Analogies and Relations between Non-Additive Entropy Formulas and Gintropy.

We explore formal similarities and mathematical transformation formulas between general trace-form entropies and the Gini index, originally used in quantifying income and wealth inequalities. We utilize the notion of gintropy introduced in our earlier works as a certain property of the Lorenz curve drawn in the map of the tail-integrated cumulative population and wealth fractions. In particular, we rediscover Tsallis' q-entropy formula related to the Pareto distribution. As a novel result, we express the traditional entropy in terms of gintropy and reconstruct further non-additive formulas. A dynamical model calculation of the evolution of Gini index is also presented.

Crater formation and deuterium production in laser irradiation of polymers with implanted nano-antennas.

Recent validation experiments on laser irradiation of polymer foils with and without implanted golden nanoparticles are discussed. First we analyze characteristics of craters, formed in the target after its interaction with the laser beam. Preliminary experimental results show significant production of deuterons when both the energy of laser pulse and concentration of nanoparticles are high enough. We consider the deuteron production via the nuclear transmutation reactions p+C→d+X where protons are accelerated by the Coulomb field generated in the target plasma. We argue that maximal proton energy can be above threshold values for these reactions and the deuteron yield may noticeably increase due to presence of nanoparticles.

Rapid induction onto extended-release injectable buprenorphine following opioid overdose: A case series.

Background: Buprenorphine treatment has been associated with reduced non-prescribed opioid use and opioid related overdose (OD). We evaluated initial outcomes of rapid induction onto extended-release injectable buprenorphine (BUP-XR) within 7 days of emergency department presentation for unintentional OD. Methods: Between February 2019-February 2021, N = 19 patients with opioid use disorder received buprenorphine/naloxone (4/1 mg), followed by BUP-XR (300 mg) at induction and continued BUP-XR outpatient for 6 months. Primary outcomes included adverse events, repeat OD, and death. Results: For patients who received at least one dose of BUP-XR, there were no treatment related serious adverse events or symptoms of precipitated withdrawal. In addition, there were no repeat visits for ODs or deaths within 6 months of the initial OD. Discussion: These preliminary findings support the need for larger controlled clinical trials to examine the safety and efficacy of rapid induction of BUP-XR in patients with opioid use disorder at high risk of opioid OD. Rapid induction onto long-lasting injectable buprenorphine may be a promising and protective treatment approach in the future.

QT Prolongation and In-Hospital Ventricular Arrhythmic Complications in Patients With Apical Ballooning Takotsubo Syndrome.

BACKGROUND: Takotsubo syndrome is associated with life threatening arrhythmias, and the apical ballooning pattern is characterized by a peculiar QT prolongation and particularly high-risk of arrhythmias. OBJECTIVES: The aim of the study was to determine the association of QT interval on electrocardiogram for ventricular arrhythmic complications in patients with apical ballooning Takotsubo syndrome in a diverse population at a large urban hospital in the U.S. METHODS: We reviewed 105 cases of apical ballooning Takotsubo syndrome in patients admitted between 2011 and 2017. Two cardiologists reviewed the electrocardiograms to measure QT interval, adjusted for rate using the Fridericia formula (QTCF), and ventricular arrhythmic complications during the hospitalization. Data are reported as median and interquartile range or number and percentage. RESULTS: Of the 105 patients, 86 (82%) were female, and 34 (32%) were self-reported Black or African American. The mean age was 65 years (range: 58-72 years). Left ventricular ejection fraction was 25% (range: 25%-35%). Heart rate was 101 beats/min (range: 83-121 beats/min). Ten (11%) patients experienced a ventricular arrhythmic complication and had significantly longer QTCF (470 [range: 422-543] milliseconds) than did those without complications (417 [range: 383-456] milliseconds, P = 0.031). The area under the curve for QTCF was 0.708 (95% CI: 0.536-0.880; P = 0.031). Twenty-eight (27%) patients had a QTCF ≥460 milliseconds and significantly more arrhythmic complications (21% vs 5%, odds ratio 4.997 [95% CI: 1.288-19.237], P = 0.021). QTCF was an independent predictor of ventricular arrhythmias: odds ratio 1.090 for each 10-millisecond increase in QTCF (95% CI: 1.004-1.183; P = 0.040, corrected for sex). CONCLUSIONS: In a diverse population of patients with apical ballooning Takotsubo syndrome admitted to a large urban hospital in the United States, QTCF at admission ≥460 milliseconds identifies patients at high risk for in-hospital arrhythmic complications. Further studies are needed to determine strategies aimed at shortening QT interval to potentially prevent life-threatening arrhythmic events.

