SRB Measures for A Class of Partially Hyperbolic Attractors in Hilbert spaces

In this paper, we study the existence of SRB measures and their properties for infinite dimensional dynamical systems in a Hilbert space. We show several results including (i) if the system has a partially hyperbolic attractor with nontrivial finite dimensional unstable directions, then it has at least one SRB measure; (ii) if the attractor is uniformly hyperbolic and the system is topological mixing and the splitting is H\"older continuous, then there exists a unique SRB measure which is mixing; (iii) if the attractor is uniformly hyperbolic and the system is non-wondering and and the splitting is H\"older continuous, then there exists at most finitely many SRB measures; (iv) for a given hyperbolic measure, there exist at most countably many ergodic components whose basin contains an observable set

Existence of SRB Measures for A Class of Partially Hyperbolic Attractors in Banach spaces

In this paper, we study the existence of SRB measures for infinite dimensional dynamical systems in a Banach space. We show that if the system has a partially hyperbolic attractor with nontrivial finite dimensional unstable directions, then it has an SRB measure.Comment: arXiv admin note: text overlap with arXiv:1508.0330

Natural Coevolution of Tumor and Immunoenvironment in Glioblastoma.

Isocitrate dehydrogenase (IDH) wild-type glioblastoma (GBM) has a dismal prognosis. A better understanding of tumor evolution holds the key to developing more effective treatment. Here we study GBM\u27s natural evolutionary trajectory by using rare multifocal samples. We sequenced 61,062 single cells from eight multifocal IDH wild-type primary GBMs and defined a natural evolution signature (NES) of the tumor. We show that the NES significantly associates with the activation of transcription factors that regulate brain development, including MYBL2 and FOSL2. Hypoxia is involved in inducing NES transition potentially via activation of the HIF1A-FOSL2 axis. High-NES tumor cells could recruit and polarize bone marrow-derived macrophages through activation of the FOSL2-ANXA1-FPR1/3 axis. These polarized macrophages can efficiently suppress T-cell activity and accelerate NES transition in tumor cells. Moreover, the polarized macrophages could upregulate CCL2 to induce tumor cell migration. SIGNIFICANCE: GBM progression could be induced by hypoxia via the HIF1A-FOSL2 axis. Tumor-derived ANXA1 is associated with recruitment and polarization of bone marrow-derived macrophages to suppress the immunoenvironment. The polarized macrophages promote tumor cell NES transition and migration. This article is highlighted in the In This Issue feature, p. 2711

Placemaking through community and adaptable design (The Case of Coffee Park) (First Design Iteration).

Using participatory planning and community design methodologies (i.e. open planning, pattern language design, placemaking, community planning charrettes, planning-in-situ and wikiplanning) this project explores solutions to revitalize Coffee Park -- a small park along the CN railway in West Montreal. This is a complex site that shows issues of unsafety, lack of mobility and sense of place. The objective of this project is to integrate the park to its larger urban context to improve the mobility, safety and overall quality of life in this public space. After a series of visioning workshops, brainstorming sessions, two community planning charrettes and an open planning exercise, this project incorporates inputs from stakeholders, students and ordinary citizens into a collaborative urban design project. The project proposes strategies of urban re-stitching and regeneration through adaptable design and open community planning. With the objective of encouraging future adaptations and transformations, this project is published under a Creative Commons license. Adopt and adapt these ideas (but cite and acknowledge accordingly)

The Spatial Distribution and Prediction of Soil Heavy Metals Based on Measured Samples and Multi-Spectral Images in Tai Lake of China

