Miracle-dz/UniFAR-FTUs huggingface dataset:
Turán's theorem and k-connected graphs

The minimum size of a k-connected graph with given order and stability number is investigated. If no connectivity is required, the answer is given by Turan's Theorem. For connected graphs, the problem has been solved recently independently by Christophe et al., and by Gitler and Valencia. In this article, we give a short proof of their result and determine the extremal graphs. We settle the case of 2-connected graphs, characterize the corresponding extremal graphs, and also extend a result of Brouwer related to Turan's Theorem. © 2008 Wiley Periodicals, Inc. J Graph Theory 58: 1–13, 2008
A New Solution of the Diophantine Equation X2 + 1 = 2Y4

Abstract In this paper we use the method of Thue and Siegel, based on explicit Pade approximations to algebraic functions, to solve the equation given in the title. We present an upper bound for the solutions of the Thue equation X 4 − 12X 2 Y 2 + 16XY 3 − 4Y 4 = N, namely |y|
Do prescription stimulants increase risk of Parkinson's disease among adults with attention-deficit hyperactivity disorder? A retrospective cohort study.

BACKGROUND Parkinson's disease (PD) is a common neurodegenerative disorder in older adults that is associated with neuroinflammation, oxidative stress, and characterized by loss of dopaminergic cells. Illicit stimulants increase oxidative stress and are associated with increased risk of PD. Prescription stimulants are similar in mechanism to illicit stimulants, yet their influence on PD is not well described. This study aims to determine if prescription stimulants influence risk of PD among older adults with attention-deficit and hyperactivity disorder (ADHD). METHODS We implemented a retrospective observational cohort design utilizing the TriNetX database which sources from the electronic health records of 57 healthcare organizations. Inclusion criteria were ADHD diagnosis and age ≥50. Those exposed to stimulants and the unexposed controls were matched based on demographics and known risk factors for PD. The outcome of interest was the incidence of PD over a 30-year follow-up period. We utilized TriNetX software for hazard ratio (HR) analysis. RESULTS Among the 59,471 individuals treated with prescription stimulants 131 of them developed PD, and there were 272 individuals who developed PD that were not prescribed stimulants. This analysis yielded a HR of 0.419 (HR = 0.419 [95% CI 0.34, 0.516], P = 0.0013). CONCLUSION Illicit stimulants are associated with increased risk of PD, but this study suggests prescribed stimulants may not impart that same risk. The reduced risk in this cohort may be due to protection from illicit substance use and oxidative stress, however additional study exploring the relationship between prescription stimulants and PD is warranted.
Deep learning prediction of pathological complete response, residual cancer burden, and progression-free survival in breast cancer patients

The goal of this study was to employ novel deep-learning convolutional-neural-network (CNN) to predict pathological complete response (PCR), residual cancer burden (RCB), and progression-free survival (PFS) in breast cancer patients treated with neoadjuvant chemotherapy using longitudinal multiparametric MRI, demographics, and molecular subtypes as inputs. In the I-SPY-1 TRIAL, 155 patients with stage 2 or 3 breast cancer with breast tumors underwent neoadjuvant chemotherapy met the inclusion/exclusion criteria. The inputs were dynamic-contrast-enhanced (DCE) MRI, and T2- weighted MRI as three-dimensional whole-images without the tumor segmentation, as well as molecular subtypes and demographics. The outcomes were PCR, RCB, and PFS. Three (“Integrated”, “Stack” and “Concatenation”) CNN were evaluated using receiver-operating characteristics and mean absolute errors. The Integrated approach outperformed the “Stack” or “Concatenation” CNN. Inclusion of both MRI and non-MRI data outperformed either alone. The combined pre- and post-neoadjuvant chemotherapy data outperformed either alone. Using the best model and data combination, PCR prediction yielded an accuracy of 0.81±0.03 and AUC of 0.83±0.03; RCB prediction yielded an accuracy of 0.80±0.02 and Cohen’s κ of 0.73±0.03; PFS prediction yielded a mean absolute error of 24.6±0.7 months (survival ranged from 6.6 to 127.5 months). Deep learning using longitudinal multiparametric MRI, demographics, and molecular subtypes accurately predicts PCR, RCB, and PFS in breast cancer patients. This approach may prove useful for treatment selection, planning, execution, and mid-treatment adjustment.
Safety of the bag-in-the-lens implantation regarding the development of clinically significant pseudophakic cystoid macular edema: A retrospective case series study

