Class Of Functions Research Articles

MICROPHERRET: MICRObial PHEnotypic tRait ClassifieR using Machine lEarning Techniques

BackgroundIn recent years, there has been a rapid increase in the number of microbial genomes reconstructed through shotgun sequencing, and obtained by newly developed approaches including metagenomic binning and single-cell sequencing. However, our ability to functionally characterize these genomes by experimental assays is orders of magnitude less efficient. Consequently, there is a pressing need for the development of swift and automated strategies for the functional classification of microbial genomes.ResultsThe present work leverages a suite of supervised machine learning algorithms to establish a range of 86 metabolic and other ecological functions, such as methanotrophy and plastic degradation, starting from widely obtainable microbial genome annotations. Tests performed on independent datasets demonstrated robust performance across complete, fragmented, and incomplete genomes above a 70% completeness level for most of the considered functions. Application of the algorithms to the Biogas Microbiome database yielded predictions broadly consistent with current biological knowledge and correctly detecting functionally-related nuances of archaeal genomes. Finally, a case study focused on acetoclastic methanogenesis demonstrated how the developed machine learning models can be refined or expanded with models describing novel functions of interest.ConclusionsThe resulting tool, MICROPHERRET, incorporates a total of 86 models, one for each tested functional class, and can be applied to high-quality microbial genomes as well as to low-quality genomes derived from metagenomics and single-cell sequencing. MICROPHERRET can thus aid in understanding the functional role of newly generated genomes within their micro-ecological context.

Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities

The aim of this paper is first to introduce generalizations of quantum integrals and derivatives which are called (ϕ-h)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(\\phi \\,-\\,h)$$\\end{document} integrals and (ϕ-h)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(\\phi \\,-\\,h)$$\\end{document} derivatives, respectively. Then we investigate some implicit integral inequalities for (ϕ-h)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(\\phi \\,-\\,h)$$\\end{document} integrals. Different classes of convex functions are used to prove these inequalities for symmetric functions. Under certain assumptions, Hermite–Hadamard-type inequalities for q-integrals are deduced. The results presented herein are applicable to convex, m-convex, and ħ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\hbar $$\\end{document}-convex functions defined on the non-negative part of the real line.

Contemporary Outcomes and Trends for the Transseptal Mitral Valve-in-Valve Procedure Using Balloon Expandable Transcatheter Valves in the United States.

Previous transcatheter valve therapy registry analyses of transcatheter mitral valve in valve (MViV) replacement of degenerated bioprosthesis reported early experience in the United States. Given recent increases in transseptal MViV volumes and introduction of the SAPIEN 3 Ultra valve, it is important to determine contemporary outcomes for patients undergoing transseptal SAPIEN 3/SAPIEN 3 Ultra MViV replacement. The Society of Thoracic Surgeons (STS)/American College of Cardiology Transcatheter Valve Therapy Registry was used to extract data for all patients undergoing transseptal SAPIEN 3/SAPIEN 3 Ultra MViV from 2015 to September 2022. Primary efficacy outcome was 1-year all-cause mortality. Secondary end points included 30-day mortality, functional class, quality of life, and mitral valve performance. Primary safety outcomes were device success and in-hospital complications. A total of 4243 patients with a mean STS score of 9.2±7.7 underwent transseptal MViV at 455 sites. The rate of Mitral Valve Academic Research Consortium technical (96.6%) success was high, and procedural complications were low. All-cause in-hospital, 30-day, and 1-year mortality rates were 3.2%, 4.3%, and 13.4%, respectively. Significant improvements in New York Heart Association class (New York Heart Association I/II, 18% to 87%) and quality of life (Kansas City Cardiomyopathy Questionnaire score, 38 to 78) were noted at 1 year (P<0.0001 for both) after MViV. Upon stratifying by STS scores, it was observed that the low-risk group (STS<4) had a significantly lower in-hospital mortality rate of 0.4%, whereas the intermediate-risk group (STS, 4-8) had an in-hospital mortality rate of 1.9%. From 2015 to 2022, the number of transseptal MViV cases/year increased significantly, whereas procedure times, length of stay, and intensive care unit hours shortened significantly. At the same time, there was a significant trend toward reduced in-hospital (P=0.0005), 30-day (P=0.004), and 1-year mortality rates (P=0.01). This multicenter, prospective study reports excellent procedural outcomes, 1-year mortality rates, and a significant improvement in quality of life for patients undergoing transseptal MViV in the contemporary era. Patients in the low-risk and intermediate-risk STS score categories had significantly better outcomes compared with those in the high-risk category. MViV is a reasonable therapy for the majority of patients with degenerated bioprosthetic mitral valves, who are anatomical candidates.

