A locally active discrete memristor model and its application in a hyperchaotic map

© 2022 Springer Nature Switzerland AG. Part of Springer Nature. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1007/s11071-021-07132-5The continuous memristor is a popular topic of research in recent years, however, there is rare discussion about the discrete memristor model, especially the locally active discrete memristor model. This paper proposes a locally active discrete memristor model for the first time and proves the three fingerprints characteristics of this model according to the definition of generalized memristor. A novel hyperchaotic map is constructed by coupling the discrete memristor with a two-dimensional generalized square map. The dynamical behaviors are analyzed with attractor phase diagram, bifurcation diagram, Lyapunov exponent spectrum, and dynamic behavior distribution diagram. Numerical simulation analysis shows that there is significant improvement in the hyperchaotic area, the quasi-periodic area and the chaotic complexity of the two-dimensional map when applying the locally active discrete memristor. In addition, antimonotonicity and transient chaos behaviors of system are reported. In particular, the coexisting attractors can be observed in this discrete memristive system, resulting from the different initial values of the memristor. Results of theoretical analysis are well verified with hardware experimental measurements. This paper lays a great foundation for future analysis and engineering application of the discrete memristor and relevant the study of other hyperchaotic maps.Peer reviewedFinal Accepted Versio

Catalytic Ozone Oxidation of Petrochemical Secondary Effluent: Mechanism, Application and Future Development

Petrochemical secondary effluent contains toxic and refractory organic compounds, which are difficult to be further treated by traditional biological process. In China, most of the advanced treatment units have been built recently by catalytic ozone oxidation process to achieve the high-quality effluent. In this chapter, the mechanism and reaction process of catalytic ozone oxidation of petrochemical secondary effluent will be introduced in detail. With the operation of the catalytic ozone oxidation tank, a series of problems which are not taken into account at the beginning of the design have arisen. The chapter will talk about the problems concerning the biological flocs, colloidal macromolecule organic compounds, ozone mass transfer, and catalysts based on practical applications. In the last part of the chapter, the development trends of catalytic ozone oxidation of petrochemical secondary effluent will also be discussed

Chaotic attractor with varied parameters

Based on the parameter estimation technologies of the chaotic systems, and the chaotic systems which produce chaotic attractors while their parmeters are varied, a new model of the chaotic attractors is proposed. The parameters of the proposed model are varied as same as the state variables of the traditional chaotic attractors. The variation ranges and values of the varied parameters are designed to produce the required chaotic attractors. As the parameter variation of the chaotic systems affects the chaotic attractors, it also affects the Lyaponov exponents and the complexity of the chaotic systems. It affects the construction methods of the chaotic attractor by affecting the point equilibria of the attractor. The results of the numerical simulation show that the variation process of the parameters can positively affect the sensitivity of the system to its initial conditions, which increase the values of the largest Lyapunov exponent. It also stabilizes the complexity level throughout the range of the varied parameters

Parameter Identification of Fractional-Order Discrete Chaotic Systems

Research on fractional-order discrete chaotic systems has grown in recent years, and chaos synchronization of such systems is a new topic. To address the deficiencies of the extant chaos synchronization methods for fractional-order discrete chaotic systems, we proposed an improved particle swarm optimization algorithm for the parameter identification. Numerical simulations are carried out for the Hénon map, the Cat map, and their fractional-order form, as well as the fractional-order standard iterated map with hidden attractors. The problem of choosing the most appropriate sample size is discussed, and the parameter identification with noise interference is also considered. The experimental results demonstrate that the proposed algorithm has the best performance among the six existing algorithms and that it is effective even with random noise interference. In addition, using two samples offers the most efficient performance for the fractional-order discrete chaotic system, while the integer-order discrete chaotic system only needs one sample

Discrete Memristor and Discrete Memristive Systems

In this paper, we investigate the mathematical models of discrete memristors based on Caputo fractional difference and G–L fractional difference. Specifically, the integer-order discrete memristor is a special model of those two cases. The “∞”-type hysteresis loop curves are observed when input is the bipolar periodic signal. Meanwhile, numerical analysis results show that the area of hysteresis decreases with the increase of frequency of input signal and the decrease of derivative order. Moreover, the memory effect, characteristics and physical realization of the discrete memristors are discussed, and a discrete memristor with short memory effects is designed. Furthermore, discrete memristive systems are designed by introducing the fractional-order discrete memristor and integer-order discrete memristor to the Sine map. Chaos is found in the systems, and complexity of the systems is controlled by the parameter of the memristor. Finally, FPGA digital circuit implementation is carried out for the integer-order and fractional-order discrete memristor and discrete memristive systems, which shows the potential application value of the discrete memristor in the engineering application field

A Systematic Review and Meta-Analysis of Combined Antibiotic Spacer with Ilizarov Methods in the Treatment of Infected Nonunion of Tibia