Purpose To determine the incidence of clinically significant pseudophakic cystoid macular edema (CSPME) after phacoemulsification using the ‘bag-in-the-lens’ lens (BIL) implantation technique and to examine the influence of associated risk factors for clinically significant pseudophakic macular edema (CSPME), both ocular and systemic. Methods This retrospective study included 2419 first-operated eyes of 2419 adults who underwent phacoemulsification cataract surgery using the BIL implantation technique between January 2013 and December 2018 in the Antwerp University Hospital, Belgium. The significance of several risk factors (age, gender, previous history, intra- and postoperative complications) was examined by extraction of electronic medical files. Results The 3-month incidence of CSPME in the subgroup without risk factors was 0.00% (95% CI: 0.00 –NA). The 3-month incidence of CSPME in the subgroup with risk factors was 0.57% (95% CI 0.22–1.29%). The 3-month incidence of CSPME in the total population of 2419 patients was 0.29% (95% CI: 0.11–0.65%). The risk factors most significantly associated with CSPME included renal insufficiency (hazard ration [HR]: 5.42; 95% CI: 1.69–17.44; P = .014), exudative age-related macular degeneration (HR: 74.50, 95% CI: 25.75–215.6; P < .001) and retinal vein occlusion (HR: 22.48, 95% CI: 4.55–111.02; P = .005). Conclusions In the absence of risk factors, the incidence of CSPME was zero. We can conclude that Primary Posterior Continuous Curvilinear Capsulorhexis (PPCCC) does not increase the risk for CSPME. Non-inferiority of the BIL implantation regarding the development of CSPME, relative to the traditional ‘lens-in-the-bag’ (LIB) implantation, confirms that BIL is a safe surgical technique. This study also illustrates a previously undescribed risk factor for developing CSPME, namely renal insufficiency.
Digital Medicine System in Veterans With Severe Mental Illness: Feasibility and Acceptability Study

Background Suboptimal medication adherence is a significant problem for patients with serious mental illness. Measuring medication adherence through subjective and objective measures can be challenging, time-consuming, and inaccurate. Objective The primary purpose of this feasibility and acceptability study was to evaluate the impact of a digital medicine system (DMS) among Veterans (patients) with serious mental illness as compared with treatment as usual (TAU) on medication adherence. Methods This open-label, 2-site, provider-randomized trial assessed aripiprazole refill adherence in Veterans with schizophrenia, schizoaffective disorder, bipolar disorder, or major depressive disorder. We randomized 26 providers such that their patients either received TAU or DMS for a period of 90 days. Semistructured interviews with patients and providers were used to examine the feasibility and acceptability of using the DMS. Results We enrolled 46 patients across 2 Veterans Health Administration sites: 21 (46%) in DMS and 25 (54%) in TAU. There was no difference in the proportion of days covered by medication refill over 3 and 6 months (0.82, SD 0.24 and 0.75, SD 0.26 in DMS vs 0.86, SD 0.19 and 0.82, SD 0.21 in TAU, respectively). The DMS arm had 0.85 (SD 0.20) proportion of days covered during the period they were engaged with the DMS (mean 144, SD 100 days). Interviews with patients (n=14) and providers (n=5) elicited themes salient to using the DMS. Patient findings described the positive impact of the DMS on medication adherence, challenges with the DMS patch connectivity and skin irritation, and challenges with the DMS app that affected overall use. Providers described an overall interest in using a DMS as an objective measure to support medication adherence in their patients. However, providers described challenges with the DMS dashboard and integrating DMS data into their workflow, which decreased the usability of the DMS for providers. Conclusions There was no observed difference in refill rates. Among those who engaged in the DMS arm, the proportion of days covered by refills were relatively high (mean 0.85, SD 0.20). The qualitative analyses highlighted areas for further refinement of the DMS. Trial Registration ClinicalTrials.gov NCT03881449; https://clinicaltrials.gov/ct2/show/NCT03881449
Hexagonal pore arrays with a 50-420 nm interpore distance formed by self-organization in anodic alumina

