Beyond Fermi pseudopotential: a modified GP equation

We present an effective potential and the corresponding modified Gross-Pitaevskii equation that account for the energy dependence of the two-body scattering amplitude through an effective-range expansion. For the ground state energy of a trapped condensate, the theory leads to what we call a shape-dependent confinement correction that improves agreements with diffusion Monte Carlo calculations. The theory illustrates, for relatively strong confinement and/or high density, how the shape dependence on atom-atom interaction can come into play in a many-atom quantum system.Comment: 8 pages, 5 figure

Approximating Partial Likelihood Estimators via Optimal Subsampling

With the growing availability of large-scale biomedical data, it is often time-consuming or infeasible to directly perform traditional statistical analysis with relatively limited computing resources at hand. We propose a fast and stable subsampling method to effectively approximate the full data maximum partial likelihood estimator in Cox's model, which reduces the computational burden when analyzing massive survival data. We establish consistency and asymptotic normality of a general subsample-based estimator. The optimal subsampling probabilities with explicit expressions are determined via minimizing the trace of the asymptotic variance-covariance matrix for a linearly transformed parameter estimator. We propose a two-step subsampling algorithm for practical implementation, which has a significant reduction in computing time compared to the full data method. The asymptotic properties of the resulting two-step subsample-based estimator is established. In addition, a subsampling-based Breslow-type estimator for the cumulative baseline hazard function and a subsample estimated survival function are presented. Extensive experiments are conducted to assess the proposed subsampling strategy. Finally, we provide an illustrative example about large-scale lymphoma cancer dataset from the Surveillance, Epidemiology,and End Results Program

Screening and regulatory mechanisms of biomarkers related to neddylation in laryngeal squamous cell carcinoma

ObjectiveNeddylation is a crucial posttranscriptional modification involved in tumor progression. This study aimed to explore neddylation-associated biomarkers and the underlying mechanism in laryngeal squamous cell carcinoma (LSCC).MethodsThis study evaluated the expression of neddylation-related genes (NRGs) retrieved from the Reactome and TCGA databases to conduct a series of analyses and constructed an LSCC prognostic risk model followed by functional enrichment and mechanism prediction. Moreover, the key genes involved in this signature were also confirmed in an in vitro cell model.ResultsA total of 79 NRGs were differentially expressed in LSCC (P.adj <0.05). A prognostic gene signature was constructed, and COMMD2, WSB2 and CUL9 were determined to be prognostic genes. The nomogram indicated that this gene signature performed well in forecasting the 1-, 3-, and 5-year overall survival of LSCC patients. The CUL9 and WSB2 genes were enriched in RIBOSOME, and silencing WSB2 significantly inhibited the malignant behaviors of LSCC cells. In this gene signature, patients could be markedly distinguished into high- and low-risk groups characterized by different immune infiltration and drug sensitivity between them. WSB2 and COMMD2 jointly predicted that hsa-miR-185-5p, hsa-miR-4644 and hsa-miR-4306 were the common microRNAs (miRNAs) and regulatory networks.ConclusionThis study successfully established a neddylation-associated prognostic risk model for LSCC and revealed that COMMD2, WSB2, and CUL9 could act as new therapeutic targets, which might provide valuable information for the research and treatment of LSCC

Frequency-Domain-Based Function Generation Synthesis for Planar Multi-Loop Mechanisms

This paper presents a novel frequency-domain-based approach for function generation synthesis in planar multi-loop mechanisms featuring two independent kinematic loops. To our knowledge, this is the first extension of frequency-domain-based synthesis to planar multi-loop mechanisms. Leveraging the Orthogonality of Trigonometric Functions, the system of equations is derived using a frequency-domain physical interpretation, and reformulated into an optimization problem that balances constraint accuracy and numerical stability. This formulation enables the direct acquisition of multiple, defect-free solutions. Unlike time-domain methods, the proposed approach greatly reduces circuit and branch defects without requiring complex singularity or defect analysis. In contrast to existing frequency-domain methods limited to four-bar mechanisms with full-cycle crank inputs, it supports both revolute and prismatic joints and allows motion profiles such as trapezoidal or S-curve planning. The method also avoids explicit trajectory specification for each loop by treating the Fourier coefficients of the shared passive joint as unknowns, while using linear constraints and coefficient symmetry to reduce complexity. Its effectiveness is demonstrated through two novel multi-loop finger mechanisms, the Watt II mechanism, and a comparison with a time-domain method, highlighting its practicality and broad applicability

High-dimensional quantile mediation analysis with application to a birth cohort study of mother-newborn pairs

