Elliptic genus and vertex operator algebras

We construct bundles of modules of vertex operator algebras, and prove the rigidity and vanishing theorem for the Dirac operator on loop space twisted by such bundles. This result generalizes many previous results.Comment: 24 pages, Corrected typo

Fault Diagnosis for Substation with Redundant Protection Configuration Based on Time-Sequence Fuzzy Petri-Net

Due to timing inconsistency, dual protection configuration and uncertainty diagnosis result characteristics of 750kV substation, fault diagnosis method of substation with redundant protection configuration which based on time sequence fuzzy Petri nets is proposed. In this method, redundant knowledge about fault component is represented by using two sets of protected information. On that basis, component redundant diagnosis-model based on time sequence fuzzy Petri net is constructed, which can be decomposed into main and redundant subnet-model. In this model, initial-information credibility is determined using information-entropy, timing constraint is checked, and initial-information credibility is corrected using the relationship between acted protection and breaker. Compared with fuzzy Petri net diagnosis method take no account of timing constraint, this method can not only identify the malfunction information, but also obtain a certain result

Cooperative Adaptive Learning Control for a Group of Nonholonomic UGVs by Output Feedback

A high-gain observer-based cooperative deterministic learning (CDL) control algorithm is proposed in this chapter for a group of identical unicycle-type unmanned ground vehicles (UGVs) to track over desired reference trajectories. For the vehicle states, the positions of the vehicles can be measured, while the velocities are estimated using the high-gain observer. For the trajectory tracking controller, the radial basis function (RBF) neural network (NN) is used to online estimate the unknown dynamics of the vehicle, and the NN weight convergence and estimation accuracy is guaranteed by CDL. The major challenge and novelty of this chapter is to track the reference trajectory using this observer-based CDL algorithm without the full knowledge of the vehicle state and vehicle model. In addition, any vehicle in the system is able to learn the knowledge of unmodeled dynamics along the union of trajectories experienced by all vehicle agents, such that the learned knowledge can be re-used to follow any reference trajectory defined in the learning phase. The learning-based tracking convergence and consensus learning results, as well as using learned knowledge for tracking experienced trajectories, are shown using the Lyapunov method. Simulation is given to show the effectiveness of this algorithm

Interactions between p-Akt and Smad3 in injured muscles initiate myogenesis or fibrogenesis

In catabolic conditions such as aging and diabetes, IGF signaling is impaired and fibrosis develops in skeletal muscles. To examine whether impaired IGF signaling initiates muscle fibrosis, we generated IGF-IR+/- heterozygous mice by crossing loxP-floxed IGF-IR (exon 3) mice with MyoD-cre mice. IGF-IR+/- mice were studied because we were unable to obtain homozygous IGF-IR-KO mice. in IGF-IR+/- mice, both growth and expression of myogenic genes (MyoD and myogenin; markers of satellite cell proliferation and differentiation, respectively) were depressed. Likewise, in injured muscles of IGF-IR+/- mice, there was impaired regeneration, depressed expression of MyoD and myogenin, and increased expression of TGF-beta 1, alpha-SMA, collagen I, and fibrosis. To uncover mechanisms stimulating fibrosis, we isolated satellite cells from muscles of IGF-IR+/- mice and found reduced proliferation and differentiation plus increased TGF-beta 1 production. in C2C12 myoblasts (a model of satellite cells), IGF-I treatment inhibited TGF-beta 1-stimulated Smad3 phosphorylation, its nuclear translocation, and expression of fibronectin. Using immunoprecipitation assay, we found an interaction between p-Akt or Akt with Smad3 in wild-type mouse muscles and in C2C12 myoblasts; importantly, IGF-I increased p-Akt and Smad3 interaction, whereas TGF-beta 1 decreased it. Therefore, in muscles of IGF-IR+/- mice, the reduction in IGF-IR reduces p-Akt, allowing for dissociation and nuclear translocation of Smad3 to enhance the TGF-beta 1 signaling pathway, leading to fibrosis. Thus, strategies to improve IGF signaling could prevent fibrosis in catabolic conditions with impaired IGF signaling.Satellite HealthAmerican Diabetes AssociationNational Institute of Diabetes and Digestive and Kidney DiseasesBaylor Coll Med, Div Nephrol, Dept Med, Houston, TX 77030 USAEmory Univ, Dept Med, Div Renal, Atlanta, GA 30322 USACapital Med Univ, Beijing An Zhen Hosp, Beijing Inst Heart Lung & Blood Vessel Dis, Beijing, Peoples R ChinaUniversidade Federal de São Paulo, Div Nephrol, Dept Med, São Paulo, BrazilUniversidade Federal de São Paulo, Div Nephrol, Dept Med, São Paulo, BrazilAmerican Diabetes Association: 1-11-BS-194National Institute of Diabetes and Digestive and Kidney Diseases: R37-DK-37175National Institute of Diabetes and Digestive and Kidney Diseases: T32-DK-62706Web of Scienc

Development of a network visualization and analysis system for malignant tumors based on transcriptome data

Shiny technology has developed rapidly in recent years, as an R package for developing interactive app, through which we can package the written R code into a web app, which can not only save user time, but also accelerate the development of the speed of user-end communication, analyze the transcriptome data of related malignant tumors, and construct a ceRNA network diagram of desired malignant tumors. The code utilizing shiny technology package can facilitate users to map the ceRNA network associated with malignant tumors only through screen operation, significantly improving the efficiency and accuracy of clinical decision support in primary hospitals