Self-organized hexagonal pore arrays with a 50–420 nm interpore distance in anodic alumina have been obtained by anodizing aluminum in oxalic, sulfuric, and phosphoric acid solutions. Hexagonally ordered pore arrays with distances as large as 420 nm were obtained under a constant anodic potential in phosphoric acid. By comparison of the ordered pore formation in the three types of electrolyte, it was found that the ordered pore arrays show a polycrystalline structure of a few micrometers in size. The interpore distance increases linearly with anodic potential, and the relationship obtained from disordered porous anodic alumina also fits for periodic pore arrangements. The best ordered periodic arrangements are observed when the volume expansion of the aluminum during oxidation is about 1.4 which is independent of the electrolyte. The formation mechanism of ordered arrays is consistent with a previously proposed mechanical stress model, i.e., the repulsive forces between neighboring pores at the metal/oxide interface promote the formation of hexagonally ordered pores during the oxidation process.
The Frontal Hydraulic Head: A Micro-α Scale (̃1 km) Triggering Mechanism for Mesoconvective Weather Systems

Abstract Measurements from the NOAA Boulder Atmospheric Observatory (BAO) 300 m tower, the National Center for Atmospheric Research (NCAR) Sabreliner aircraft, and the NOAA GOES-5 satellite, give evidence for the cross-front scale collapse of nonprecipitating surface cold-frontal zones to horizontal distances of ∼1 km or less. The leading edges of these frosts possess the characteristic structure of density current flows: an elevated hydraulic head followed by a turbulent wake. Vertical motions at the frontal heads exceed 5 m s−1 at 300 m (AGL). The ascent at the frontal head may act as a (∼1 km-scale) triggering mechanism for the release of potential instability and the formation of intense squall-line mesoconvection.
Rasd2 Mediates Acute Fasting-Induced Antidepressant-Like Effects via Dopamine D2 Receptor Activation in Ovariectomized Mice

Abstract Background Previous studies have shown that estrogen and acute fasting for 9 hours have antidepressant-like effects by reducing immobility time in the forced swimming test. Estrogen and acute fasting share a common regulatory gene, Rasd2. RASD2 regulates dopamine D2 receptor (DRD2) transmission, but the role of Rasd2 in the DRD2-mediated antidepressant-like effect of acute fasting has not been examined. Methods In this study, open field test, forced swimming test, tail suspension test and sucrose preference test were used for behavioral assessments. RNA-seq, western blot, enzyme-linked immunosorbent assay, and co-immunoprecipitation were used to explore the role of Rasd2 in a depression model induced by ovariectomy and the antidepressant-like effects of 9-hour fasting. Results The RNA seq results showed that acute fasting induced a significant change in Rasd2 gene expression. Depression-like behaviors induced by ovariectomy were associated with decreased RASD2 and DRD2 protein levels in the hippocampus, and Rasd2 overexpression in the hippocampus alleviated depression-like behaviors and increased DRD2 expression. Nine-hour fasting had antidepressant-like effects in ovariectomized mice by upregulating the protein levels of RASD2, DRD2, CREB-BDNF, Akt, and estrogen receptor beta, and these effects can be blocked by DRD2 antagonists. Conclusions Our results suggest that Rasd2 and DRD2 play pivotal roles in depression-like behavior induced by ovariectomy. Rasd2 regulates DRD2-mediated antidepressant-like effects of acute fasting in ovariectomized mice. Rasd2 can therefore be postulated to be a potential therapeutic target for depression and perhaps also a potential predictive marker for depression.
Early Single-Center Experience With Irreversible Electroporation for Stage 2, 3, and 4 Pancreatic Adenocarcinomas

Objectives Irreversible electroporation (IRE) is an ablation technology that uses electrical energy delivered between electrodes. If the electrodes are placed atraumatically, there is little to no risk of collateral injury, making IRE appealing for the treatment of pancreatic tumors. Methods We report on 20 patients with pancreatic adenocarcinoma (PAC) who underwent 21 IRE in our center. There were 6 IRE for stage 2 PAC, 11 for stage 3 PAC, 1 for stage 4 PAC, and 2 patients treated with IRE for recurrence after pancreaticoduodenectomy. One patient had local progression 18 months after IRE and received a second IRE treatment. Using propensity score matching (age, sex, stage, tumor size, and chemotherapy), cases were matched 2 to 1 with patients from the Surveillance, Epidemiology, and End Results database. Results A total of 7 cases experienced 8 complications; 4 complications were mild, and 4 were severe. Significant survival benefit was seen for patients with stage 3 PAC (27.5 vs 14.6 months for the matched group, P = 0.003); for stage 2, median survival was 15 months, and the single stage 4 patient survived 9 months after IRE treatment. Conclusions Pancreatic cancers were safely and effectively treated with image-guided IRE in our medium-sized center.
Endometrial hyperplasia with loss of APC in a novel population of Lyz2-expressing mouse endometrial epithelial cells