Cauchy Problem for the Korteweg–De Vries Equation in the Class of Periodic Infinite-Gap Functions

Cauchy Problem for the Korteweg–De Vries Equation in the Class of Periodic Infinite-Gap Functions

Correction to: A simple proof of Kotake–Narasimhan theorem in some classes of ultradifferentiable functions

Correction to: A simple proof of Kotake–Narasimhan theorem in some classes of ultradifferentiable functions

Fractional Newton‐type integral inequalities by means of various function classes

The authors of the paper present a method to examine some Newton‐type inequalities for various function classes using Riemann‐Liouville fractional integrals. Namely, some fractional Newton‐type inequalities are established by using convex functions. In addition, several fractional Newton‐type inequalities are proved by using bounded functions by fractional integrals. Moreover, we construct some fractional Newton‐type inequalities for Lipschitzian functions. Furthermore, several Newton‐type inequalities are acquired by fractional integrals of bounded variation. Finally, we provide our results by using special cases of obtained theorems and examples.

Clinical presentation and surgical outcomes in patients with Shone's complex: a systematic review.

Shone's complex comprises ofa combination of congenital cardiac anomalies causing obstructions in the left ventricle's inflow and outflow tracts. This systematic review aims to evaluate the clinical features and surgical outcomes of Shone's complex. An electronic literature search of PubMed and Scopus was performed to identify relevant studies related to the presentation, management, and outcomes of Shone's complex. Two reviewers independently performed selection. Data on study characteristics, participant demographics, interventions, outcomes, and follow-up durations were extracted and analyzed. A total of 691 papers were identified, with 18 studies included in the final analysis. The majority of the studies (n = 12) focused on the pediatric age group. The most common clinical presentations were coarctation of the aorta (n = 17) and mitral stenosis (n = 12). Surgical interventions often involved staged approaches, prioritizing outflow before inflow obstructions. Mitral valve repair was preferred over replacement due to better long-term outcomes (n = 8). Biventricular repair was recommended due to improved postoperative outcomes, but often needed reoperations. Reoperations were common, primarily due to recurrent coarctation (n = 10), subaortic stenosis (n = 8), and mitral valve dysfunction (n = 7). Pulmonary hypertension (n = 10) and arrhythmias (n = 11) were significant complications. Most patients were in modified Ross/NYHA functional class 1 on follow-up. Mortality rates ranged from 4 to 28%, with better outcomes associated with early and strategic surgical interventions. Early diagnosis and biventricular repair were associated with better outcomes while transplantation was often an eventuality. Standardized diagnostic criteria, long-term follow-up, and consensus guidelines are needed to improve the management of this congenital heart disease.

Fontan Completion in Adult Patients with Functionally Univentricular Hearts.

