Communication-efficient algorithms for solving pressure Poisson equation for multiphase flows using parallel computers.

Numerical solution of partial differential equations on parallel computers using domain decomposition usually requires synchronization and communication among the processors. These operations often have a significant overhead in terms of time and energy. In this paper, we propose communication-efficient parallel algorithms for solving partial differential equations that alleviate this overhead. First, we describe an asynchronous algorithm that removes the requirement of synchronization and checks for termination in a distributed fashion while maintaining the provision to restart iterations if necessary. Then, we build on the asynchronous algorithm to propose an event-triggered communication algorithm that communicates the boundary values to neighboring processors only at certain iterations, thereby reducing the number of messages while maintaining similar accuracy of solution. We demonstrate our algorithms on a successive over-relaxation solver for the pressure Poisson equation arising from variable density incompressible multiphase flows in 3-D and show that our algorithms improve time and energy efficiency.

Biological catalysis regulated by cucurbit[7]uril molecular containers.

We report the synthesis of two-faced inhibitors 1-5 that contain both enzyme inhibitor and cucurbit[n]uril binding domains. The enzyme binding domains of 1-5 bind to the active sites of bovine carbonic anhydrase (BCA) or acetylcholinesterase (AChE) and inhibit their catalytic activities. Addition of CB[7] to BCA*1 and BCA*2 results in the transient formation of the BCA*1*CB[7] and BCA*2*CB[7] ternary complexes that undergo rapid dissociation to form free catalytically active BCA along with CB[7]*1 and CB[7]*2. The on-off cycle can be performed repetitively by the sequential addition of competitive guest 8 and CB[7]. The detailed origins of this on-off switching of the catalytic activity of BCA is delineated by the combined inference of UV/vis catalytic assays, fluorescence displacement assays, (1)H NMR, along with measurement of the fundamental values of K(a), k(on), and k(off) for the various complexes involved. In contrast, addition of CB[7] to AChE*4(4) and AChE*5(4) results in the formation of thermodynamically stable ternary complexes AChE*4(4)*CB[7](4) and AChE*5(4)*CB[7](4) that are catalytically inactive. We highlight some of the advantages and disadvantages of the strategy, based on the direct competition between two receptors (e.g., enzyme and CB[7]) for a common inhibitor, used in this paper to control enzyme catalytic activity compared to the strategy employed by Nature involving the binding of an allosteric small molecule remote from the enzyme active site.

Dynamic cyclic thiodepsipeptide libraries from thiol-thioester exchange.

Thiol-thioester exchange was found to readily generate libraries of cyclic thiodepsipeptides under thermodynamic control, which will enable their use in a variety of dynamic combinatorial chemistry assays. The kinetic determinants of macrocycle formation and the role of amino acid structure on the reaction dynamics are discussed.

Self-sorting molecular clips.

We report the synthesis and characterization of 12 C-shaped methylene-bridged glycoluril dimers (1-12) bearing H-bonding groups on their aromatic rings. Compounds 1, 2, (+/-)-4a, (+/-)-5, (+/-)-7, and 8 form tightly associated homodimers in CDCl3, due to the combined driving force of pi-pi and H-bonding interactions. Compounds 2, (+/-)-5, and 8, having disparate spatial distribution of their H-bonding groups, display the ability to efficiently distinguish between self and nonself even within three-component mixtures in CDCl3. When the spatial distributions of the H-bonding groups of the molecular clips are similar (e.g., 1 and 2), a mixture of homodimers and heterodimers is formed. The effect of various structural modifications (e.g., chirality, side chain steric bulk, number and pattern of H-bonds) on the strength of self-assembly and the fidelity of self-sorting are presented. On the basis of these results we prepared self-sorting systems comprising three (e.g., 1, (+/-)-5, and (+/-)-7) and even four ( 2, (+/-)-5, 9, and 10) components. The potential of molecular clips 1-12 as robust, functionalizable, self-sorting modules to control the noncovalent interaction network in systems chemistry studies is described.