The Effect of Femtosecond Laser Irradiation and Plasmon Field on the Degree of Conversion of a UDMA-TEGDMA Copolymer Nanocomposite Doped with Gold Nanorods.

In this work, the effects of femtosecond laser irradiation and doping with plasmonic gold nanorods on the degree of conversion (DC) of a urethane dimethacrylate (UDMA)-triethylene glycol dimethacrylate (TEGDMA) nanocomposite were investigated. The UDMA-TEGDMA photopolymer was prepared in a 3:1 weight ratio and doped with dodecanethiol- (DDT) capped gold nanorods of 25 × 75 or 25 × 85 nm nominal diameter and length. It was found that the presence of the gold nanorods alone (without direct plasmonic excitation) can increase the DC of the photopolymer by 6-15%. This increase was found to be similar to what could be achieved with a control heat treatment of 30 min at 180 °C. It was also shown that femtosecond laser impulses (795 nm, 5 mJ pulse energy, 50 fs pulse length, 2.83 Jcm-2 fluence), applied after the photopolymerization under a standard dental curing lamp, can cause a 2-7% increase in the DC of undoped samples, even after thermal pre-treatment. The best DC values (12-15% increase) were obtained with combined nanorod doping and subsequent laser irradiation close to the plasmon resonance peak of the nanorods (760-800 nm), which proves that the excited plasmon field can directly facilitate double bond breakage (without thermoplasmonic effects due to the short pulse length) and increase the crosslink density independently from the initial photopolymerization process.

Kaniadakis Entropy Leads to Particle-Hole Symmetric Distribution.

We discuss generalized exponentials, whose inverse functions are at the core of generalized entropy formulas, with respect to particle-hole (KMS) symmetry. The latter is fundamental in field theory; so, possible statistical generalizations of the Boltzmann formula-based thermal field theory have to take this property into account. We demonstrate that Kaniadakis' approach is KMS ready and discuss possible further generalizations.

TopEx: topic exploration of COVID-19 corpora - Results from the BioCreative VII Challenge Track 4.

TopEx is a natural language processing application developed to facilitate the exploration of topics and key words in a set of texts through a user interface that requires no programming or natural language processing knowledge, thus enhancing the ability of nontechnical researchers to explore and analyze textual data. The underlying algorithm groups semantically similar sentences together followed by a topic analysis on each group to identify the key topics discussed in a collection of texts. Implementation is achieved via a Python library back end and a web application front end built with React and D3.js for visualizations. TopEx has been successfully used to identify themes, topics and key words in a variety of corpora, including Coronavirus disease 2019 (COVID-19) discharge summaries and tweets. Feedback from the BioCreative VII Challenge Track 4 concludes that TopEx is a useful tool for text exploration for a variety of users and tasks. DATABSE URL: http://topex.cctr.vcu.edu.

Development and Validation of a Two-Step Predictive Risk Stratification Model for Coronavirus Disease 2019 In-hospital Mortality: A Multicenter Retrospective Cohort Study.