Although there are considerable amounts of data on the outcomes of pediatric patients who have undergone Fontan repair, little is known about having Fontan completed in adulthood. The study presented the midterm results of our unit's experience with the Fontan completion procedure in adult patients with functionally univentricular hearts. Between 2014-2023, 16 adult patients underwent total cavopulmonary connection completion. Relevant information was retrospectively collected. 16 patients with a median age of 19 years (18-21 years) were included. Median arterial oxygen saturation was 76% (70-80.75%), and 62.5% of the patients were NYHA Class-III. The median mean pulmonary artery pressure was 14 mmHg (9.5-14.5 mmHg). Nine patients (56%) had heterotaxy syndrome, and the median time between the last operation and total cavopulmonary connection was 15.5 years (6.75-17.5 years). The median durations for bypass and cross clamp were 160 minutes (130-201 minutes) and 120 minutes (84.5-137.5 minutes), consecutively. The postoperative course was straightforward in all. The median arterial oxygen saturation before discharge was 89.5 % (85-90%), and 68.75% of the patients were NYHA Class-II. Follow-up was complete for all patients with a median of 24 months. There was no early or late mortality or significant morbidity during the study period. We concluded that the intra-extracardiac fontan technique was feasible for meticulously selected adults undergoing total cavopulmonary connection completion, as evidenced by an acceptable mortality rate and a satisfactory mid-term outcome, including improvements in their NYHA functional class. However, the long-term consequences must be monitored.

On the finite energy classes of quaternionic plurisubharmonic functions

We investigate the finite p-energy classes Ep of quaternionic plurisubharmonic functions of Cegrell type. We also construct an example to show that the optimal constant in the energy estimate is strictly bigger than 1 for p>0, p≠1. This leads us to the fact that we can not use the variational method to solve the quaternionic Monge–Ampère equation for the classes Ep when p>0, p≠1.

Approximation with fractal radial basis functions

The article reports on the construction of a general class of fractal radial basis functions (RBFs) in the literature. The fractal RBFs is defined through fractal perturbation of a RBF through suitable choice of iterated function system (IFS). A fractal RBF may be smooth depending on the choice of the germ function and the IFS parameters. Characterizations of conditionally strictly positive definite and strictly positive definite fractal functions are studied using the definition of k-times monotonicity. Furthermore, error estimates and shape-preserving properties for the approximants Pfα defined through linear combination of cardinal fractal RBFs are investigated. Several examples are presented to illustrate the convergence of the operator Pfα across various parameters, highlighting the advantages of the fractal approximant Pfα over the corresponding classical operator Pf. Finally, estimates for the box dimension of the graphs of approximants derived from fractal radial basis functions are given.

CIED-based remote monitoring in heart failure using the HeartLogic™ algorithm: Which patients benefit most?

Background & Aims: Early identification of worsening HF enables timely adjustments to prevent hospitalization. Recent studies show the HeartLogic™ algorithm detects congestion and reduces HF events. However, it is unclear which patients benefit most. Therefore, this study aims to identify and characterize HF patients who benefit most from CIED-based remote monitoring with HeartLogic™. Methods: In this multicenter retrospective study, patients with a CIED and HeartLogic™ algorithm under structured follow-up were included. Patients were classified as having “substantial benefit” or “no benefit” from monitoring. Results: In total, 242 patients were included (male n = 190, 79%, median age 61 years [IQR 61–77]). Median follow-up was 1.2 years [IQR 1.1–2.7]. Among 378 alerts, 266 were true positive (70%) and 112 false positive (30%). Of the 242 patients, 69 (29%) were classified as having “substantial benefit”, while 173 (71%) had “no benefit” from HeartLogic™ monitoring. Univariate and multivariate analysis showed that patients with “substantial benefit” had higher NYHA functional class (OR 2.64, P = 0.004), higher NT-ProBNP (OR 1.02, P = 0.003), higher serum creatinine (OR 1.10, P < 0.001), lower LVEF (OR 1.19, P = 0.004), more severe mitral regurgitation (OR 2.16, P = 0.006), higher right ventricular end diastolic volume (OR 1.05, P = 0.040), higher pulmonary artery pressures (OR 1.19, P = 0.003), and were more likely to use loop diuretics (OR 2.79, P = 0.001). Among patients with “substantial benefit,” the positive predictive value (PPV) of HeartLogic™ to detect congestion was 92%. Conclusion: The utilization of CIED-based HeartLogic™ driven HF care demonstrated pronounced efficacy, predominantly in patients exhibiting characteristics of HF at a more advanced disease stage.