Abstract Loss of heterozygosity and promoter hypermethylation of APC is frequently observed in human endometrial cancer, which is the most common gynecological cancer in the USA, but its carcinogenic driver status in the endometrial epithelium has not been confirmed. We have identified a novel population of progenitor endometrial epithelial cells (EECs) in mice that express lysozyme M (LysM) and give rise to approximately 15% of all EECs in adult mice. LysM is a glycoside hydrolase that is encoded by Lyz2 and functions to protect cells from bacteria as part of the innate immune system. Its expression has been shown in a subset of hematopoietic stem cells and in specialized lung and small intestinal epithelial cells. Conditional deletion of Apc in LysM + EECs results in significantly more epithelial cells compared to wild-type mice. At 5 months of age, the ApccKO mice have enlarged uterine horns with pathology that is consistent with endometrial hyperplasia with cystic endometrial glands, non-villous luminal papillae and nuclear atypia. Nuclear accumulation of β-catenin and ERα, both of which are known to induce endometrial hyperplasia, was observed in the EECs of the ApccKO mice. These results confirm that loss of APC in EECs can result in a phenotype similar to endometrial hyperplasia.
Study of the mechanism underlying the role of PINK1/Parkin in the formic acid‐induced autophagy of PC12 cells

This study aimed to explore PINK1/Parkin's role in methanol metabolite formic acid‐induced autophagy in PC12 cells and provide a theoretical basis for elucidating methanol‐induced neurotoxicity. After treatment with different formic acid concentrations, we observed the morphology and mitochondria of PC12 cells. We used an ultra‐micro enzyme kit to detect the mitochondrial Na+‐K+‐ATPase and Ca2+‐Mg2+‐ATPase activities; a JC‐1 kit to detect changes in the mitochondrial membrane potential (MMP); MDC staining to detect the autophagy levels; and western blotting to measure the expression levels of the mitochondrial marker protein COX IV and the autophagy‐related proteins Beclin1, P62 and LC3II/LC3I, and the mitochondrial and cytoplasmic levels of PINK1, Parkin and P‐Parkin. Compared with the control group, the mitochondrial diameters, the mitochondrial Na+‐K+‐ATP and Ca2+‐Mg2+‐ATPase activities, the MMP, and the COX IV expression levels decreased significantly (P < 0.05). The fluorescence signal intensity (indicating autophagy); relative Beclin1 and LC3II/LC3I protein expression levels; and relative mitochondrial PINK1, Parkin and P‐Parkin levels increased significantly, and the relative P62 protein expression levels and relative cytoplasmic PINK1, Parkin and P‐Parkin levels decreased significantly (P < 0.05) compared with the control group. Thus, formic acid alters mitochondrial morphology, causes mitochondrial dysfunction, affects the PINK/Parkin pathway and, thus, activates the process of mitochondrial autophagy.
Association Between Patient Race and Ethnicity and Outcomes With COVID-19: A Retrospective Analysis From a Large Mid-Atlantic Health System

Background Members of racial and ethnic minority groups have been disproportionately impacted by coronavirus-2019 (COVID-19). The objective of the study is to describe associations between race and ethnicity on clinical outcomes such as need for mechanical ventilation and mortality. Methods Retrospective cohort study of patients with severe COVID-19 infection admitted within a large, not-for-profit healthcare system in the mid-Atlantic region between March and July, 2020. Patient demographic data and clinical outcomes were abstracted from the electronic health record. Logistic regressions were performed to estimate associations between race and ethnicity and the clinical outcomes. Results The study population (N = 2931) was stratified into 1 of 3 subgroups: non-Hispanic White (n = 466), non-Hispanic Black (n = 1611), and Hispanic (n = 654). The average age of White, Black, and Hispanic patients was 69 ± 17.06, 64 ± 15.9, and 50 ± 15.53 years old, respectively (P < .001). Compared to White patients, Black and Hispanic patients were at increased odds of needing mechanical ventilation due to COVID-19 pneumonia (odds ratio [OR] Black = 1.35, 95% confidence interval [CI] = 1.04 to 1.75, P < .05; OR Hispanic = 1.43, 95% CI = 1.06 to 1.93, P < .05). When compared to White patients, Hispanic patients were at decreased odds of death (OR = 0.45, 95% CI = 0.32 to 0.63, P < .001). However, when adjusting for age, there were no statistically significant differences in the odds of death between these groups (adjusted OR [aOR] Black = 1.05, 95% CI = 0.80 to 1.38, P = .71; aOR Hispanic = 1.10, 95% CI = 0.76 to 1.60, P = .62). Conclusion Our analysis demonstrated that Hispanic patients were more likely require mechanical ventilation but had lower mortality when compared to White patients, with lower average age likely mediating this association. These findings emphasize the importance of outreach efforts to communities of color to increase prevention measures and vaccination uptake to reduce infection with COVID-19.
Low-Temperature Elastic Properties of ZrC and TiC

