On a method of Pi-Calleja for describing additive generators of associative functions

Summary We review and extend a method introduced by Pi-Calleja in 1954 for describing additive generators of some associative functions on closed intervals.     

Mathematics and cross-curricular activities: Bridges exist for crossing them

The paper presents some thoughts on the relations of mathematics teaching and learning and the cross-curricular activities. Some Spantsh examples are reviewed and some insights for future actions are given.     

On convex triangle functions

We prove that the strongest (largest convex) solution of the functional inequality $$\tau \left( {\frac{{F + G}}{2},\frac{{H + K}}{2}} \right) \le \frac{{\tau (F,H) + \tau (G,K)}}{2},$$ whereF, G, H andK are arbitrary distribution functions, is the triangle function τ(F, G)(x) = Max(F(x) +G(x) ? 1, 0).     

Hepatitis A Synthetic Peptide VP3(110-121) Miscibility with Dipalmitoylphosphatidylcholine, Dipalmitoylphosphatidylglycerol, and Stearylamine Monolayers

To prepare liposomes containing a synthetic hepatitis A virus antigen (HAV) [VP3(110-121)] as a vaccine, the miscibility of this peptide (with negative net charge) with a neutral lipid [dipalmitoylphosphatidylcholine (DPPC)], a negatively charged lipid [dipalmitoylphosphatidylglycerol (DPPG)], and a positively charged lipid [Stearylamine (SA)] was studied through compression isotherms of monolayers. Mixtures with DPPC and SA showed a low degree of interaction with the peptide, the composition of the monolayer being stable through compression. For DPPG-containing monolayers larger positive deviations from ideality were found, and the peptide was squeezed out from the monolayer at a DPPG/VP3(110-121) mole fraction of 0.8/0.2. All this suggests that besides hydrophobic interactions between the peptide and the lipid, electrostatic forces also play a role; thus it seems that neutral and positively charged lipids would be more suitable for preparing stable liposomes with VP3(110-121). Copyright 2000 Academic Press.     

Lipolysis of didecanoyl-lecithin/triolein mixed monolayers by phospholipaseA 2

A study of enzyme lipolysis by pancreatic phospholipaseA ₂ and by vipera berus phospholipaseA ₂ on monomolecular mixed films of didecanoyl-lecithin and triolein on an aqueous subphase of pH 8 has been carried out. The influence of the composition of the mixed film, the surface pressure of the film and the amount and type of the injected enzyme on the lipolysis rate were studied.In order to relate the lipolytic activity with the monolayer state, the compression isotherms of the didecanoyl-lecithin/triolein mixed monolayers have also been obtained.The resuls are compared to observations on lipolytic activity of phospholipaseA ₂ on the didecanoyl-lecithin/cholesterol mixed monolayers. Triolein improves the kinetic conditions of the lipolysis of lecithin films in a higher degree than cholesterol. Probably it increases the enzyme penetration by the fluidifying effect exerted on the lecithin monolayers.     

Real-time dynamics of the acoustically driven electron–hole transport in GaAs quantum wires

We have investigated the dynamics of photogenerated carriers in GaAs quantum wires during their transport by surface acoustic waves using spatially and time-resolved photoluminescence. This technique allows us to map in real time the spatial carrier distribution during the transport as well as to study the nature of radiative defect sites in the transport path.     

On a functional equation based upon a result of Gaspard Monge

We present and solve completely a functional equation motivated by a classical result of Gaspard Monge.