The Honorable William H. Victor, The Life and Times of a Distinguished Jurist

William H. Victor after a long and distinguished career as a judge and civic leader has decided to take retired status. He will be able to be recalled to serve where needed on assignment from the Chief Justice of the Supreme Court of Ohio

Analysis of periodic Schrodinger operators: regularity and approximation of eigenfunctions.

Let V be a real valued potential that is smooth everywhere on R 3 , except at a periodic, discrete set S of points, where it has singularities of the Coulomb-type Z/r . We assume that the potential V is periodic with period lattice L . We study the spectrum of the Schrödinger operator H=−Δ+V acting on the space of Bloch waves with arbitrary, but fixed, wavevector k . Let T≔R 3 /L . Let u be an eigenfunction of H with eigenvalueλ and let ϵ>0 be arbitrarily small. We show that the classical regularity of the eigenfunction u is u∊H 5/2−ϵ (T) in the usual Sobolev spaces, and u∊K m 3/2−ϵ (T\S) in the weighted Sobolev spaces. The regularity index m can be as large as desired, which is crucial for numerical methods. For any choice of the Bloch wavevector k , we also show that H has compact resolvent and hence a complete eigenfunction expansion. The case of the hydrogen atom suggests that our regularity results are optimal. We present two applications to the numerical approximation of eigenvalues: using wave functions and using piecewise polynomials

Age of red cells for transfusion and outcomes in patients with ARDS

Packed red blood cells (PRBCs), stored for prolonged intervals, might contribute to adverse clinical outcomes in critically ill patients. In this study, short-term outcome after transfusion of PRBCs of two storage duration periods was analyzed in patients with Acute Respiratory Distress Syndrome (ARDS). Patients who received transfusions of PRBCs were identified from a cohort of 1044 ARDS patients. Patients were grouped according to the mean storage age of all transfused units. Patients transfused with PRBCs of a mean storage age ≤ 28 days were compared to patients transfused with PRBCs of a mean storage age > 28 days. The primary endpoint was 28-day mortality. Secondary endpoints included failure-free days composites. Two hundred and eighty-three patients were eligible for analysis. Patients in the short-term storage group had similar baseline characteristics and received a similar amount of PRBC units compared with patients in the long-term storage group (five units (IQR, 3-10) vs. four units (2-8), p = 0.14). The mean storage age in the short-term storage group was 20 (±5.4) days compared with 32 (±3.1) days in the long-term storage group (mean difference 12 days (95%-CI, 11-13)). There was no difference in 28-day mortality between the short-term storage group compared with the long-term storage group (hazard ratio, 1.36 (95%-CI, 0.84-2.21), p = 0.21). While there were no differences in ventilator-free, sedation-free, and vasopressor-free days composites, patients in the long-term storage group compared with patients in the short-term storage group had a 75% lower chance for successful weaning from renal replacement therapy (RRT) within 28 days after ARDS onset (subdistribution hazard ratio, 0.24 (95%-CI, 0.1-0.55), p < 0.001). Further analysis indicated that even a single PRBC unit stored for more than 28 days decreased the chance for successful weaning from RRT. Prolonged storage of PRBCs was not associated with a higher mortality in adults with ARDS. However, transfusion of long-term stored PRBCs was associated with prolonged dependence of RRT in critically ill patients with an ARDS

Ethnic minority disparities in progression and mortality of pre-dialysis chronic kidney disease : a systematic scoping review

Background: There are a growing number of studies on ethnic differences in progression and mortality for pre-dialysis chronic kidney disease (CKD), but this literature has yet to be synthesised, particularly for studies on mortality. Methods: This scoping review synthesized existing literature on ethnic differences in progression and mortality for adults with pre-dialysis CKD, explored factors contributing to these differences, and identified gaps in the literature. A comprehensive search strategy using search terms for ethnicity and CKD was taken to identify potentially relevant studies. Nine databases were searched from 1992 to June 2017, with an updated search in February 2020. Results: 8059 articles were identified and screened. Fifty-five studies (2 systematic review, 7 non-systematic reviews, and 46 individual studies) were included in this review. Most were US studies and compared African-American/Afro-Caribbean and Caucasian populations, and fewer studies assessed outcomes for Hispanics and Asians. Most studies reported higher risk of CKD progression in Afro-Caribbean/African-Americans, Hispanics, and Asians, lower risk of mortality for Asians, and mixed findings on risk of mortality for Afro-Caribbean/African-Americans and Hispanics, compared to Caucasians. Biological factors such as hypertension, diabetes, and cardiovascular disease contributed to increased risk of progression for ethnic minorities but did not increase risk of mortality in these groups. Conclusions: Higher rates of renal replacement therapy among ethnic minorities may be partly due to increased risk of progression and reduced mortality in these groups. The review identifies gaps in the literature and highlights a need for a more structured approach by researchers that would allow higher confidence in single studies and better harmonization of data across studies to advance our understanding of CKD progression and mortality