Objectives: An accurate prognostic score to predict mortality for adults with COVID-19 infection is needed to understand who would benefit most from hospitalizations and more intensive support and care. We aimed to develop and validate a two-step score system for patient triage, and to identify patients at a relatively low level of mortality risk using easy-to-collect individual information. Design: Multicenter retrospective observational cohort study. Setting: Four health centers from Virginia Commonwealth University, Georgetown University, the University of Florida, and the University of California, Los Angeles. Patients: Coronavirus Disease 2019-confirmed and hospitalized adult patients. Measurements and Main Results: We included 1,673 participants from Virginia Commonwealth University (VCU) as the derivation cohort. Risk factors for in-hospital death were identified using a multivariable logistic model with variable selection procedures after repeated missing data imputation. A two-step risk score was developed to identify patients at lower, moderate, and higher mortality risk. The first step selected increasing age, more than one pre-existing comorbidities, heart rate >100 beats/min, respiratory rate ≥30 breaths/min, and SpO2 <93% into the predictive model. Besides age and SpO2, the second step used blood urea nitrogen, absolute neutrophil count, C-reactive protein, platelet count, and neutrophil-to-lymphocyte ratio as predictors. C-statistics reflected very good discrimination with internal validation at VCU (0.83, 95% CI 0.79-0.88) and external validation at the other three health systems (range, 0.79-0.85). A one-step model was also derived for comparison. Overall, the two-step risk score had better performance than the one-step score. Conclusions: The two-step scoring system used widely available, point-of-care data for triage of COVID-19 patients and is a potentially time- and cost-saving tool in practice.

Arrhythmic Recurrence and Outcomes in Patients Hospitalized With First Episode of Electrical Storm.

Electrical storm (ES) is a life-threatening condition that may lead to recurrent arrhythmias, need for ventricular mechanical support, and death. The study aimed to assess the burden of arrhythmia recurrence and in-hospital outcomes of patients admitted for ES in a large urban hospital. We performed a retrospective analysis of patients admitted with ventricular arrhythmias from January 2018 to June 2021 and identified 61 patients with ES, defined as 3 or more episodes of ventricular tachycardia (VT) or ventricular fibrillation (VF) within 24 hours. We reviewed the in-hospital outcomes and compared outcomes between patients who had no recurrence of VT/VF after the first 24 hours (34 [56%]), those with recurrence of 1 or 2 episodes of VT/VF within a 24-hour period (15 [24%]), and patients with 3 or more recurrent VT/VF events consistent with recurrent ES after the first 24 hours (12 [20%]). Patients with recurrent ES had significantly higher in-hospital mortality as compared with those with recurrent VT/VF not meeting criteria for ES or no recurrences of VT/VF (3 [25%] vs 0 [0%] vs 0 [0%]; p = 0.002). Moreover, patients with recurrent ES also had higher rates of the combined end points of ventricular mechanical support and death (7 [58%] vs 1 [6%] vs 1 [3%], p <0.001), invasive mechanical ventilation and death (10 [83%] vs 2 [13%] vs 2 [6%], p <0.001), catheter ablation or death (12 [100%] vs 7 [47%] vs 12 [35%], p <0.001) and heart transplantation and death (3 [25%] vs 2 [13%] vs 0 [0%], p = 0.018). In conclusion, patients admitted with ES have a high risk of in-hospital recurrence, associated with extremely poor outcomes.

Eligibility Criteria Perpetuate Disparities in Enrollment and Participation of Black Patients in Pancreatic Cancer Clinical Trials.