The elastic constants of zirconium carbide and titanium carbide were determined over the temperature range of 4.2° to 298°K using a pulsed‐ultrasonic phase comparison technique, and are compared to previously determined values for uranium carbide. Since these carbides are of the NaCl structure, only three independent constants are required to describe their elastic behavior. Their values at 298°K are ZrC0.94TiC0. 91C114.720±0.0055. 145±0.005C120. 987±0.0051. 060±0.002C441. 593±0.0021. 788±0.002 all in units of 1012 dyn/cm2. The differences in the elastic behavior of these group IV, transition metal carbides and the monocarbide of uranium are discussed in reference to their different electronic structure.
Controversies and Disparities in the Management of Age-Related Macular Degeneration

ABSTRACT Age-related macular degeneration is a leading cause of blindness in patients aged 50 years and older. Prior to the 21st century, there were no effective treatments for this devastating disease. However, the last 20 years have heralded the development of treatments for both the nonexudative and exudative forms. The invention of AREDS vitamin supplements and anti-VEGF therapies forever changed the treatment of dry and wet age-related macular degeneration, respectively. The rapid adoption and expansion of these vision preserving treatments has created controversy regarding their cost, burden of administration, development, and use of new technologies, genetic considerations, and observed societal disparities. Many of these controversies and disparities persist today and will require further research to resolve.
Direct Measurement of Ballistic and Diffusive Electron Transport in Gold

We experimentally show that the ballistic length of hot electrons in laser-heated gold films can exceed ∼150 nm, which is ∼50% greater than the previously reported value of 100 nm inferred from pump–probe experiments. We also find that the mean free path of electrons at the peak temperature following interband excitation can reach upward of ∼45 nm, which is higher than the average value of 30 nm predicted from our parameter-free density functional perturbation theory. Our first-principles calculations of electron–phonon coupling reveal that the increase in the mean free path due to interband excitation is a consequence of drastically reduced electron–phonon coupling from lattice stiffening, thus providing the microscopic understanding of our experimental findings.
A UNIFIED CORRELATION FOR THE PREDICTION OF HEAT TRANSFER COEFFICIENTS IN LIQUID/SOLID FLUIDIZED BED SYSTEMS

In recent years, there has been considerable interest in the development of solid-liquid fluidized bed heat exchangers for efficient utilization of energy and for the control of heat transfer surface fouling. However, the design for optimum heat transfer remains uncertain and essentially empirical. In this study, a data bank containing a large number of measured heat transfer coefficients over a wide range of operational parameters (solid and liquid phase physical properties and heat transfer surface configurations) are compared with the prediction of almost all available correlations in the literature. A unified model for the prediction of heat transfer coefficients for wall-to-bed and immersed heater-to-bed systems is presented which predicts the published experimental data with good accuracy.
Uniform Test Assembly

Abstract In educational practice, a test assembly problem is formulated as a system of inequalities induced by test specifications. Each solution to the system is a test, represented by a 0–1 vector, where each element corresponds to an item included (1) or not included (0) into the test. Therefore, the size of a 0–1 vector equals the number of items n in a given item pool. All solutions form a feasible set—a subset of 2n vertices of the unit cube in an n-dimensional vector space. Test assembly is uniform if each test from the feasible set has an equal probability of being assembled. This paper demonstrates several important applications of uniform test assembly for educational practice. Based on Slepian’s inequality, a binary program was analytically studied as a candidate for uniform test assembly. The results of this study establish a connection between combinatorial optimization and probability inequalities. They identify combinatorial properties of the feasible set that control the uniformity of the binary programming test assembly. Computer experiments illustrating the concepts of this paper are presented.