We give results for the Γ-limit of a scaled elastic energy of a film as the thickness h > 0 converges to zero. The elastic energy density models materials with multiple phases or variants and is thus non-convex. The model includes an interfacial energy that allows sharp interfaces between the phases and variants and is proportional to the total variation of the deformation gradient.

The Advanced Expert System (AES) was used in conjunction with the VITEK 2 automated antimicrobial susceptibility test system to ascertain the beta-lactam phenotypes of 196 isolates of the family Enterobacteriaceae and the species Pseudomonas aeruginosa. These isolates represented a panel of strains that had been collected from laboratories worldwide and whose beta-lactam phenotypes had been cha...

The Advanced Expert System (AES) was used in conjunction with the VITEK 2 automated antimicrobial susceptibility test system to ascertain the b-lactam phenotypes of 196 isolates of the family Enterobacteriaceae and the species Pseudomonas aeruginosa. These isolates represented a panel of strains that had been collected from laboratories worldwide and whose b-lactam phenotypes had been character...

Optimization of the lactam ω-aminoalkyl substituents in a series of 7-azaindenoisoquinolines resulted in new anticancer agents with improved Top1 inhibitory potencies and cancer cell cytotoxicities. The new compounds 14-17 and 19 exhibited mean graph midpoint cytotoxicity (GI50) values of 21-71 nM in the NCI panel of 60 human cancer cell cultures. Ternary 7-azaindenoisoquinoline-DNA-Top1 cleava...

In this paper we make a survey of some recent developments of the theory of Sobolev spaces W (X, d,m), 1 < q < ∞, in metric measure spaces (X, d,m). In the final part of the paper we provide a new proof of the reflexivity of the Sobolev space based on Γ-convergence; this result extends Cheeger’s work because no Poincaré inequality is needed and the measure-theoretic doubling property is weakene...

By looking at the Γ-convergence of some easy functionals in terms of underlying Young measures, we emphasize the connection of this issue with the Monge-Kantorovich mass transfer problem. After exploring this relationship, we study a typical example in periodic homogenization to realize the difference between the Monge-Kantorovich problem and the usual cell-problem. We also state a version of t...

We investigate the limiting description for a finite-difference approximation of a singularly perturbed Allen–Cahn type energy functional. The key issue is to understand the interaction between two small length-scales: the interfacial thickness ε and the mesh size of spatial discretization δ. Depending on their relative sizes, we obtain results in the framework of Γ-convergence for the (i) subc...

OBJECTIVE Skin testing with penicilloyl-polylysine (PPL) and a minor determinant mixture (MDM) were previously recommended for evaluating β-lactam hypersensitivity. However, PPL and MDM have not been commercially available. This study was to determine the negative predictive value (NPV) of skin testing with β-lactam antibiotics for the diagnosis of β-lactam hypersensitivity. METHOD Patients a...