Population interaction structure and the coexistence of bacterial strains playing ‘rock–paper–scissors’

The simplest example of non‐transitive competition is the game rock–paper–scissors (RPS), which exhibits characteristic cyclic strategy replacement: paper beats rock, which in turn beats scissors, which in turn beats paper. In addition to its familiar use in understanding human decision‐making, rock–paper–scissors is also played in many biological systems. Among other reasons, this is important because it potentially provides a mechanism whereby species‐ or strain coexistence can occur in the face of intense competition. Kerr et al. (2002, Nature 418: 171–174) use complementary experiments and simulations to show that RPS‐playing toxic, resistant, and susceptible E. coli bacteria can coexist when interactions between the strains are spatially explicit. This raises the question of whether limited interactions associated with space are sufficient to allow strain coexistence, or whether space per se is crucial. I approach this question by extending the Kerr et al. model to include different (aspatial) population network structures with the same degree distributions as corresponding spatial lattice models. I show that the coexistence that occurs for some parameter combinations when simulated bacterial strains compete on lattices is absent when they compete on random regular graphs. Further, considering small‐world networks of intermediate ‘quenched randomness’ between lattices and random regular graphs, I show that only small deviations from pure spatial interactions are sufficient to prevent strain coexistence. These results emphasize the explicit role of space, rather than merely limited interactions, as being decisive in allowing the coexistence of toxic, resistant, and susceptible strains in this model system.     

Potent pyrimidinetrione-based inhibitors of MMP-13 with enhanced selectivity over MMP-14

Through the use of computational modeling, a series of pyrimidinetrione-based inhibitors of MMP-13 was designed based on a lead inhibitor identified through file screening. Incorporation of a biaryl ether moiety at the C-5 position of the pyrimidinetrione ring resulted in a dramatic enhancement of MMP-13 potency. Protein crystallography revealed that this moiety binds in the S(1)(') pocket of the enzyme. Optimization of the C-4 substituent of the terminal aromatic ring led to incorporation of selectivity versus MMP-14 (MT-1 MMP). Structure activity relationships of the biaryl ether substituent are presented as is pharmacokinetic data for a compound that meets our in vitro potency and selectivity goals.     

Synthesis and biological activity of selective pipecolic acid-based TNF-alpha converting enzyme (TACE) inhibitors

A series of novel, selective TNF-alpha converting enzyme inhibitors based on 4-hydroxy and 5-hydroxy pipecolate hydroxamic acid scaffolds is described. The potency and selectivity of TACE inhibition is dramatically influenced by the nature of the sulfonamide group which interacts with the S1' site of the enzyme. Substituted 4-benzyloxybenzenesulfonamides exhibit excellent TACE potency with >100x selectivity over inhibition of matrix metalloprotease-1 (MMP-1). Alkyl substituents on the ortho position of the benzyl ether moiety give the most potent inhibition of TNF-alpha release in LPS-treated human whole blood.     

Linkage analysis of a completely ascertained sample of familial schizophrenics and bipolars from Palau, Micronesia

We report on linkage analysis of a completely ascertained population of familial psychosis derived from the oceanic nation of Palau. Palau, an archipelago of islands in the Southern Pacific, currently has a population of approximately 23,000 individuals. The peoples of Palau populated these islands recently in human history, approximately 2,000 years ago. As both historical and genetic evidence suggest, the population is far more homogeneous than most other populations undergoing genetic studies, and should therefore prove quite useful for mapping genetic variants having a meaningful impact on susceptibility to psychotic disorders. Moreover, for our study, essentially all on-island schizophrenics (150) and individuals with other psychotic disorders (25) participated. By analysis of narrow (only schizophrenia) and broad (all psychosis) diagnostic schemes, two-point linkage analyses suggest that two regions of the genome harbor genetic variants affecting liability in most families, 3q28 (LOD=3.03) and 17q32.2 (LOD=2.80). Results from individual pedigrees also support 2q37.2, 2p14, and 17p13 as potentially harboring important genetic variants. Most of these regions have been implicated in other genetic studies of psychosis in populations physically quite distant from this Oceanic population, although some (e.g., 3q28) appear to be novel results for schizophrenia linkage analyses.