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A RANDOM DISPERSION SCHRÖDINGER EQUATION WITH NONLINEAR TIME-DEPENDENT LOSS/GAIN
Jian, Hui,Liu, Bin Korean Mathematical Society 2017 대한수학회보 Vol.54 No.4
In this paper, the limit behavior of solution for the $Schr{\ddot{o}}dinger$ equation with random dispersion and time-dependent nonlinear loss/gain: $idu+{\frac{1}{{\varepsilon}}}m({\frac{t}{{\varepsilon}^2}}){\partial}_{xx}udt+{\mid}u{\mid}^{2{\sigma}}udt+i{\varepsilon}a(t){\mid}u{\mid}^{2{\sigma}_0}udt=0$ is studied. Combining stochastic Strichartz-type estimates with $L^2$ norm estimates, we first derive the global existence for $L^2$ and $H^1$ solution of the stochastic $Schr{\ddot{o}}dinger$ equation with white noise dispersion and time-dependent loss/gain: $idu+{\Delta}u{\circ}d{\beta}+{\mid}u{\mid}^{2{\sigma}}udt+ia(t){\mid}u{\mid}^{2{\sigma}_0}udt=0$. Secondly, we prove rigorously the global diffusion-approximation limit of the solution for the former as ${\varepsilon}{\rightarrow}0$ in one-dimensional $L^2$ subcritical and critical cases.
Jianhui Zhang,Jun Ge,Juyin Li,Jianqiang Li,Yong Zhang,Yinghui Shi,Jiaojiao Sun,Qiongjin Wang,Xiaobo Zhang,Xing-xu Zhao 대한수의학회 2023 Journal of Veterinary Science Vol.24 No.1
Background: Inactivated vaccines are limited in preventing foot-and-mouth disease (FMD) due to safety problems. Recombinant virus-like particles (VLPs) are an excellent candidate for a novel vaccine for preventing FMD, given that VLPs have similar immunogenicity as natural viruses and are replication- and infection-incompetent. Objectives: The 3C protease and P1 polyprotein of type O FMD virus (FDMV) was expressed in yeast Hansenula polymorpha to generate self-resembling VLPs, and the potential of recombinant VLPs as an FMD vaccine was evaluated. Methods: BALB/c mice were immunized with recombinant purified VLPs using CpG oligodeoxynucleotide and aluminum hydroxide gel as an adjuvant. Cytokines and lymphocytes from serum and spleen were analyzed by enzyme-linked immunosorbent assay, enzyme-linked immunospot assay, and flow cytometry. Results: The VLPs of FMD were purified successfully from yeast protein with a diameter of approximately 25 nm. The immunization of mice showed that animals produced high levels of FMDV antibodies and a higher level of antibodies for a longer time. In addition, higher levels of interferon-γ and CD4+ T cells were observed in mice immunized with VLPs. Conclusions: The expression of VLPs of FMD in H. polymorpha provides a novel strategy for the generation of the FMDV vaccine.
LIMIT OF FUEL INJECTION RATE IN THE COMMON RAIL SYSTEM UNDER ULTRA-HIGH PRESSURES
Jianhui Zhao,Leonid Grekhov,Pengfei Yue 한국자동차공학회 2020 International journal of automotive technology Vol.21 No.3
The common rail injection system with higher injection pressure can improve injection characteristics. However, relevant researches for injection characteristics under ultra-high pressures are insufficient. In this article, the results of experiments with a maximum injection pressure of 390 MPa for nine different injectors of four types are presented. The experiment showed the existence of supercritical pressure during injection. At pressures below the supercritical pressure, the injection quantity increases with increasing injection pressure, however, when the injection pressure is over supercritical pressure, the injection quantity does not increase. According to the experiment results, the supercritical injection pressure is about 300 ~ 350 MPa. Under ultra-high pressures, fuel is strongly heated and the local sound velocity decreases, and the adiabatic flow velocity reaches the sound velocity. Under supercritical pressure, the injection rate ceases to increase and even begins to fall. The traditional equations for calculating the injection rate cannot correctly describe the injection under ultrahigh pressures. A new mathematic model with considering the fuel heating for describing the injection quantity of compressible fluid was developed, this model is not only suitable for calculating the injection quantity under ultra-high pressures, but under traditional injection pressures.