Rings and chains in sulfur cluster anions S- to S9- : theory (simulated annealing) and experiment (photoelectron detachment)

Density functional calculations with simulated annealing have been performed for singly charged anions of sulfur clusters with up to nine atoms. The calculations predict the existence of two classes of structure: open (chain-like) and closed (ring-like), for which the vertical detachment energies (VDE) and the adiabatic electron affinities for transitions to states of the neutral clusters show pronounced differences. These calculations are complemented by photoelectron detachment measurements on sulfur cluster ions with up to 11 atoms using a pulsed arc cluster ion source (PACIS). The measurements provide unambiguous evidence for the existence of two types of isomers in both S6 - and S7 - . Although ring structures are generally energetically more stable than chain structures, the environment used to generate the larger clusters (n>~7) favors the formation of the latter. The measured VDE and vibration frequencies agree well with the calculated values

Prediction and observation of ring and chain isomers in Sn- ions

Experimental and theoretical studies have been performed on singly charged anions of sulphur clusters Sn− up to n=9. Density functional calculations with simulated annealing predict the existence of two general classes of structure comprising rings and chains, respectively, with markedly different vertical detachment energies (VDE) for transitions to states of the neutral clusters. VDE and vibration frequencies obtained from photoelectron detachment measurements using a pulsed arc cluster ion source (PACIS) agree well with the calculated values and provide unambiguous spectroscopic evidence for the existence of two types of isomers in both S6− and S7−

Structure and spectroscopy of phosphorus cluster anions : theory (simulated annealing) and experiment (photoelectron detachment)

Photoelectron detachment measurements have been performed on singly charged phosphorus cluster anions with up to nine atoms, generated by a pulsed arc cluster ion source (PACIS). Transitions between the anion ground states and states of the neutral clusters are observed for all clusters, and vibrational fine structure in both dimer and trimer. A comparison with the results of density functional calculations with simulated annealing an extension to negative ions of earlier work on neutral and positively charged clusters provides a consistent overall picture for all cluster sizes and the first experimental structural information on several

Duration of storage influences the hemoglobin rising effect of red blood cells in patients undergoing major abdominal surgery

BACKGROUND: After transfusion of senescent red blood cells (RBCs) a considerable fraction is rapidly cleared from the recipients' circulation. Thus, transfusion of senescent RBCs may be less effective in terms of increasing hemoglobin concentration (cHb) after transfusion. STUDY DESIGN AND METHODS: Data were retrospectively obtained in patients who underwent major abdominal surgery between 2006 and 2012. Patients were eligible if they received RBCs during surgery and had at least two arterial blood gas analyses performed. The primary endpoint was the increase of recipients' cHb related to the transfusion of 1 unit of RBCs with respect to different storage periods. Four storage periods were defined according to the distribution of RBC storage of the study population. General estimating equation was used for calculation of the primary endpoint and to adjust for confounding variables. RESULTS: A total of 598 arterial blood gas samples from 120 patients, receiving 429 RBC units, were analyzed. Mean (±SD) RBC storage was 21 (±9) days. RBC storage duration and the increase in recipients' cHb were inversely and gradually related; that is, the older the RBCs, the lower the increase in the recipients' cHb after transfusion (storage < 12 days, ΔcHb per unit RBCs +0.82 [95% confidence interval, 0.42-1.21] g/dL, p < 0.01; storage 12-20 days, +0.66 [0.46-0.86] g/dL, p < 0.01; storage 21-29 days, +0.56 [0.33-0.79] g/dL, p < 0.01; storage ≥30 days, +0.39 [0.07 to 0.71] g/dL, p = 0.02). CONCLUSION: Transfusion of senescent RBCs increased cHb less effectively than transfusion of fresher RBCs