Background. The objective of this systematic review was to evaluate current studies available reporting the antibiotic spacer combined with Ilizarov methods in the treatment of infected nonunion of tibia and to perform meta-analysis of bone results and infection recurrence to assess the efficacy of an antibiotic spacer combined with Ilizarov methods. Methods. The MEDLINE, Embase, Cochrane Library, CNKI, and CBM (Chinese Biological Medicine) databases were searched for articles published between January 2000 and July 2020. Assessment of study quality was performed using a modified version of the Newcastle-Ottawa scale. Effect size and 95% confidence intervals were calculated for the main outcome. Heterogeneity was assessed. Fixed-effect modeling and Stata version 15.1 were used to analyze the data. Sensitivity analyses were conducted with the evidence of heterogeneity. Results. 11 studies involving 210 patients with infected nonunion of tibia were finally included in our meta-analysis. Bone results and infection recurrence were analyzed based on the single-arm meta-analysis. The average of external fixation index (EFI) was 46.88 days/cm in all studies included. The excellent rate in bone results and the rate of infection recurrence was 65% (95% CI: [0.22, 0.97], I2=0.0%, P=0.932) and 6.99% (95% CI: [0.052, 0.325], I2=0.0%, P=1.000) in patients with infected nonunion of tibia treated with an antibiotic spacer combined with Ilizarov methods. Conclusions. Our meta-analysis revealed that the patients with infected nonunion of tibia treated with an antibiotic spacer combined with Ilizarov methods had a high rate of excellent bone results and a low rate of infection recurrence. Therefore, combining the antibiotic spacer with Ilizarov methods may be an applicable choice for repairing and reconstructing infected nonunion of tibia

Variations in Soil Enzyme Activities and Microbial Communities along an Altitudinal Gradient on the Eastern Qinghai–Tibetan Plateau

The Qinghai–Tibetan Plateau is the highest plateau in the world and is sensitive to climate change. The dynamics of soil enzyme activities and microbial communities are good indicators of alpine biochemical processes during warming. We collected topsoil (0–10 cm) and subsoil (10–20 cm) samples at altitudes of 3200–4000 m; determined the activities of β-1,4-glucosidase (BG), cellobiohydrolase (CBH), β-1,4-N-acetyl-glucosaminidase (NAG) and acid phosphomonoesterase (PME); and performed Illumina 16S rRNA high-throughput sequencing. We found that the soil carbon (total organic carbon and dissolved organic carbon) and nitrogen (total nitrogen and dissolved organic nitrogen) fluctuated with altitude in both the topsoil and subsoil, whereas the dissolved phosphorus continuously decreased with the increasing altitude. BG and CBH decreased from 3200 to 3600 m and increased from 3800 to 4000 m, with the lowest levels occurring at 3600 m (topsoil) and 3800 m (subsoil). NAG and PME showed similar fluctuations with altitude, with the highest levels occurring at 3400 m and 4000 m in both the topsoil and subsoil. Generally, the altitudes from 3600 to 3800 m were an ecological transition belt where most of the nutrients and enzyme activities reached their lowest levels. All of the alpine soils shared similar dominant phyla, including Proteobacteria (32.7%), Acidobacteria (30.2%), Actinobacteria (7.7%), Bacteroidetes (4.4%), Planctomycetes (2.9%), Firmicutes (2.3%), Gemmatimonadetes (2.0%), Chloroflexi, (1.2%) and Nitrospirae (1.2%); Gemmatimonadetes and Verrucomicrobia were significantly affected by soil depth and Planctomycetes, Firmicutes, Gemmatimonadetes, Nitrospirae, Latescibacteria and Armatimonadetes were significantly affected by altitude. In addition, nutrient availability, enzyme activity and microbial diversity were higher in the topsoil than in the subsoil, and they had more significant correlations in the subsoil than in the topsoil. Our results provide useful insights into the close linkages between soil nutrient cycling and microbial activities on the eastern Qinghai–Tibetan Plateau, and are of great significance for further assessing the long-term impact of environmental changes in the alpine ecosystems

CDK12 loss inhibits cell proliferation by regulating TBK1 in non-small cell lung cancer cells

Lung cancer is one of the most common malignant tumors and has a poor prognosis and a low survival rate. Traditional treatments, such as radiotherapy and chemotherapy, still face some challenges because of high drug resistance and toxicity. Therefore, it is necessary to discover a new kind of targeted drug with low toxicity and high efficiency. CDK12 is a cell cycle-dependent kinase whose main function is to activate RNA polymerase II (RNAPII) and promote the transcriptional extension of RNA. However, the role and molecular mechanism of CDK12 in lung cancer are still unclear.In this study, the mutation and RNA-Seq data of CDK12 in lung adenocarcinoma and squamous cell carcinoma were downloaded from The Cancer Genome Atlas (TCGA) database and analyzed with the custom scripts. Cell proliferation was evaluated by Cell Counting Kit-8 (CCK-8) and cell colony formation assays. A subcutaneous tumor experiment in nude mice was used to examine the effects of CDK12 knockdown on the in vivo tumor growth of NSCLC cells. The cell cycle distribution and the apoptosis rate of lung cancer cells were assessed by flow cytometry. Regulation of TANK-binding kinase 1 (TBK1) by CDK12 was evaluated by quantitative PCR, immunoprecipitation and Western blot analysis.In this study we have analyzed the mutation and expression data of The Cancer Genome Atlas (TCGA) database and found that CDK12 is highly expressed in lung cancer tissues. Clinical correlation analysis showed that high expression of CDK12 in NSCLC reduces patient survival, but its high expression is only related to early tumor progression and has no significant correlation with late tumor progression and metastasis. Furthermore, we present evidence that CDK12 depletion in lung cancer cell lines not only leads to the inhibition of cell growth and induces apoptosis but also inhibits tumor growth of NSCLC cells in vivo. CDK12 positively regulates the expression of the oncogene TBK1 in lung cancer cells. These results revealed that CDK12 affects the progression of non-small cell lung cancer through positive regulation of TBK1 expression, suggesting that CDK12 might be a potential molecular target for the treatment of non-small cell lung cancer