Poisson valuations

We study Poisson valuations and provide their applications in solving problems related to rigidity, automorphisms, Dixmier property, isomorphisms, and embeddings of Poisson algebras and fields.Comment: 47 page

Quantitative decision making in land banking: a Monte Carlo simulation for China's real estate developers

The real estate industry is one of the fast growing industries in many developing countries such as China and India. The Chinese real estate industry has gone through many reforms from offering housing as part of its social welfare system, to the current capitalist model based on demand and supply. Due to these reforms and the shortage of lands for development in China's urban cities, many Chinese property firms have resorted to land banking in order to secure land property for future developments. However, in China, land speculation is considered illegal, while failure to purchase the suitable land for future developments will hinder the real estate developers’ future business and growth. The purpose of this paper is to develop a decision making model for property developments in their land banking decisions and strategies. The paper employed mathematical modeling and Monte Carlo simulation to examine our decision model, and further validated our results by conducting the simulation by using China Vanke Co. Ltd as a case study. This study is one of the first few studies that develop a decision model for land banking in China. It also helps real estate enterprises to make rational and dynamic decision in the current dynamic property market. First Publish Online: 19 Dec 201

Weighted Poisson polynomial rings

We discuss Poisson structures on a weighted polynomial algebra $A:=\Bbbk[x, y, z]$ defined by a homogeneous element $\Omega\in A$, called a potential. We start with classifying potentials $\Omega$ of degree deg$(x)+$deg$(y)+$deg$(z)$ with any positive weight (deg$(x)$, deg$(y)$, deg$(z)$) and list all with isolated singularity. Based on the classification, we study the rigidity of $A$ in terms of graded twistings and classify Poisson fraction fields of $A/(\Omega)$ for irreducible potentials. Using Poisson valuations, we characterize the Poisson automorphism group of $A$ when $\Omega$ has an isolated singularity extending a nice result of Makar-Limanov-Turusbekova-Umirbaev. Finally, Poisson cohomology groups are computed for new classes of Poisson polynomial algebras.Comment: 37 page

The Relationship between Serum Osteocalcin Concentration and Glucose Metabolism in Patients with Type 2 Diabetes Mellitus

To study the correlations between serum osteocalcin and glucose metabolism in patients with type 2 diabetes, 66 cases were collected to determine total osteocalcin, undercarboxylated osteocalcin, fasting blood glucose, fasting insulin, and HbA1c. Osteocalcin concentrations were compared between groups of different levels of HbA1c, and parameters of glucose metabolism were compared between groups of different levels of total osteocalcin and undercarboxylated osteocalcin. The relationship between osteocalcin and parameters of glucose metabolism was also analyzed. We found that the total osteocalcin concentration of high-HbA1c group was significantly lower than that of low-HbA1c group. The fasting blood glucose of low-total-osteocalcin group was significantly higher than that of high-total-osteocalcin group in male participants, while the fasting blood glucose of low-undercarboxylated-osteocalcin group was significantly higher than that of high-undercarboxylated-osteocalcin group in all participants and in male participants. Total osteocalcin was inversely correlated with HbA1c, and undercarboxylated osteocalcin was inversely correlated with fasting blood glucose. However, no significant correlation was found between osteocalcin and HOMA-IR. Total osteocalcin was an independent related factor of HbA1c level. In summary, decreased serum total osteocalcin and undercarboxylated osteocalcin are closely related to the exacerbation of glucose metabolism disorder but have no relations with insulin resistance

Self-assembly of Zein-based microcarrier system for colon-targeted oral drug delivery

The advances in pharmaceutical technology allow for the development of various region-selective delivery systems for oral administration to optimize local and systemic therapy. In this paper, micronization associated with a polymorph modification approach was proposed for improving the solubility of hydrophobic drugs for developing a Zein-based colon-targeted delivery system. A microcarrier based on self-assembled structures of Zein was fabricated via a built-in ultrasonic dialysis process, which displayed high payload of a model drug, indomethacin (Indo), with its optimal crystal form. The possible self-assembly mechanism of Zein/Indo forming porous structure in the ultrasonic dialysis process was attributed to the results of intra- and/or intermolecular interactions between Zein and Indo. The designed microspheres, Zein-Indo@PDA, with a surface coating of polydopamine (PDA) not only rendered them enhanced stability and mechanical resistance but also hindered the premature drug release at undesired sites. This innovative formulation design may offer better chances of colon-targeted release

Food packaging defect detection by improved network model of Faster R-CNN

Objective: Accurate identification and location of paper packaging box defects. Methods: The improved network model of Faster R-CNN was applied to automatically detect box defects. The data of the training set picture was enhanced and noise was added to improve the training accuracy and robustness of the model. The feature extraction network was replaced with ResNet50, and the feature pyramid network （FPN） was fused to improve the multi-scale detection ability of the model. K-means++ was used to cluster the defect scale in the dataset and optimize the anchor box scheme. Results: The average accuracy （AP） of the improved Faster R-CNN model on the test set reached 93.9%, and the detection speed reached 8.65 f/s. Conclusion: The improved Faster R-CNN model can effectively detect and locate box defects, which can be applied to the automatic detection and sorting of box defects

Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation

Let $H$ be a Hopf algebra that is $\mathbb Z$-graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of $H$ to be a Zhang twist of $H$. In particular, we introduce the notion of a twisting pair for $H$ such that the Zhang twist of $H$ by such a pair is a 2-cocycle twist. We use twisting pairs to describe twists of Manin's universal quantum groups associated to quadratic algebras and provide twisting of solutions to the quantum Yang-Baxter equation via the Faddeev-Reshetikhin-Takhtajan construction.Comment: In this version, our title is new and Section 3 is updated with applications of twisting pairs to obtain new solutions to the quantum Yang-Baxter equatio

H.pylori Infection inhibits Inflammatory Bowel Disease(IBD) by affecting the intestinal flora: A systematic Review

Background: Inflammatory bowel diseases (IBD) are chronic, relapsing-remitting diseases of the gastrointestinal tract, including Crohn’s disease (CD), Ulcerative Colitis (UC), and Unclassified IBD (IBDU). Their pathogenesis involves genes and the environment as cofactors in inducing autoimmunity; mainly, the interactions between enteric pathogens and immunity are studied. For example, Helicobacter pylori (HP) is a common pathogen causing gastric inflammation. However, studies found that the number of people with HP was lower than those with IBD. Therefore, it suggests that HP might protect against IBD. Methods: The search terms "helicobacter pylori," "inflammatory bowel disease," "Crohn's disease," and "ulcerative colitis" were entered into the PubMed database. Embase, Medline, Web of Science, Scopus, PubMed publisher, Cochrane, and Google Scholar were also searched. The HP prevalence rates in IBD patients, CD patients, UC patients, and IBDU patients were calculated. So its to prove that there is an inverse relationship between HP and IBD, each group was compared to a control group. Results: Even when the comparison was made separately between each group of newly diagnosed patients and controls to rule out the possibility of pharmacologic bias, the data showed an inverse relationship between the IBD group and the controls. Conclusion: The results of this review demonstrate a striking inverse association between HP infection and the prevalence of inflammatory bowel disease (IBD), regardless of the type of IBD considered across different geographic regions. Anyway, data should be interpreted with care because more research is needed on this topic that is broader, more prospective, and more consistent. This could lead to new ideas about how the environment could cause IBD. Keywords: Inflammatory bowel disease; Helicobacter pylori; Crohn’s disease; Ulcerative colitis; Colorectal cancer DOI: 10.7176/JMPB/72-04 Publication date: May 31st 202

HandDiffuse: Generative Controllers for Two-Hand Interactions via Diffusion Models

Existing hands datasets are largely short-range and the interaction is weak due to the self-occlusion and self-similarity of hands, which can not yet fit the need for interacting hands motion generation. To rescue the data scarcity, we propose HandDiffuse12.5M, a novel dataset that consists of temporal sequences with strong two-hand interactions. HandDiffuse12.5M has the largest scale and richest interactions among the existing two-hand datasets. We further present a strong baseline method HandDiffuse for the controllable motion generation of interacting hands using various controllers. Specifically, we apply the diffusion model as the backbone and design two motion representations for different controllers. To reduce artifacts, we also propose Interaction Loss which explicitly quantifies the dynamic interaction process. Our HandDiffuse enables various applications with vivid two-hand interactions, i.e., motion in-betweening and trajectory control. Experiments show that our method outperforms the state-of-the-art techniques in motion generation and can also contribute to data augmentation for other datasets. Our dataset, corresponding codes, and pre-trained models will be disseminated to the community for future research towards two-hand interaction modeling

Sucrose non-fermenting1-related protein kinase VcSnRK2.3 promotes anthocyanin biosynthesis in association with VcMYB1 in blueberry

Sucrose non-fermenting1-related protein kinase-2 (SnRK2) is a plant-specific protein kinase family and an important component of the abscisic acid (ABA) signaling pathway. However, there is a lack of relevant studies in blueberry (Vaccinium corymbosum). In this study, we identified six SnRK2 family members (from VcSnRK2.1 to VcSnRK2.6) in blueberries for the first time. In addition, we found that VcSnRK2.3 expression was not only positively correlated with fruit ripening but was also induced by ABA signaling. Transient expression in blueberry fruits also proved that VcSnRK2.3 promoted anthocyanin accumulation and the expression of anthocyanin synthesis-related genes such as VcF3H, VcDFR, VcANS, and VcUFGT. Transgenic Arabidopsis thaliana seeds and seedlings overexpressing VcSnRK2.3 showed anthocyanin pigmentation. Yeast two-hybrid assays (Y2H) and Bimolecular fluorescence complementation assays (BiFC) demonstrated that VcSnRK2.3 could interact with the anthocyanin positive regulator VcMYB1. Finally, VcSnRK2.3 was able to enhance the binding of VcMYB1 to the VcDFR promoter. Via regulation transcription of anthocyanin biosynthesis genes, VcSnRK2.3 promoted anthocyanin accumulation in blueberry. The above results suggest that VcSnRK2.3 plays an important role in blueberry anthocyanin synthesis, is induced by ABA, and can interact with VcMYB1 to promote anthocyanin biosynthesis in blueberry