We describe the synthesis of a polycatenated cyclic polymer, a structure that resembles a molecular charm bracelet. Ruthenium-catalyzed ring-opening metathesis polymerization of an amino-containing cyclic olefin monomer in the presence of a chain transfer agent generated an alpha,omega-diazide functionalized polyamine. Cyclization of the resulting linear polyamine using pseudo-high-dilution cop...

A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamiltonian cycle) in G containing these k vertices in the specified order. In 1997 Ng and Schultz introduced these concepts of cycle orderability, and motivated by the fact that k-orderedness of a graph implies (k − 1)-connec...

The development of HIV-1 protease inhibitors (HPIs) in highly active antiretroviral therapy (HAART) has dramatically decreased AIDS mortality. However, HPIs exhibit suboptimal therapeutics in vivo due to their intrinsic low oral absorption and rapid efflux via ATP-binding cassette transporters. These attributes facilitate uninhibited viral propagation and rapid selection of drug resistant HIV-1...

Cyclotides are a diverse and abundant group of ribosomally synthesized plant peptides containing a unique cyclic cystine-knotted topology that confers them with remarkable stability. Kalata B1, a representative member of this family of mini-proteins, has been found to inhibit the proliferation of human peripheral blood mononuclear cells. Analysis of T-cell proliferation upon treatment with chem...

Abstract. In 2007, Andrews and Paule introduced the family of functions ∆k(n) which enumerate the number of broken k–diamond partitions for a fixed positive integer k. In that paper, Andrews and Paule proved that, for all n ≥ 0, ∆1(2n + 1) ≡ 0 (mod 3) using a standard generating function argument. Soon after, Shishuo Fu provided a combinatorial proof of this same congruence. Fu also utilized th...

We have determined the three-dimensional structure of a two-disulfide intermediate (Cys(8)-Cys(20), Cys(14)-Cys(26)) on the oxidative folding pathway of the cyclotide MCoTI-II. Cyclotides have a range of bioactivities and, because of their exceptional stability, have been proposed as potential molecular scaffolds for drug design applications. The three-dimensional structure of the stable two-di...

This study presents an analytical investigation and electrochemical conservation treatment for a group of four copper alloy artifacts excavated from the archaeological cemetery that was located on site Queen Alia International Airport, Jordan. The chemical analyses internal alloys showed bracelet spatula were made quaternary copper–zinc–tin–lead alloy, copper–silver–zinc copper–tin, bronze allo...