Soil is an important natural resource. The excessive amount of heavy metals in soil can harm and threaten human health. Therefore, monitoring of soil heavy metal content is urgent. Monitoring soil heavy metals by traditional methods requires many human and material resources. Remote sensing has shown advantages in the field of monitoring heavy metals. Based on 971 heavy metal samples and Sentinel-2 multi-spectral images in Tai Lake, China, we analyzed the correlation between six heavy metals (Cd, Hg, As, Pb, Cu, Zn) and spectral factors, and selected As and Hg as the input factors of inversion model. The correlation coefficient of the best model of As was 0.53 (p p < 0.01). We used the methods of partial least squares regression (PLSR) and back propagation neural network (BPNN) to establish inversion models with different combinations of spectral factors by using 649 measured samples. In addition, 322 measured samples were used for accuracy evaluation. Compared with the PLSR model, the BP neural network builds the model with higher accuracy, and B1-B4 combined with LnB1-LnB4 builds the model with the highest accuracy. The accuracy of the best model was verified, with an average error of 19% for As and 45% for Hg. Analyzing the spatial distribution of heavy metals by using the interpolation method of Kriging and IDW. The overall distribution trend of the two interpolations is similar. The concentration of As elements tends to increase from north to south, and the relatively high value of Hg elements is distributed in the east and west of the study area. The factories in the study area are distributed along rivers and lakes, which is consistent with the spatial distribution of heavy metal enrichment areas. The relatively high-value areas of heavy metal elements are related to the distribution of metal products factories, refractory porcelain factories, tile factories, factories and mining enterprises, etc., indicating that factory pollution is the main reason for the enrichment of heavy metals

Superelastic, Fatigue-Resistant, and Flame-Retardant Spongy Conductor for Human Motion Detection against a Harsh High-Temperature Condition

The construction of wearable piezoresistive sensors with high elasticity, large gauge factor, and excellent durability in a harsh high-temperature environment is highly desired yet challenging. Here, a lightweight, superelastic, and fatigue-resistant spongy conductor was fabricated via a sponge-constrained network assembly, during which highly conductive graphene and flame-retardant montmorillonite were alternatively deposited on a three-dimensional melamine scaffold. The as-obtained spongy conductor exhibited a highly deformation-tolerant conductivity up to 80% strain and excellent fatigue resistance of 10,000 compressive cycles at 70% strain. As a result, the spongy conductor can readily work as a piezoresistive sensor and exhibited a high gauge factor value of ∼2.3 in a strain range of 60-80% and excellent durability under 60% strain for 10,000 cycles without sacrificing its piezoresistive performance. Additionally, the piezoresistive sensor showed great thermal stability up to 250 °C for more than 7 days and sufficient flame-retardant performance for at least 20 s. This lightweight, superelastic, and flame-retardant spongy conductor reveals tremendous potential in human motion detection against a harsh high-temperature environment. </p

Adaptive Management of Cultivated Land Use Zoning Based on Land Types Classification: A Case Study of Henan Province

Cultivated land serves as an important resource to ensure national food security, and how to allocate cultivated land reasonably and sustainably is an urgent problem that needs to be solved at present. Therefore, identifying land cultivability from the basic attributes of land and carrying out adaptive management measures in different zones is an effective way. Taking Henan province as a case study area, we proposed a research scheme for the adaptive management of cultivated land use zoning based on land types. First, a three-level land types classification system at the provincial level was established from five aspects—climate, topography, geology, soil properties, and hydrological conditions—and then Henan was divided into 39 first-level units, 4358 second-level units, and 6446 third-level units. On this basis, the changes in the status of land use in Henan province from 2009 to 2018 were analyzed from the four aspects of cultivated land utilization, population, grain yield, and GDP. The amount of cultivated land decreased, while the economy grew, the population increased, and grain yield increased, indicating that it is urgent to pay attention to the problem of cultivated land, and it is necessary to identify the potential space of cultivated land and manage and protect it reasonably. Based on the land types, evaluation of cultivability was carried out, the results showed that the degree of cultivability from high to low presented a transitional spatial distribution state from the east and the south to the middle, the north, and the west. Then superimposing the status of land use, six types of protection and management zones were proposed, and management suggestions were adaptively analyzed. The ideas and methods proposed in this study can be adapted to manage and utilize cultivated land from the perspective of sustainable utilization, which is of great significance for ensuring food security