Outcomes of Cardiac Resynchronization Therapy by New York Heart Association Class: A Patient-Level Meta-Analysis.

Data on the benefits of cardiac resynchronization therapy (CRT) in patients with severe heart failure symptoms are limited. We investigated the relative effects of CRT in patients with ambulatory New York Heart Association (NYHA) IV versus III functional class at the time of device implantation. In this meta-analysis, we pooled patient-level data from the MIRACLE (Multicenter InSync Randomized Clinical Evaluation), MIRACLE-ICD (Multicenter InSync Implantable Cardioversion Defibrillation Randomized Clinical Evaluation), and COMPANION (Comparison of Medical Therapy, Pacing, and Defibrillation in Heart Failure) trials. Outcomes evaluated were time to the composite end point of the first heart failure hospitalization or all-cause mortality, and time to all-cause mortality alone. The association between CRT and outcomes was evaluated using a Bayesian hierarchical Weibull survival regression model. We assessed if this association differed between NYHA III and IV groups by adding an interaction term between CRT and NYHA class as a random effect. A sensitivity analysis was performed by including data from RAFT (Resynchronization-Defibrillation for Ambulatory Heart Failure). Our pooled analysis included 2309 patients. Overall, CRT was associated with a longer time to heart failure hospitalization or all-cause mortality (adjusted hazard ratio [aHR], 0.79 [95% credible interval [CI], 0.64-0.99]; posterior probability or P=0.044), with a similar association with time to all-cause mortality (aHR, 0.78 [95% CI, 0.59-1.03]; P=0.083). Associations of CRT with outcomes were not significantly different for those in NYHA III and IV classes (ratio of aHR, 0.72 [95% CI, 0.30-1.27]; P=0.23 for heart failure hospitalization/mortality; ratio of aHR, 0.70 [95% CI, 0.35-1.34]; P=0.27 for all-cause mortality alone). The sensitivity analysis, including RAFT data, did not show a significant relative CRT benefit between NYHA III and IV classes. Overall, there was no significant difference in the association of CRT with either outcome for patients in NYHA functional class III compared with functional class IV.

Hankel and Toeplitz Determinants of Logarithmic Coefficients of Inverse Functions for the Subclass of Starlike Functions with Respect to Symmetric Conjugate Points

This paper focuses on finding the upper bounds of the second Hankel and Toeplitz determinants, whose entries are logarithmic coefficients of inverse functions for a new subclass of starlike functions with respect to symmetric conjugate points associated with the exponential function defined by subordination. Results on initial Taylor coefficients and logarithmic coefficients of inverse functions for a new subclass are also presented. This study may inspire others to focus further to the coefficient functional problems associated with the inverse functions of various classes of univalent functions.

A Specific Class of Harmonic Meromorphic Functions Associated with the Mittag-Leffler Transformation

This article uses the Mittag-Leffler transformation to explore a specific category of harmonic meromorphic functions. The Mittag-Leffler transformation is a crucial tool for analysing meromorphic functions and provides essential properties and insights into their behavior. The main focus of this study is on harmonic meromorphic functions that can be represented by the Mittag-Leffler transformation. Furthermore, this research introduces an innovative derivative operator that incorporates this transformation into the domain of harmonic meromorphic functions. The Mittag-Leffler transformation is widely recognised as a powerful technique for analysing various mathematical functions, especially those with fractional order derivatives. It improves our understanding of harmonic meromorphic functions and their inherent characteristics. The research findings highlight the effectiveness of this new derivative operator in unraveling the complexities of these functions. They provide valuable insights into their behavior and fundamental traits. Additionally, the study offers coefficient inequalities, the distortion theorem, distortion bounds, extreme points, convex combinations, and convolution analyses specifically tailored to functions within this particular class.

