer for photodynamic therapy

This paper reports the synthesis of a new diphenylchlorin photosensitizer, 2,3-dihydro-5,15-di(3,5-dihydroxyphenyl)porphyrin (SIM01). The photodynamic properties, cell uptake and localization of SIM01 were compared with those of structurally related meso-tetra(hydroxyphenyl)chlorin (m-THPC). In vitro studies were conducted on rat glioma cells (C6) and human adenocarcinoma (HT-29), and in vivo studies on human colon adenocarcinoma cells (HT-29) and human prostate adenocarcinoma cells (PC3). Both dyes showed an absorption maximum at around 650 nm, with a molar extinction coefficient of 13017 M(-1) cm(-1) for SIM01 and 22718 M(-1) cm(-1) for m-THPC. Their capacity to generate singlet oxygen was identical, but differences in partition coefficients indicated that SIM01 was slightly more hydrophilic. In vitro, SIM01 was slightly more phototoxic than m-THPC for C6 cells (4.8 vs. 6.8 microg ml(-1)). However, phototoxicities were nearly identical for HT29 cells (0.45 microg ml(-1) for 5 h incubation followed by 300 mW, 20 J cm(-2)). Pharmacokinetics in vivo in mice, as determined by fibre spectrofluorimetry, showed that the SIM01 fluorescence signal in the tumor was maximal between 6 and 12 h after injection, as compared to 72 h for m-THPC. With a 2 mg kg(-1) dye dose and laser irradiation at 300 J cm(-2) (650 nm, 300 mW), the optimal PDT response occurred when the interval between injection and irradiation was 6 h for SIM01 and 24 h for m-THPC. For SIM01 with 5 mg kg(-1) injection, the optimal PDT response occurred with a 12 h delay and with the same irradiation parameters as described above, in this case the tumor response showing 40% growth. Considering the tumor volume doubling time, the value was 6.5 days in the control group and increased to 13.5 days with SIM01. Thus, SIM01 may be a powerful sensitizer characterized by strong in vitro and in vivo phototoxicity and faster tissue uptake and elimination than m-THPC.     

Ram extrusion force for a frictional plastic material: model prediction and application to cement paste

We developed a model to predict the ram extrusion force of frictional plastic materials such as cement-based pastes. The extrusion of cement-based materials has already been studied, but the interaction between shaping force and paste behaviour still have to be understood. Our model is based on the plastic frictional behaviour of cement-based materials and integrates the physical mechanisms that govern material extrusion flow and extrusion force increase. When the process starts, a pressure gradient is created in the extruder due to wall friction of the paste that is submitted to plug flow. It induces a consolidation of the material. As a result, a large increase of extrusion force appears. A Coulomb law is used to model cement-based materials, which is considered as consolidating granular media. Such modelling is compared with experimental results. Tests were carried out on extrudible cement pastes. Modelling and experimental results are in good agreement.Paper presented at the Annual European Rheology Conference, Grenoble, April 2005     

A Cutting Plane Method for Solving Quasimonotone Variational Inequalities

We present an iterative algorithm for solving variational inequalities under the weakest monotonicity condition proposed so far. The method relies on a new cutting plane and on analytic centers.     

Two-dimensional modeling of an aircraft engine structural bladed disk-casing modal interaction

In modern turbo machines such as aircraft jet engines, structural contacts between the casing and bladed disk may occur through a variety of mechanisms: coincidence of vibration modes, thermal deformation of the casing, rotor imbalance due to design uncertainties to name a few. These nonlinear interactions may result in severe damage to both structures and it is important to understand the physical circumstances under which they occur. In this study, we focus on a modal coincidence during which the vibrations of each structure take the form of a k-nodal diameter traveling wave characteristic of axi-symmetric geometries. A realistic two-dimensional model of the casing and bladed disk is introduced in order to predict the occurrence of this very specific interaction phenomenon versus the rotation speed of the engine. The equations of motion are solved using an explicit time integration scheme in conjunction with the Lagrange multiplier method where friction is accounted for. This model is validated from the comparison with an analytical solution. The numerical results show that the structures may experience different kinds of behaviors (namely damped, sustained and divergent motions) mainly depending on the rotational velocity of the bladed disk.     

New formulations and valid inequalities for a bilevel pricing problem

Consider the problem of maximizing the toll revenue collected on a multi-commodity transportation network. This fits a bilevel framework where a leader sets tolls, while users respond by selecting cheapest paths to their destination. We propose novel formulations of the problem, together with valid inequalities yielding improved algorithms.     

Bilevel programming: A survey

This paper provides an introductory survey of a class of optimization problems known as bilevel programming. We motivate this class through a simple application, and then proceed with the general formulation of bilevel programs. We consider various cases (linear, linear-quadratic, nonlinear), describe their main properties and give an overview of solution approaches.Received: April 2005, Revised: May 2005, AMS classification: 90C05, 90C11, 90C20, 90C27, 90C3D, 65K05     

Hauteur des sous-schémas toriques et dualité de Legendre–Fenchel

We announce a formula for the height of a complete toric variety defined over a number field. The exact expression rests on tools from convex analysis and in particular, on the Legendre–Fenchel dual of the logarithm of the local norms of a natural section of the relevant metrized line bundle. We apply this formula to the computation of the height of projective toric curves and of toric bundles. To cite this article: J.I. Burgos Gil et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).     

Effects of nanocracks on the magnetic and electrical properties of single crystals

An investigation of the physical properties of La_0.8Sr_0.2MnO₃ single crystals grown by the molten zone technique is realized close to the metal-to-insulator transition temperature (T_MI). In this paper, we review the effect of the structural defects through magnetotransport and local magnetic microstructures. From electron microscopy observations, some ‘nanocrack’ defects (i.e. defects at a nanometer scale) were found, essentially in the center part of the single crystals. At room temperature, magnetic force microscopy measurements have shown that the absence of defects allowed a magnetic ordering of the domains at the crystal edge, which is the best-crystallized region. In addition, the magnetization loops have permitted us to verify that the crystal was ferromagnetically weaker in the center. On analyzing the electrical resistivity data, we observed in the linear current regime a sensitive variation of the resistivity due to defects, by comparing the center and the edge of the material at T_MI. Additionally, at strong current, non-linearity phenomena have been supposed to be related to local heating. Finally, we discuss the structural disorder effect on the relaxation of the ferromagnetic domains.     

PMMA/Zinc Oxide Nanocomposites Prepared by In‐Situ Bulk Polymerization

Summary: Dispersing surface‐modified zinc oxide nanoparticles (ZnO) in methyl methacrylate (MMA) improves the free radical bulk polymerization process as well as the thermal stability of the formed polymer. Hydroxy groups available on the ZnO surface may induce a degenerative transfer. This suppresses the gel effect, which leads to a better control of the heat evolution during the late stages of polymerization. The formation of chains having vinylidene end groups and head‐to‐head links is suppressed, which shifts the onset of thermal decomposition to the regime where decomposition occurs by random chain scission.

Thermal degradation profiles of PMMA and its composite with ZnO at 11 wt.‐%.     

Conditions ensuring the applicability of cutting-plane methods for solving variational inequalities

Let VIP(F,C) denote the variational inequality problem associated with the mapping F and the closed convex set C. In this paper we introduce weak conditions on the mapping F that allow the development of a convergent cutting-plane framework for solving VIP(F,C). In the process we introduce, in a natural way, new and useful notions of generalized monotonicity for which first order characterizations are presented. Received: September 25, 1997 / Accepted: March 2, 1999?Published online July 20, 2000