Studying concurrent systems is to sort the read/write and control events in the concurrent system according to the order, or in partial order, or in strict order. Because of the concurrency of events and the timeliness of writing events, there will be overlap between events, which requires interval order analysis. A single start and end sequence to represent the entire hierarchical order structure as well as all equivalent spaced order observations.a single sequence of beginnings and endings to represent the entire stratified order structures as well as all equivalent interval order observations. Mazurkiewicz traces and Comtracks are hierarchical traces, but they cannot describe interval traces. In a few sentences of this summary, we can tell the problems (petri interval traces with data), the previous work (Mazurkiewicz traces, Comtracks), the reasons that cannot be solved, and our own solutions (DPN: Petri nets with data, interval traces). This paper focuses on a BE (Beginnings and Endings) sequence representing an equivalent class of runs, or targets. Our goal is to have a BE sequence to represent the entire hierarchical order structure, that is, all equivalent observable interval orders.

Objective: To compare the overall survival (OS) and surgical outcomes between open and minimally invasive surgery (MIS) in a large cohort of women with Type II endometrial cancer. Methods: Using the National Cancer Database, we identified a cohort of women who underwent hysterectomy for type II endometrial cancer (serous, clear cell, carcinosarcoma) between January 2010 and December 2014. Primary outcome was the comparison of OS between MIS and the open approach. Secondary outcomes included the length of hospital stay, readmission rate, 30- and 90-day mortality. Multivariable logistic regression and inverse propensity weighting analyses were performed. Results: A total of 12,905 patients with Type II, Stage I-III endometrial cancer who underwent hysterectomy were identified. Among these patients, 7,123 (55.2%) underwent MIS. The utilization of MIS increased from 39% to 64% over the four-year period. In propensity-score-weighted analysis, MIS was associated with superior OS (101.7 vs. 86.7 months, p=0.0003 by the log-rank test), with a hazard ratio of 0.9 (CI 0.857-0.954, p=0.0002). MIS was also associated with improved perioperative outcomes, including a shorter length of stay (1 vs. 4 days, p<0.001), lower 30-day readmission rate (2.5% vs. 5%), and lower 30- and 90-day postoperative mortality (0.5% vs. 1.3% and 1.5% vs. 3.6%, respectively; p<0.001). The time interval between surgery and initiation of chemotherapy was shorter in the MIS group (38 vs. 41 days, p<0.001).The increase in MIS adoption correlated with a decrease in 90-day postoperative mortality (2.8% to 2.2%, r=-0.89; p=0.003) and 12-month overall mortality (51% to 38%, r=-0.95, p=0.006). Conclusions: In an epidemiologic study, MIS is associated with improved overall survival and superior perioperative outcomes compared to open surgery in women with Type II endometrial cancer.

(1) Background: We previously reported the development of a recombinant protein SARS-CoV-2 vaccine, consisting of the Receptor-Binding Domain (RBD) of the SARS-CoV-2 spike protein, adjuvanted with aluminum hydroxide (alum) and CpG oligonucleotides. In mice and non-human primates, our wild-type (WT) RBD vaccine induced high neutralizing antibody titers against the WT isolate of the virus, and, with partners in India and Indonesia it was later developed into two closely resembling human vaccines, Corbevax and Indovac. Here, we describe the development and characterization of a next-generation vaccine adapted to the recently emerging XBB variants of SARS-CoV-2. (2) Methods: We conducted preclinical studies in mice using a novel yeast-produced SARS-CoV-2 XBB.1.5 RBD subunit vaccine candidate formulated with alum and CpG. We examined the neutralization profile of sera obtained from mice vaccinated twice intramuscularly at a 21-day interval with the XBB.1.5-based RBD vaccine, against WT, Beta, Delta, BA.4, BQ.1.1, BA.2.75.2, XBB.1.16, XBB.1.5 and EG.5.1 SARS-CoV-2 pseudoviruses. (3) Results: The XBB.1.5 RBD/CpG/alum vaccine elicited a robust antibody response in mice. Furthermore, serum from vaccinated mice demonstrated potent neutralization against the XBB.1.5 pseudovirus as well as several other Omicron pseudoviruses. However, regardless of high antibody cross-reactivity by ELISA, the anti-XBB.1.5 RBD antigen serum showed low neutralizing titers against the WT and Delta virus variants. (4) Conclusions: Whereas we observed modest cross-neutralization against Omicron subvariants by sera from mice vaccinated with the WT RBD/CpG/Alum vaccine or with the BA.4/5-based vaccine, sera raised against the XBB.1.5 RBD showed robust cross-neutralization. These findings underscore the imminent opportunity for an updated vaccine formulation utilizing the XBB.1.5 RBD antigen.