The role of coronary artery reimplantation for anomalous right coronary artery originating from the opposite sinus of valsalva: preliminary outcomes and insights from a latin American country.

Despite promising results, coronary artery reimplantation appears to have fallen into oblivion among multiple approaches to repair anomalous coronary arteries. We describe the outcomes of 12 patients with an anomalous right coronary artery originating from the opposite sinus of Valsalva with an interarterial course who were surgically treated with this technique between 2018 and 2023 in two institutions in Bogota, Colombia. We provide preliminary evidence of the value of coronary reimplantation as a more than suitable technique, particularly in resource-constrained settings. It offers high rates of symptomatic control and functional class recovery while assessing all potential high-risk features, with a low risk of complications, even in middle-aged patients. We also advocate using noninvasive anatomical descriptions and patient symptoms over inducible ischaemia tests in decision-making.

Generalized techniques for constructing the generating functions of some algebraic and rational functions

We construct generating functions for general forms of certain classes of algebraic and rational functions using only basic tools of Mathematics. This approach unifies, extends and generalizes several techniques of constructing generating functions.

Fair Shares: Feasibility, Domination, and Incentives

We consider fair allocation of indivisible goods to n equally entitled agents. Every agent i has a valuation function vi from some given class of valuation functions. A share s is a function that maps [Formula: see text] to a nonnegative value. A share is feasible if for every allocation instance, there is an allocation that gives every agent i a bundle that is acceptable with respect to vi, one of value at least her share value [Formula: see text]. We introduce the following concepts. A share is self-maximizing if reporting the true valuation maximizes the minimum true value of a bundle that is acceptable with respect to the report. A share s ρ-dominates another share [Formula: see text] if [Formula: see text] for every valuation function. We initiate a systematic study of feasible and self-maximizing shares and a systematic study of ρ-domination relation between shares, presenting both positive and negative results. Funding: The research of M. Babaioff is supported in part by a Golda Meir Fellowship. The research of U. Feige is supported in part by the Israel Science Foundation [Grant 1122/22].

In silico investigation of lipid-based compounds implicated in amyotrophic lateral sclerosis

Amyotrophic lateral sclerosis (ALS) is a fatal, currently incurable neurodegenerative disease that progressively affects the upper motor neurons in the brain and lower motor neurons in the spinal cord. A significant portion of patients exhibit abnormalities in lipid metabolism, which appear to contribute to denervation and subsequent motor neuron degeneration. This study aimed to computationally identify lipid-based compounds associated with ALS and elucidate their pathological and therapeutic roles to facilitate effective ALS diagnosis and treatment. The methodologies employed encompassed rational database searches, pharmacokinetic and target predictions, as well as docking and molecular dynamics simulations (MDS). The findings from the disease-to-lipids analysis identified 20 lipid compounds correlated with ALS, primarily categorized as potential inhibitors within the functional classes of vitamins, antibiotics, organic acids, and phytochemicals. Pharmacokinetic predictions revealed that only four compounds exhibited permeability across the blood&amp;ndash;brain barrier, namely 4-hydroxynonenal, resveratrol, rotenone, and valproic acid. Docking simulations indicated the highest binding affinity for 4-hydroxynonenal with alkaline ceramidase 2 (&amp;minus;4.516 kcal/mol), resveratrol with carbonic anhydrase 6 (&amp;minus;7.070 kcal/mol), rotenone with cytochrome P450 2C19 (&amp;minus;7.378 kcal/mol), and valproic acid with glutamate carboxypeptidase 2 (&amp;minus;5.629 kcal/mol). Furthermore, MDS and molecular mechanics/generalized born surface area calculations demonstrated the stability and binding energies of the complexes under simulated physiological conditions. In summary, further investigation is warranted to explore the synergistic effects of resveratrol and valproic acid in ALS, the mechanisms underlying 4-hydroxynonenal adduct-assisted aggregate formation of certain enzymes in ALS, and the impact of prolonged human exposure to rotenone from marine food sources (such as fish) on the development of ALS.

