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We investigate two complementary problems related to maintaining the relative positions of N random walks on the line: (i) the leader problem, that is, the probability LN (t) that the leftmost particle remains the leftmost as a function of time and (ii) the laggard problem, the probability RN (t) that the rightmost particle never becomes the leftmost. We map these ordering problems onto an equivalent (N − 1)-dimensional electrostatic problem. From this construction we obtain a very accurate estimate for LN (t) for N = 4, the first case that is not exactly soluble: L4(t) ∝ t −β 4 , with β4 = 0.91342(8). The probability of being the laggard also decays algebraically, RN (t) ∝ t −γ N ; we derive γ2 = 1/2, γ3 = 3/8, and argue that γN → N −1 ln N as N → ∞.

The Tigecycline Evaluation and Surveillance Trial (TEST Program) determined the in vitro activity of tigecycline over a large population of organisms from geographically diverse sites. Tigecycline was compared to amikacin, ampicillin, amoxicillin/clavulanic acid, imipenem, cefepime, ceftazidime, ceftriaxone, levofloxacin, minocycline, piperacillin/tazobactam, linezolid, penicillin, and vancomycin against 3989 commonly encountered clinical Gram-negative and Gram-positive pathogens collected from sites in the United States during 2004. The tigecycline activity was equivalent to imipenem against Enterobacteriaceae. Tigecycline inhibited extended-spectrum beta-lactamase and AmpC phenotypes at MIC90 values (minimum inhibitory concentration) of < or =2 microg/mL. In vitro results for tigecycline were similar to other broad-spectrum antimicrobial agents against nonfermenters with MIC90 results of 2 microg/mL against Acinetobacter spp. and >16 microg/mL against Pseudomonas aeruginosa. Tigecycline demonstrated potent activity against Staphylococcus aureus (MIC90, 0.25 microg/mL) and enterococci (MIC90, 0.12 microg/mL) regardless of methicillin or vancomycin susceptibility. Tigecycline MIC values were unaffected by penicillin nonsusceptibility and beta-lactamase production among fastidious respiratory pathogens (Streptococcus pneumoniae [MIC90, 0.5 microg/mL] and Haemophilus influenzae [MIC90, 0.25 microg/mL]). Tigecycline offers excellent activity against most of the commonly encountered nosocomial and community-acquired bacterial pathogens.

) and t008 (n ‫؍‬ 56, 7.9%). While the distribution of the predominant spa types did not differ by U.S. Census region or time period, spa t008 was nearly twice as common in community skin and soft tissue infections than in nosocomial bloodstream infections (11.1% versus 5.6%, respectively; P ‫؍‬ 0.008). Despite such differences, both community and nosocomial settings had diverse staphylococcal clonal types representing all major spa clusters. In contrast to those of MRSA, MSSA infectious isolates show wide genetic diversity without clear geographical or temporal clustering. Notably, the prevalent MSSA strains (spa t002 and spa t008) are analogous to the predominant MRSA clones, further demonstrating the importance of both lineages.