V. Devauges, C. Marquer , S. Lécart, M.C. Potier , E. Fort 5 and S. Lévêque-Fort Institut des Sciences Moléculaires d’Orsay, CNRS-UMR 8214, 2 Laboratoire Charles Fabry Institut d'Optique CNRS UMR 8501, Centre de Photonique Biomédicale, CLUPS/LUMAT FR2764, 91405 Orsay, France 4 CRICM UPMC/Inserm UMR-S 975, CNRS UMR 7225, 75013 Paris, Institut Langevin, ESPCI ParisTech, UMR 7587, 75005 Paris, Fra...

Testing if a given graph G contains the k-vertex path Pk as a minor or as an induced minor is trivial for every fixed integer k ≥ 1. However, the situation changes for the problem of checking if a graph can be modified into Pk by using only edge contractions. In this case the problem is known to be NP-complete even if k = 4. This led to an intensive investigation for testing contractibility on ...

If X is an n-element set, we call a family G ⊂ PX a k-generator for X if every x ⊂ X can be expressed as a union of at most k disjoint sets in G. Frein, Lévêque and Sebő [10] conjectured that for n > 2k, the smallest k-generators for X are obtained by taking a partition of X into classes of sizes as equal as possible, and taking the union of the power-sets of the classes. We prove this conjectu...

Many biological phenomena are characterized by extensive fluid mechanical and chemical reactionary systems. As such, it is necessary to understand the manner in which these processes develop and the role that they play in a given system. Vascular blood flow is characterized by convective, diffusive, and reactive processes. Specifically, blood clot formation involves platelet convection within t...

A new therapeutic avenue for severe systemic sclerosis: imatinib mesylate A. Taïeb a,∗, J. Constans b, F.-X. Mahon c a Service de dermatologie et dermatologie pédiatrique, centre de référence pour les maladies rares de la peau, Inserm U876, CHU de Bordeaux, université Victor-Segalen–Bordeaux-II, Bordeaux, France b Service de médecine vasculaire, CHU de Bordeaux, hôpital Saint-André, 1, rue Jean...

In this article using the inverse Laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. These transfers have been expressed as the Couette flow with the fractional derivative of the Caputo sense. Also, using the Hankel contour for the Bromwich's integral, the solutions are given in terms of the generalized Airy functions.