The existence and the stability of solutions for equilibrium problems with lower and upper bounds

In this paper, we study a class of equilibrium problems with lower and upper bounds. We obtain some existence results of solutions for equilibrium problems with lower and upper bounds by employing some classical fixed-point theorems. We investigate the stability of the solution sets for the problems, and establish sufficient conditions for the upper semicontinuity, lower semicontinuity and continuity of the solution set mapping $S:Lambda_1imesLambda_2o2^{X}$ in a Hausdorff topological vector space, in the case where a set $K$ and a mapping $f$ are perturbed respectively by parameters $lambda$ and $mu.

UShareX: An Online Application Helper for Information Science Program

This paper describes the process of developing the website ‘UShareX: An Online Application Helper for Information Science Program’. The website will serve as a new platform for our non-profit organization UShareX, which helps Chinese students apply for information science program in US. Process topics includes the project background, system and software decisions, content, functionality and layout, and future updates.Master of Science in Information Scienc

Molecular subgroups of adult medulloblastoma: a long-term single-institution study

Background Recent transcriptomic approaches have demonstrated that there are at least 4 distinct subgroups in medulloblastoma (MB); however, survival studies of molecular subgroups in adult MB have been inconclusive because of small sample sizes. The aim of this study is to investigate the molecular subgroups in adult MB and identify their clinical and prognostic implications in a large, single-institution cohort. Methods We determined gene expression profiles for 13 primary adult MBs. Bioinformatics tools were used to establish distinct molecular subgroups based on the most informative genes in the dataset. Immunohistochemistry with subgroup-specific antibodies was then used for validation within an independent cohort of 201 formalin-fixed MB tumors, in conjunction with a systematic analysis of clinical and histological characteristics. Results Three distinct molecular variants of adult MB were identified: the SHH, WNT, and group 4 subgroups. Validation of these subgroups in the 201-tumor cohort by immunohistochemistry identified significant differences in subgroup-specific demographics, histology, and metastatic status. The SHH subgroup accounted for the majority of the tumors (62%), followed by the group 4 subgroup (28%) and the WNT subgroup (10%). Group 4 tumors had significantly worse progression-free and overall survival compared with tumors of the other molecular subtypes. Conclusions We have identified 3 subgroups of adult MB, characterized by distinct expression profiles, clinical features, pathological features, and prognosis. Clinical variables incorporated with molecular subgroup are more significantly informative for predicting adult patient outcome

Integrated Behavior Planning and Motion Control for Autonomous Vehicles with Traffic Rules Compliance

In this article, we propose an optimization-based integrated behavior planning and motion control scheme, which is an interpretable and adaptable urban autonomous driving solution that complies with complex traffic rules while ensuring driving safety. Inherently, to ensure compliance with traffic rules, an innovative design of potential functions (PFs) is presented to characterize various traffic rules related to traffic lights, traversable and non-traversable traffic line markings, etc. These PFs are further incorporated as part of the model predictive control (MPC) formulation. In this sense, high-level behavior planning is attained implicitly along with motion control as an integrated architecture, facilitating flexible maneuvers with safety guarantees. Due to the well-designed objective function of the MPC scheme, our integrated behavior planning and motion control scheme is competent for various urban driving scenarios and able to generate versatile behaviors, such as overtaking with adaptive cruise control, turning in the intersection, and merging in and out of the roundabout. As demonstrated from a series of simulations with challenging scenarios in CARLA, it is noteworthy that the proposed framework admits real-time performance and high generalizability.Comment: 7 pages, 5 figures, accepted for publication in The 2023 IEEE International Conference on Robotics and Biomimetics (ROBIO

