We consider the problem of the optimal location of a Dirichlet region in a d-dimensional domain Ω subjected to a given force f in order to minimize a given functional. We look for the optimal region among the class of all closed connected sets of assigned total length l. Then we let l tends to infinity and we look at the Γ-limit of a suitable rescaled functional, in order to get information of ...

Alzheimer's disease (AD) is the most common type of dementia. Amyloid-β protein (Aβ) is identified as the core protein of neuritic plaques. Aβ is generated by the sequential cleavage of the amyloid precursor protein (APP) via the APP cleaving enzyme (α-secretase, or β-secretase) and γ-secretase. Previous studies indicated that folate deficiency elevated Aβ deposition in APP/PS1 mice, and this r...

Three-ring polyamides containing pyrrole (Py) and imidazole (Im) amino acids covalently coupled by γ-aminobutyric acid (γ) form six-ring hairpins that recognize five-base-pair sequences in the minor groove of DNA. Selective chiral substitution of the “γ-turn” enhances the properties of polyamide hairpins with regard to DNA affinity and sequence specificity. Polyamides of core sequence compositi...

we have used tungestophosphoric acid to catalyze oxidative amidation reaction from benzyl alcohols and methylarens with hydrochloride salts of amines. to achieve this purpose, modified magnetic nanoparticles (γ-fe2o3@sio2@h3pw12o40) were applied as catalyst and tbhp as external oxidant. after optimizing, different derivates of benzamides were synthesized in good yields. also, the result of two ...

A novel (+)-γ-lactamase used for the resolution of racemic γ-lactam from Bradyrhizobium japonicum USDA 6 was found as a result of sequence-structure guided genome mining. It consists of 409 amino acids, only 49% of which are identical to the amino acid sequences of the known (+)-γ-lactamase from Sulfolobus solfataricus. This is only the third (+)-γ-lactamase gene to be reported.

We determine the asymptotic behaviour of (bilateral) obstacle problems for fractional energies in rather general aperiodic settings via Γ-convergence arguments. As further developments we consider obstacles with random sizes and shapes located on points of standard lattices, and the case of random homothetics obstacles centered on random Delone sets of points. Obstacle problems for non-local en...