Linear relations between writhe and minimal crossing number in Conway families of ideal knots and links

We showed earlier how to predict the writhe of any rational knot or link in its ideal geometric configuration, or equivalently the average of the 3D writhe over statistical ensembles of random configurations of a given knot or link (Cerf and Stasiak 2000 Proc. Natl Acad. Sci. USA 97 3795). There is no general relation between the minimal crossing number of a knot and the writhe of its ideal geometric configuration. However, within individual families of knots linear relations between minimal crossing number and writhe were observed (Katritch et al 1996 Nature 384 142). Here we present a method that allows us to express the writhe as a linear function of the minimal crossing number within Conway families of knots and links in their ideal configuration. The slope of the lines and the shift between any two lines with the same

Role of rifampin against Propionibacterium acnes biofilm in vitro and in an experimental foreign-body infection model.

Propionibacterium acnes is an important cause of orthopedic-implant-associated infections, for which the optimal treatment has not yet been determined. We investigated the activity of rifampin, alone and in combination, against planktonic and biofilm P. acnes in vitro and in a foreign-body infection model. The MIC and the minimal bactericidal concentration (MBC) were 0.007 and 4 μg/ml for rifampin, 1 and 4 μg/ml for daptomycin, 1 and 8 μg/ml for vancomycin, 1 and 2 μg/ml for levofloxacin, 0.03 and 16 μg/ml for penicillin G, 0.125 and 512 μg/ml for clindamycin, and 0.25 and 32 μg/ml for ceftriaxone. The P. acnes minimal biofilm eradication concentration (MBEC) was 16 μg/ml for rifampin; 32 μg/ml for penicillin G; 64 μg/ml for daptomycin and ceftriaxone; and ≥128 μg/ml for levofloxacin, vancomycin, and clindamycin. In the animal model, implants were infected by injection of 10⁹ CFU P. acnes in cages. Antimicrobial activity on P. acnes was investigated in the cage fluid (planktonic form) and on explanted cages (biofilm form). The cure rates were 4% for daptomycin, 17% for vancomycin, 0% for levofloxacin, and 36% for rifampin. Rifampin cured 63% of the infected cages in combination with daptomycin, 46% with vancomycin, and 25% with levofloxacin. While all tested antimicrobials showed good activity against planktonic P. acnes, for eradication of biofilms, rifampin was needed. In combination with rifampin, daptomycin showed higher cure rates than with vancomycin in this foreign-body infection model.

Early clarification processes in clients presenting with borderline personality disorder: Relations with symptom level and change

Clarification-Oriented Psychotherapy (COP), an integrative treatment form with a basis in process-experiential psychotherapy, is particularly relevant for clients with Personality Disorders (PDs). We argue here that two related core therapeutic COP principles, "dual action regulation" and "interactional games" have consequences for symptom severity and therapeutic outcome for clients with PDs. A high quality COP clarification process requires that client's interactional games may be quickly assessed and treated in all (preferably early) therapy sessions. These processes can be observed and measured using the observer-rated Bochum Process and Relationship Rating Scales (BPRRS) which measure both clients' and therapists' contributions to the quality of the clarification processes engaged in therapy. This measure has been successfully applied to COP-therapies, but not, as yet, to therapies other than experiential, nor to specific client populations such as borderline personality disorder. The present study is a first attempt to evaluate the application of COP processes to other therapies and populations. We measured action regulation and interactional games using the BPRRS during intake sessions of a 10-session psychodynamic treatment of borderline personality disorder for a total of N = 30 clients and N = 8 therapists. Significant relationships were found between the client's degree of interactional games and both pretherapy symptom level and symptom change across therapy. These results are discussed in the context of Clarification-Oriented Psychotherapy, and more generally Person-Centered and Process-Experiential Psychotherapies. The potential relevance of the findings for psychodynamic psychotherapists are explored as well as the potential usefulness of taking into account a detailed analysis of interactional games for the training of psychotherapists working with any model of therapy working with clients presenting with BPD.

Étude des relations entre le score de Gillette et la vitesse de marche chez les enfants paralysés cérébraux

Contexte Aider les enfants atteints de paralysie cérébrale à découvrir, puis à perfectionner leurs possibilités de déplacement et de déambulation, est un des buts essentiels de l'action thérapeutique. Cela implique une connaissance approfondie de leurs capacités de marche. Le but de cette étude était d'essayer de trouver un ou des paramètres spatiotemporels du pattern de marche corrélé au score de Gillette afin de disposer d'un outil objectif d'évaluation des capacités de marche de l'enfant paralysé cérébral. Méthode Cinq sujets âgés de 6 à 14 ans (± 4,4), répondant aux classes 1 à 3 du score de Palisano ont été inclus dans l'étude. Une évaluation des qualités de marche par l'échelle de Gillette a été réalisée à la suite d'une évaluation des paramètres spatiotemporels de marche sur un tapis de type GAITRite®. Résultats Ainsi cinq paramètres spatiotemporels corrélés au score de Gillette ont été mis en évidence. Tous ces paramètres sont liés à la vitesse de déplacement. Discussion Les résultats montrent une corrélation des paramètres liés à la vitesse de foulée et du pas des patients. Les paramètres concernant la foulée et le pas des enfants paralysés cérébraux sont à prendre en compte dans le processus de prise en charge rééducative. Conclusion Une étude future devra comprendre un plus grand nombre de sujets et centrer son investigation sur les paramètres corrélés.

An extraordinary case of an intracranial foreign body after a gunshot to the head.

Intermediate targets (IT) can modify the morphology of an entrance wound, the trajectory of the bullet, and contaminate the path with fragments or material from the target. The penetration into the body of big fragments or even of an entire IT is exceptional and only rarely reported in the literature. The interpretation of a gunshot wound after contact of the bullet with IT can sometimes be very tricky as the classical morphology can be missing. The presented case is a rare example of atypical entrance wound and path due to a surprising intermediate target of a gunshot fired against the head.