Detecting Change-Points in Epidemic Models

Abstract. The purpose of this research is to propose a new method for detecting change points with an epidemic alternative (in the form of a step function). There are several parametric approaches and nonparametric approaches in the literature that can be used for detecting change-points in epidemic models. Yan [16] summarized some existing parametric approaches. The approaches summarized in Yao's paper are based on the assumption of known population variances. The proposed test statistic in this research does not depend on the assumption of known population variances. This better fits the real world situation. Monte-Carlo simulation was used to find the critical values of the test. The power study was also based on Monte-Carlo simulation. The simulation result shows that the test statistic proposed in this research provides quite decent power compared with other existing statistical procedures, especially for the case that the step is large and duration of the epidemic is long. In 1997, a likelihood ratio test was proposed by Csorgo and Horvath Keywords: Change-point, epidemic alternative, power comparison, Monte Carlo simulation, unknown variances. Introduction The problem of detecting changes in the characteristics of a random process is referred to as the changepoint problem. This problem has become a fast developing research area in statistics mainly due to its important applications and newly developed theoretical and computational methods. Change-point problems occur in a wide variety of fields including detecting shifts in production processes, comparing and matching DNA sequences, examining the impact of social programs, and studying structural shifts in one or more parameters of the models in economics, engineering, political science and other empirical sciences. Change-points with epidemic alternatives were formulated by Levin and Kline [11] to model the changes over time in the proportion of abortions. In the epidemic change model, the random process is assumed to be stable initially, and then at an unknown time point it will exhibit an abrupt change in the characteristics, which will continue for an unknown duration before stabilizing again to the initial state. The standard normal of a neuron exhibiting a modulated activity during a time period and then reverting to its spontaneous activity is an example of this model, which was described by Commenges, et al [12]. Bromeling and Tsurumi [13] described a number of applications of this model in econometrics. Later, Siegmun

Reflectance and Carbon Isotopes of Kerogen in Lower Cambrian Black Shales of Zunyi and Zhangjiajie, Southwest China : Indicators to the Source of Au-Ag-PGE

China University of GeosciencesInstitute of Geochemistry, Academia SinicaScedule:17-18 March 2003, Vemue: Kanazawa, Japan, Kanazawa Citymonde Hotel, Project Leader : Hayakawa, Kazuichi, Symposium Secretariat: XO kamata, Naoto, Edited by:Kamata, Naoto

Transcriptome and network analyses reveal key pathways and genes involved in response to carotenoid deposition in scallop muscle

Carotenoids are essential nutrients for humans and animals, and carotenoid content has become an important trait to evaluate the nutritional value of many cultured animals. Marine animals provide humans with diverse carotenoids, and developing carotenoid-enriched varieties has been the focus of marine animal breeding. Understanding the molecular mechanism of carotenoid deposition could benefit marine animal breeding for carotenoid content improvement. In the present study, transcriptomic analysis of adductor muscle was performed between Yesso scallop (Patinopecten yessoensis) with white muscle (WM) and carotenoid-enriched orange muscle (OM). A total of 683 differentially expressed genes (DEGs) were identified, with 302 and 381 genes being up- and down-regulated in OM scallop. Gene co-expression network analysis identified four carotenoid accumulation−related modules, including three up-regulated modules and one down-regulated module. The genes in up-regulated modules mainly participate in the pathways of translation and transcription (MEgreen), immune system (MElightyellow), and lipid metabolism (MEpink), while the down-regulated module is mainly enriched with genes involved in various metabolic pathways (MEturquoise). As the causal gene responsible for muscle coloration in scallop, PyBCO-like 1 is the hub gene of MEturquoise and showed strong connectivity with NR2F1A, a transcriptional factor involved in the regulation of retinoic acid. In addition, the up-regulated DEGs, including WDR3, RPP29, TBL3, RIOK2, and NOB1 from “ribosome biogenesis”, HSP70s and HSP702Bs from “antigen processing and presentation”, and ACOX1 from “PPAR signaling pathway” were identified as hub genes, indicating the potential regulatory role of these genes and pathways in response to carotenoid accumulation. Our data contribute to a deeper understanding of the regulatory and response mechanisms of carotenoid accumulation in marine animals