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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 101 (1995), S. 1-44 
    ISSN: 1432-2064
    Keywords: 60F10 ; 60G57 ; 60K35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We consider a dynamical interacting particle system whose empirical distribution tends to the solution of a spatially homogeneous Boltzmann type equation, as the number of particles tends to infinity. These laws of large numbers were proved for the Maxwellian molecules by H. Tanaka [Tal] and for the hard spheres by A.S. Sznitman [Szl]. In the present paper we investigate the corresponding large deviations: the large deviation upper bound is obtained and, using convex analysis, a non-variational formulation of the rate function is given. Our results hold for Maxwellian molecules with a cutoff potential and for hard spheres.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-198X
    Keywords: Bacteremia ; Hemodialysis ; Enterococcus fecalis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Bacteremia is often a serious and recurring problem in children with hemodialysis catheters. We report an outbreak ofEnterococcus bacteremia in a pediatirc hemodialysis unit occurring from June 1992 to June 1993. During this period, 18 episodes of bacteremia occurred in eight children: 11 infections were polymicrobial.Enterococcus fecalis was associated with 13 infections in five patients (8 polymicrobial). Other pathogens includedEnterobacter cloacae (5 infections),Staphylococcus (3),Staphylococcus epidermidis (2), andKlebsiella pneumoniae (2). AllEnterococcus infections occurred in patients with dual-lumen subclavian venous catheters. Skin and catheter sites were culture negative, except in one patient. Rectal swabs were positive forEnterococcus in five patients.Enterococcus was not isolated from any source within the unit. Serotypes of allEnterococcus isolates were different, except for 2 isolates in the same patient. Starting in June 1993, catheters were flushed after dialysis with vancomycin or ampicillin. Since initiating this procedure, further episodes ofEnterococcus bacteremia have not occurred. A questionnaire sent to other pediatric hemodialysis units failed to identifyEnterococcus among 26 cases of bacteremia. In conclusion: (1)Enterococcus is an unusual pathogen for hemodialysis-related bacteremia in children; (2) patients with dialysis catheters were predisposed to this infection; (3) a common source forEnterococcus could not be identified by either culture or by serotyping; (4) flushing catheters with antibiotics after dialysis was effective prevention.
    Type of Medium: Electronic Resource
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