PURPOSE: Clinical trials determine safety and efficacy of cancer therapeutics and establish standards of care. Minority patient participation in cancer clinical trials is dismal. We aimed to determine the impact of eligibility criteria on disparities in pancreatic ductal adenocarcinoma (PDAC) clinical trial candidacy. METHODS: Traditional PDAC trial eligibility criteria were obtained from ClinicalTrials.gov. Patients with PDAC who sought care at Virginia Commonwealth University Health from 2010 to 2019 were included. Clinical data were obtained from billing codes and discrete values in the electronic medical record. Eligibility criteria differences between racial groups were determined using chi-squared tests and unconditional maximum likelihood-based odds ratios. RESULTS: Among 676 patients, most identified as Black or White race (42.5% and 51.6%, respectively). Using traditional criteria, Black patients were more likely to be ineligible for participation compared with White patients (42.4% v 33.2%, P = .023) secondary to hypoalbuminemia (14.1% v 7.9%, P = .023), HIV (3.1% v 0.3%, P = .010), hepatitis B (1.7% v 0%, P = .043), and hepatitis C (9.1% v 3.4%, P = .005). Black patients were also numerically more likely to be ineligible because of renal dysfunction, recent coronary stenting, and uncontrolled diabetes mellitus. Prior cancer treatment excluded fewer Black than White patients (9.1% v 14.0%, P = .072), most attributable to lower rates of neoadjuvant chemotherapy received. Strategic eligibility criteria revisions could equalize ineligibility rates between Black and White patients (26.8% v 24.8%, P = .581). CONCLUSION: Traditional eligibility criteria differentially exclude Black patients from participating in PDAC clinical trials. These criteria perpetuate disparities, limit generalizability, and are often not medically justifiable. Revised criteria may improve participant diversity, without compromising safety or study results.

Pericarditis Recurrence After Initial Uncomplicated Clinical Course.

Acute pericarditis is an inflammatory disease associated with a non-negligible risk of acute complications and future recurrence. However, the exact incidence of pericarditis recurrence in patients with a first uncomplicated clinical course is unknown. We sought to evaluate the incidence and clinical predictors of recurrence after a first episode of acute uncomplicated pericarditis in a large urban hospital in the United States. We conducted a retrospective review, through electronic health records, to complete a database that includes patients admitted with a first episode of acute pericarditis and selected only those with an uncomplicated course (without in-hospital death, large pericardial effusion [>20 mm] or tamponade, constriction, or incessant pericarditis) at the VCU Medical Center (Richmond, Virginia) from 2009 to 2018. A total of 240 patients met acute pericarditis criteria: of the 240 patients, 164 patients (68%) had an uncomplicated course (median age [interquartile range] in years: 50 [32 to 62], 43% females). The median follow-up time was 186 (19 to 467) days. Pericarditis was idiopathic in 84 patients (51%). Fifteen patients (9%) had at least 1 episode of recurrent pericarditis. Compared with those without recurrence, patients with recurrent pericarditis were younger (37 [25 to 59] vs 51 [34 to 62] years, p = 0.034), had a higher prevalence of subacute/delayed presentation (2 [13%] vs 1 [1%], p = 0.023), and less frequently received colchicine (6 [40%] vs 100 [67%], p = 0.036). At multivariate logistic regression analysis, subacute presentation and younger age remained predictors of recurrence at follow-up. In conclusion, 9% of patients with acute pericarditis experienced a recurrence over a 6-month median follow-up despite an initial uncomplicated course. Younger age and subacute presentation were associated with a significantly increased risk of recurrence.

Transient Dynamics in the Random Growth and Reset Model.

A mean-field type model with random growth and reset terms is considered. The stationary distributions resulting from the corresponding master equation are relatively easy to obtain; however, for practical applications one also needs to know the convergence to stationarity. The present work contributes to this direction, studying the transient dynamics in the discrete version of the model by two different approaches. The first method is based on mathematical induction by the recursive integration of the coupled differential equations for the discrete states. The second method transforms the coupled ordinary differential equation system into a partial differential equation for the generating function. We derive analytical results for some important, practically interesting cases and discuss the obtained results for the transient dynamics.

Clinical features and outcomes between African American and Caucasian patients with Takotsubo Syndrome.

