12, 24 and Beyond

We generalize the well-known "12" and "24" Theorems for reflexive polytopes of dimension 2 and 3 to any smooth reflexive polytope. Our methods apply to a wider category of objects, here called reflexive GKM graphs, that are associated with certain monotone symplectic manifolds which do not necessarily admit a toric action. As an application, we provide bounds on the Betti numbers for certain monotone Hamiltonian spaces which depend on the minimal Chern number of the manifold.Comment: 39 pages, 4 figure

Altered immune parameters in chronic alcoholic patients at the onset of infection and of septic shock

INTRODUCTION: Chronic alcoholic patients have a threefold to fourfold increased risk for developing a severe infection or septic shock after surgery, which might be due to altered immune response. The aim of this outcome matched study was to investigate proinflammatory and anti-inflammatory immune parameters during the course of infection and subsequent septic shock in chronic alcoholic patients, and to compare these parameters with those in nonalcoholic patients. METHODS: Twenty-eight patients from a cohort of fifty-six with either pneumonia or peritonitis and subsequent septic shock were selected. Fourteen patients were chronic alcoholics whereas fourteen were nonalcoholic patients. Chronic alcoholic patients met criteria (Diagnostic and Statistical Manual of Mental Disorders IV, of the American Psychiatric Association) for alcohol abuse or dependence. Measurements were performed during the onset of infection (within 24 hours after the onset of infection), in early septic shock (within 12 hours after onset of septic shock) and in late septic shock (72 hours after the onset). Blood measurements included proinflammatory and anti-inflammatory cytokines. RESULTS: Chronic alcoholic patients exhibited significantly lower plasma levels of IL-8 (P < 0.010) during the onset of infection than did matched nonalcoholic patients. In early septic shock, chronic alcoholic patients had significantly decreased levels of IL-1β (P < 0.015), IL-6 (P < 0.016) and IL-8 (P < 0.010). The anti-inflammatory parameters IL-10 and tumour necrosis factor receptors I and II did not differ between alcoholic and nonalcoholic patients. CONCLUSION: At the onset of infection and during early septic shock, chronic alcoholic patients had lower levels of proinflammatory immune parameters than did nonalcoholic patients. Therefore, immunomodulatory therapy administered early may be considered in chronic alcoholic patients at the onset of an infection because of their altered proinflammatory immune response

Pulse contour analysis after normothermic cardiopulmonary bypass in cardiac surgery patients

INTRODUCTION: Monitoring of the cardiac output by continuous arterial pulse contour (CO(PiCCOpulse)) analysis is a clinically validated procedure proved to be an alternative to the pulmonary artery catheter thermodilution cardiac output (CO(PACtherm)) in cardiac surgical patients. There is ongoing debate, however, of whether the CO(PiCCOpulse )is accurate after profound hemodynamic changes. The aim of this study was therefore to compare the CO(PiCCOpulse )after cardiopulmonary bypass (CPB) with a simultaneous measurement of the CO(PACtherm). METHODS: After ethical approval and written informed consent, data of 45 patients were analyzed during this prospective study. During coronary artery bypass graft surgery, the aortic transpulmonary thermodilution cardiac output (CO(PiCCOtherm)) and the CO(PACtherm )were determined in all patients. Prior to surgery, the CO(PiCCOpulse )was calibrated by triple transpulmonary thermodilution measurement of the CO(PiCCOtherm). After termination of CPB, the CO(PiCCOpulse )was documented. Both CO(PACtherm )and CO(PiCCOtherm )were also simultaneously determined and documented. RESULTS: Regression analysis between CO(PACtherm )and CO(PiCCOtherm )prior to CPB showed a correlation coefficient of 0.95 (P < 0.001), and after CPB showed a correlation coefficient of 0.82 (P < 0.001). Bland-Altman analysis showed a mean bias and limits of agreement of 0.0 l/minute and -1.4 to +1.4 l/minute prior to CPB and of 0.3 l/minute and -1.9 to +2.5 l/minute after CPB, respectively. Regression analysis of CO(PiCCOpulse )versus CO(PiCCOtherm )and of CO(PiCCOpulse )versus CO(PACtherm )after CPB showed a correlation coefficient of 0.67 (P < 0.001) and 0.63 (P < 0.001), respectively. Bland-Altman analysis showed a mean bias and limits of agreement of -1.1 l/minute and -1.9 to +4.1 l/minute versus -1.4 l/minute and -4.8 to +2.0 l/minute, respectively. CONCLUSION: We observed an excellent correlation of CO(PiCCOtherm )and CO(PACtherm )measurement prior to CPB. Pulse contour analysis did not yield reliable results with acceptable accuracy and limits of agreement under difficult conditions after weaning from CPB in cardiac surgical patients. The pulse contour analysis thus should be re-calibrated as soon as possible, to prevent false therapeutic consequences