Holistic and Practical Approach for Assessing Flood Risks of Low Volume Asphalt Roads

Flood-induced damage to roadways is well recognized and documented in local and national media as well as in the literature. However, the damage to pavement structures that remain visually intact after a flood event are far from well understood, nor is there a guideline for selecting an appropriate engineering tool or procedure to evaluate such structural damage, based on flood characteristics and roadway conditions. While low volume roads are the most vulnerable to flood-induced damage, many municipalities, such as smaller cities, towns, or local government districts, are the least prepared to address such risks and hazards to their transportation infrastructure because of the lack of financial or technical resources. A holistic framework for assessing flood damage after a flood event or for future flood scenarios is proposed, which considers destructiveness of hazard (i.e., flood), vulnerability, and consequence of the flood. A quantitative, composite indicator, risk factor ( RF), as a multiplication of hazard destructiveness factor ( HF), vulnerability factor ( VF), and consequence factor ( CF), can readily be approximated with flood characteristics, pavement characteristics, and functional class of pavement and traffic volume. A flooding risk map is then developed, on the basis of the RF in a space of physical damage factor ( PF)–consequence factor ( CF). The map is divided into three different risk zones: high risk zone ( RF&gt;64), medium risk zone (27&lt; RF≤64), and low risk zone ( RF≤27). The proposed holistic, quantitative approach has been applied to six flooded pavement sections in Louisiana to evaluate its feasibility and application potential.

Effects of malnutrition on disease severity and adverse outcomes in idiopathic pulmonary arterial hypertension: a retrospective cohort study

BackgroundMalnutrition is common in patients with chronic cardiovascular disease and is associated with significantly higher all-cause mortality. Approximately one-third of patients with heart failure are malnourished. However, the relationship between malnutrition and idiopathic pulmonary arterial hypertension (IPAH) remains unclear. This study aimed to clarify the prognostic value of malnutrition in patients with IPAH.MethodsA total of 432 consecutive participants with IPAH were included in this study between March 2013 and August 2021. Three common malnutrition assessment tools, including the geriatric nutritional risk index (GNRI), prognostic nutritional index (PNI), and controlling nutritional status (CONUT) score, were used to evaluate the nutritional status of patients with IPAH. The relationships between the malnutrition tools and long-term adverse outcomes were determined using restricted cubic splines and multivariate Cox regression models.ResultsDuring a mean follow-up of 3.1 years, 158 participants experienced clinical worsening or all-cause death. Patients were stratified into the low-, intermediate- and high-risk groups based on the European Society of Cardiology (ESC) risk stratification, and the PNI (55.9 ± 5.7 vs. 54.4 ± 7.2 vs. 51.1 ± 7.1, P = 0.005) and CONUT score (2.1 ± 0.9 vs. 2.5 ± 1.2 vs. 3.3 ± 1.1, P < 0.001) identified these patient groups better than the GNRI. All three malnutrition tools were associated with well-validated variables that reflected IPAH severity, such as the World Health Organization functional class, 6-min walk distance, and N-terminal pro-brain natriuretic peptide level. The CONUT score exhibited better predictive ability than both the GNRI (ΔAUC = 0.059, P < 0.001) and PNI (ΔAUC = 0.095, P < 0.001) for adverse outcomes and significantly improved reclassification and discrimination beyond the ESC risk score. Multivariable Cox regression analysis indicated that only the CONUT score (hazard ratio = 1.363, 95% confidence interval 1.147, 1.619 per 1.0-standard deviation increment, P < 0.001) independently predicted adverse outcomes.ConclusionsThe malnutrition status was associated with disease severity in patients with IPAH. The CONUT score provided additional information regarding the risk of clinically worsening events, making it a meaningful risk stratification tool for these patients.