BACKGROUND: Takotsubo syndrome (TS) is an acute, reversible form of heart failure, often mimicking an acute coronary syndrome (ACS). Data regarding racial differences in TS are inconsistent. The aim is to assess clinical features associated with unfavorable in-hospital outcomes between African American (AA) and Caucasian (CAU) patients. METHODS: A retrospective electronic health record query identified 44 AA patients and 110 CAU patients with a diagnosis of TS. Our primary outcome was a composite of death, stroke, and cardiogenic shock during hospitalization. Variables associated with an increased risk of the primary composite outcomes were included in a logistic regression model. RESULTS: Compared to CAU patients, AA patients were a more comorbid population, and presented a higher prevalence of history of illicit drug use (27.3% vs. 13.6% P=0.044). There were no significant differences regarding in-hospital complication rates between AA and CAU patients. In the logistic regression model, infection was associated with greater risk of developing the primary outcome in AA patients (OR=7.26 [95% CI 1.22-43.17], P=0.029), whereas angina was a protective factor (OR=0.11 [95% CI 0.02-0.65], P=0.015). In CAU patients, severely depressed ejection fraction and worse peak creatinine during hospitalization increased risk of developing the primary outcome (OR=5.88 95% CI [2.01-17.17], P<0.001 and OR=1.64 [95% CI 1.15-2.58], P=0.031, respectively). Meanwhile, emotional stressors were protective (OR=0.16 [95% CI 0.03-0.88], P=0.004). CONCLUSIONS: Despite experiencing the same rate of in-hospital complications, the clinical profiles of AA patients are distinct from CAU patients admitted for TS, and clinical variables correlated with worse in-hospital outcomes also differ by race.

Muslim Women and Disparities in Cancer Diagnosis: A Retrospective Study.

Muslim women often find their religious customs at odds with their healthcare needs, such as regular gynecological check-ups and cervical cancer screenings, especially before marriage. Religious beliefs may also affect beliefs about gender roles, illness, and death, affecting seeking healthcare services. This retrospective study explored the differences in care-seeking related to cancer between Muslim women and the general female population at the Virginia Commonwealth University in the United States between 2010 and 2019. There were major differences in insurance status between the two cohorts. Muslim women were less likely to have government-sponsored health insurance and were much more likely to be uninsured than non-Muslim women. We also found that preventable female cancers were more prevalent among Muslim women than among non-Muslim women and was also diagnosed at more advanced stages.

Gintropy: Gini Index Based Generalization of Entropy.

Entropy is being used in physics, mathematics, informatics and in related areas to describe equilibration, dissipation, maximal probability states and optimal compression of information. The Gini index, on the other hand, is an established measure for social and economical inequalities in a society. In this paper, we explore the mathematical similarities and connections in these two quantities and introduce a new measure that is capable of connecting these two at an interesting analogy level. This supports the idea that a generalization of the Gibbs-Boltzmann-Shannon entropy, based on a transformation of the Lorenz curve, can properly serve in quantifying different aspects of complexity in socio- and econo-physics.

The Fibrosis-4 Index Is Associated With Need for Mechanical Ventilation and 30-Day Mortality in Patients Admitted With Coronavirus Disease 2019.

The Fibrosis-4 Index (FIB-4), developed to predict fibrosis in liver disease, was used to identify patients with coronavirus disease 2019 who will require ventilator support as well as those associated with 30-day mortality. Multivariate analysis found obesity (odds ratio [OR], 4.5), diabetes mellitus (OR, 2.55), and FIB-4 ≥2.67 (OR, 3.09) independently associated with need for mechanical ventilation. When controlling for ventilator use, sex, and comorbid conditions, FIB-4 ≥2.67 was also associated with increased 30-day mortality (OR, 8.4 [95% confidence interval, 2.23-31.7]). Although it may not be measuring hepatic fibrosis, its components suggest that increases in FIB-4 may be reflecting systemic inflammation associated with poor outcomes.

Clinical Presentation and Outcomes of Acute Pericarditis in a Large Urban Hospital in the United States of America.