MOTIVATION: There has been substantial recent interest in developing methodology for high-dimensional mediation analysis. Yet, the majority of mediation statistical methods lean heavily on mean regression, which limits their ability to fully capture the complex mediating effects across the outcome distribution. To bridge this gap, we propose a novel approach for selecting and testing mediators throughout the full range of the outcome distribution spectrum. RESULTS: The proposed high-dimensional quantile mediation model provides a comprehensive insight into how potential mediators impact outcomes via their mediation pathways. This method\u27s efficacy is demonstrated through extensive simulations. The study presents a real-world data application examining the mediating effects of DNA methylation on the relationship between maternal smoking and offspring birthweight. AVAILABILITY AND IMPLEMENTATION: Our method offers a publicly available and user-friendly function qHIMA(), which can be accessed through the R package HIMA at https://CRAN.R-project.org/package=HIMA

3-Methyl­quinoxaline-2-carb­oxy­lic acid 4-oxide monohydrate

In the crystal structure of the title compound, C10H8N2O3·H2O, mol­ecules are linked via inter­molecular O—H⋯O and O—H⋯N hydrogen bonds into a two-dimensional network

On Optimal Packet Routing in Deterministic DTNs

International audienceIn this paper, we investigate the problem of determining the routing that minimizes the maximum/average delivery time or the maximum/average delivery delay for a set of packets in a deterministic Delay Tolerant Network, i.e. in a network for which all the nodes' transmission opportunities are known in advance. While the general problem with multiple sources and multiple destinations is NP-hard, we present a polynomial time algorithm that can efficiently compute the optimal routing in the case of a single destination or of a single packet that needs to be routed to multiple destinations

Regulation of COL1A2, AKT3 genes, and related signaling pathway in the pathology of congenital talipes equinovarus

Congenital talipes equinovarus (CTEV) is one of the most common congenital limb defects in children, which is a multifactorial and complex disease that associates with many unknown genetic, social-demographic, and environmental risk factors. Emerging evidence proved that gene expression or mutation might play an important role in the occurrence and development of CTEV. However, the underlying reasons and involved mechanisms are still not clear. Herein, to probe the potential genes and related signaling pathways involved in CTEV, we first identified the differentially expressed genes (DEGs) by mRNA sequencing in pediatric patients with CTEV compared with normal children. The gene of COL1A2 was upregulated, and AKT3 was downregulated at the transcriptional level. Western blot and quantitative polymerase chain reaction (qRT-PCR) results also showed that the expression of COL1A2 in CTEV was enhanced, and the AKT3 was decreased. Furthermore, the COL1A2 Knock-in (+COL1A2) and AKT3 Knock-out (-AKT3) transgenic mice were used to verify the effects of these two genes in the CTEV, and the results of which showed that both COL1A2 and AKT3 were closely related to the CTEV. We also investigated the effect of the PI3K-AKT3 signaling pathway in CTEV by measuring the relative expression of several key genes using Western blot and qRT-PCR. In line with the Kyoto Encyclopedia of Genes and Genomes (KEGG) analysis data, the PI3K-AKT3 signaling pathway might play a potentially important role in the regulation of pathological changes of CTEV. This study will provide new ideas for the mechanism investigation and prenatal diagnosis of CTEV

Analysis of the sulfate permease family in Bursaphelenchus xylophilus in the nematode development and stress adaptation

IntroductionPine wilt disease (PWD), caused by the pine wood nematode (PWN) Bursaphelenchus xylophilus, poses a significant threat to global pine forests. The sulfate permease (SULP) family is essential for sulfate transport, sulfur assimilation and cellular homeostasis, yet it remains uncharacterized in B. xylophilus. This study aimed to comprehensively identify all members of the SULP family in B. xylophilus and to elucidate their roles in nematode development and stress adaptation.MethodsThrough genomic data analysis, we identified 10 members of the SULP family in B. xylophilus and conducted a comprehensive characterization of their physicochemical properties, conserved motifs, protein structures, and gene expression profiles across different developmental stages.ResultsThe results revealed Bx-sulps were located on 5 chromosomes of B. xylophilus. Phylogenetic analysis unveiled both conserved and divergent evolutionary patterns of these proteins compared to counterparts in other nematodes. Expression analysis demonstrated upregulation of Bx-sulps during the dauer third-instar larva (D3) stage, suggesting their involvement in stress response and diapause. Moreover, certain Bx-sulps exhibited high expression levels in adult stages, indicating a potential role in reproductive processes.DiscussionThe study presents the first comprehensive examination of BxSULP family, shed light on its significance in nematode development and stress adaptation. These findings provide the groundwork for further functional investigations and may aid in the development of targeted strategies for managing PWD