Éditeur(s) : HAL CCSD Taylor & Francis
Résumé : International audience
We provide an inequality relating the radial directional derivative and the subdifferential of proper lower semicontinuous functions, which extends the known formula for convex functions. We show that this property is equivalent to other subdifferential properties of Banach spaces, such as controlled dense subdifferentiability, optimality criterion, mean value inequality and separation principles. As an application, we obtain a first-order sufficient condition for optimality, which extends the known condition for differentiable functions in finite-dimensional spaces and which amounts to the maximal monotonicity of the subdifferential for convex lower semicontinuous functions. Finally, we establish a formula describing the subdifferential of the sum of a convex lower semicontinuous function with a convex inf-compact function in terms of the sum of their approximate epsilon-subdifferentials. Such a formula directly leads to the known formula relating the directional derivative of a convex lower semicontinuous function to its approximate epsilon-subdifferential.
ISSN: 0233-1934

hal-00694601
https://hal.archives-ouvertes.fr/hal-00694601
DOI : 10.1080/02331934.2011.645034

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
A new method was proposed to determine the nitrogen content of nitrocelluloses (NCs). It is based on the finding of a linear relationship between the nitrogen content and the molar ratio of nitrite-to-nitrate ions released after alkaline hydrolysis. Capillary electrophoresis was used to monitor the concentration of nitrite and nitrate ions. The influences of hydrolysis time and molar mass of NC on the molar ratio of nitrite-to-nitrate ions were investigated, and new insights into the understanding of the alkaline denitration mechanism of NCs, underlying this analytical strategy is provided. The method was then tested successfully with various explosive and non-explosive NC-containing samples such as various daily products and smokeless gunpowders. Inherently to its principle exploiting a concentration ratio, this method shows very good repeatability in the determination of nitrogen content in real samples with relative standard deviation (n=3) inferior to 1.5%, and also provides very significant advantages with respect to sample extraction, analysis time (1h for alkaline hydrolysis, 3min for electrophoretic separation), which was about 5 times shorter than for the classical Devarda's method, currently used in industry, and safety conditions (no need for preliminary drying NC samples, mild hydrolysis conditions with 1M sodium hydroxide for 1h at 60°C).
Journal of Hazardous Materials

hal-01103120
https://hal.archives-ouvertes.fr/hal-01103120
PUBMED : 25562808

Éditeur(s) : HAL CCSD
Résumé : International audience
Many different proteins self-aggregate into insoluble fibrils growing apically by reversible addition of elementary building blocks. But beyond this common principle, the modalities of fibril formation are very disparate, with various intermediate forms which can be reshuffled by minor modifications of physico-chemical conditions or amino-acid sequences. To bypass this complexity, the multifaceted phenomenon of fibril formation is reduced here to its most elementary principles defined for a linear prototype of fibril. Selected generic features, including nucleation, elongation, and conformational recruitment, are modeled using minimalist hypotheses and tools, by separating equilibrium from kinetic aspects and in vitro from in vivo conditions. These reductionist approaches allow to bring out known and new rudiments, including the kinetic and equilibrium effects of nucleation, the dual influence of elongation on nucleation, the kinetic limitations on nucleation and fibril numbers, and the accumulation of complexes in vivo by rescue from degradation. Overlooked aspects of these processes are also pointed: the exponential distribution of fibril lengths can be recovered using various models because it is attributable to randomness only. It is also suggested that the same term "critical concentration" is used for different things, involved in either nucleation or elongation
Journal of Chemical Physics

hal-01263103
https://hal-univ-rennes1.archives-ouvertes.fr/hal-01263103
DOI : 10.1063/1.4940149
PUBMED : 26801045

Éditeur(s) : HAL CCSD
Résumé : International audience
In this paper we present a microfluidic architecture dedicated to the study of Red Blood Cells (RBCs) deformability in microchannel smaller than the cell shape (biconcave disc of 7-8 μm in diameter) and cell capability to pass through slits separated by a gap value down to 2 μm, acting as a filter. This device is use in the context of RBCs disorders affecting their deformability, which is analysed versus number of cells trapped in the filter. This device can be seen as mimicking the human spleen. Microfabrication of the chip is based on polydimethylsiloxane (PDMS) associated to a two level thick photoresist mould (SU8). One level is used for microfluidic access with a 25 μm thickness towards the studied zone. The second level concerns the mimicking zones where RBCs flow through 5 μm down to 2 μm-wide slits acting like a mechanical filter. This level has a thickness of 5 μm. Devices have been tested on RBCs having specific disorder on their mechanical elasticity in order to validate the design principle. Two cases are presented in this paper: a.) Sickle RBCs inducing cell rigidity at two levels b.) Parasitized RBCs by Plasmodium falciparum. On both cases, we clearly show that deformability of RBCs influences the capability to pass through small slits (down to 2um) and thus is in relation with the pathology stage. This spleen-like microfluidic chip mimicking the RBCs filtering function is a promising tool for the exploration of RBC disorders combined with mechanical alterations.
4th European Conference on Microfluidics
Limerick, Ireland

hal-01113061
https://hal.archives-ouvertes.fr/hal-01113061