BACKGROUND: Acute pericarditis is the most common presentation of pericardial diseases. Although generally benign, complications such as constrictive pericarditis, cardiac tamponade, and recurrence can occur. RESEARCH QUESTION: What are the clinical factors associated with adverse outcomes in acute pericarditis? STUDY DESIGN AND METHODS: We used an informatics-based search engine to search for International Classification of Diseases codes related to pericardial disease between January 1, 2009 and November 14, 2018 and then extracted clinical information, including only patients meeting the European Society of Cardiology criteria for acute pericarditis. We then evaluated the predictive value of clinical characteristics for adverse outcomes (cardiac tamponade, constrictive pericarditis, failure of therapy, recurrences, or death). RESULTS: We identified 240 patients with a first episode of pericarditis (51 [34-62] years, 56% males and 50% white). Pericarditis was determined to be idiopathic in 126 (53%) cases and related to cardiac injury in 79 (33%). During a median follow-up time of 179 (20-450) days, 82 (34%) patients experienced at least one adverse outcome. Subacute presentation was an independent predictor of adverse outcomes. Patients with postcardiac injury pericarditis had a lower incidence in the composite of failure of treatment and recurrence (13% vs 26%; P = .022) compared with patients with idiopathic pericarditis. Troponin I measurements were obtained in 167 patients (70%). Elevated troponin I levels were associated with lower incidence of recurrences (4% vs 17%; P = .024) and of the composite outcome (13% vs 36%; P = .004). INTERPRETATION: Acute pericarditis is associated with at least one adverse outcome in 34% of patients. Subacute presentation and idiopathic etiology are associated with higher incidence of adverse outcomes, whereas elevated troponin I levels identify a group with reduced risk of recurrences.

Axial plane characteristics of thoracic scoliosis and their usefulness for determining the fusion levels and the correction technique.

PURPOSE: There is insufficient information regarding axial plane characteristics of scoliosis despite its 3D nature. The posterior-anterior vertebral vector (VV) has been proposed to characterize the axial plane appearances of the thoracic scoliosis. This study aimed to highlight the importance of knowledge of axial plane features when determining fusion levels and correction techniques of thoracic curves. METHODS: Altogether, 233 thoracic curves were analyzed using the VV after proving its usability instead of 3D angles to determine axial plane parameters such as apical vertebral (APV) axial rotations, APV lateral displacement, and intervertebral rotations (IVR). K-means clustering and regression analysis were used to identify axial plane curve patterns and determine the relationship between the coronal angles and axial plane characteristics, respectively. RESULTS: A close correlation was found between 3D angles and VV projected angles. Eight axial plane clusters were distinct, exhibiting different lateral APV displacement toward the interacetabular axis with relatively small axial rotations and a simultaneous decrease in sagittal curves. The regression analysis showed that the correlation of coronal curve magnitude was significantly stronger (r = 0.78) with APV lateral translation than with APV axial rotation (r = 0.65). CONCLUSION: Based on these findings, the primary goal of scoliosis correction should focus on minimizing lateral translation rather than eliminating axial rotation. Knowing the IVR in the axial plane helps accurately determine the limits of the structural curves. VV-based axial views can facilitate the accurate determination of the end vertebrae and selection of the appropriate correction technique of the curve. These slides can be retrieved under Electronic Supplementary Material.

Buprenorphine dosing for the treatment of opioid use disorder through pregnancy and postpartum.

PURPOSE OF REVIEW: Opioid-related deaths are a leading cause of mortality during pregnancy through 12 months postpartum. Buprenorphine use during pregnancy is increasing, yet expert opinion on its dosing through the perinatal period is limited. We provide a review of the current clinical literature on buprenorphine dosing during pregnancy through 12 months postpartum. and present data from a retrospective chart review of patients at our institution describing trends in buprenorphine dosing during pregnancy and postpartum. Utilizing this information, we synthesize findings to provide clinical recommendations for providers. RECENT FINDINGS: Existing literature during pregnancy reflects how many women increase and split total daily buprenorphine doses as gestational age advances. SUMMARY: We present data from a retrospective chart review of patients at our institution describing trends in buprenorphine dosing during pregnancy and postpartum. Utilizing this information, we synthesize findings to provide clinical recommendations for providers. Changes in the total daily dose of buprenorphine used across pregnancy and through 12 months postpartum at the individual level do not follow consistent patterns, highlighting substantial individual variability. Altogether, buprenorphine dosing should be individualized through pregnancy and postpartum with frequent evaluations by providers and solicited input from patients.