An Adaptive Neural Sliding Mode Control with ESO for Uncertain Nonlinear Systems
Jianhui Wang,Peisen Zhu,Biaotao He,Guiyang Deng,Chunliang Zhang,Xing Huang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.2
An adaptive neural sliding mode control with ESO for uncertain nonlinear systems is proposed to improve the stability of the control system. Any control system inevitably exists uncertain disturbances and nonlinearities which severely affect the control performance and stability. Neural network can be utilized to approximate the uncertain nonlinearities. Nevertheless, it produces approximate errors, which will become more difficult to deal with as the order of the system increases. Moreover, these errors and uncertain disturbances will result in a consequence that the control system can be unable to converge quickly, and has to deal with a lot of calculations. Therefore, in order to perfect the performance and stability of the control system, this paper combines sliding mode control and ESO, and designs an adaptive neural control method. The simulation results illustrate that the improved system has superior tracking performance and anti-interference ability.
Jianhui Cai,Limin Xia,Jinlei Li,Shichang Ni,Huayu Song,Xiangbin Wu 대한암학회 2019 Cancer Research and Treatment Vol.51 No.1
Purpose We investigated the role of tumor-associated macrophages (TAMs) on the epithelial to mesenchymal transition (EMT) of colorectal cancer cells and determined the potential mechanism involved in the metastatic process. Materials and Methods In this study, flow cytometry was used to detect the expression of target proteins. We used transwell assay to evaluate the migration of cancer cells under specific conditions. Using real-time polymerase chain reaction, we examined the expressions of cytokines and EMTrelated markers in mRNA level. Animal assay was performed for analysis in vivo and hematoxylin and eosin was used to visualize the effect of TAMs on tumor metastasis. We also used immunohistochemistry and Western blotting to detect the expression of target proteins. Results Here, we observed enrichment of TAMs in colorectal tumor tissues, resulting in high metastasis in clinical therapy. Moreover, those TAMs could facilitate the EMT progression of colorectal cancer cells, which is induced by the transforming growth factor-β (TGF-β) derived from TAMs, leading to the invasion and migration of cancer cells. Conclusion Our results demonstrated that TAMs contributed the EMT progression through a TGF-β/ Smad2,3-4/Snail signaling pathway, and disrupting this pathway with TGF-β receptor inhibitor could suppress metastasis, readjusting our focus to the connection of TAMs and cancer metastasis.
Loss of Torque on Magnetic Fluid Seals with Rotating-shafts
Jianhui Hu,Meng Zhao,Lu Wang,Jibin Zou,Yong Li 한국자기학회 2017 Journal of Magnetics Vol.22 No.2
The effects of loss of torque on magnetic fluid seals with rotating-shafts and the general difficulty of studying magnetic fluid seals are the focus of this work. The mechanism underlying loss of torque on such seals is analyzed using theoretical methods that show that loss of torque can be affected by several factors, including the velocity of the rotating-shaft, the structure of the sealing device, the characteristics of the magnetic field, and the characteristics of the magnetic fluid. In this paper, a model of the loss of torque is established, and the results of finite element analysis and testing and simulations are analyzed. It is concluded that (ⅰ) the viscosity of the magnetic fluid increased with the intensity of the magnetic field within a certain range; (ⅱ) when the magnetic fluid was saturated, the increase in loss of torque tended to gradually slow down; and (ⅲ) although the axial active length of the magnetic fluid may decrease with increasing speed of the rotating-shaft, the loss of torque increased because of increasing friction.
Collision-Free Adaptive Control for UAV Formation with Input Saturation and Communication Delays
Jianhui Lu,Fan Luo,Zhong Zheng,Mingxin Hou,Lin Wang 한국항공우주학회 2022 International Journal of Aeronautical and Space Sc Vol.23 No.3
This paper addresses the collision-free adaptive formation control problem for multiple unmanned aerial vehicles subject to input saturation and communication delays. First, a novel collision-free adaptive saturated control scheme is proposed using potential function and anti-windup compensator approaches. It shows that the velocity consensus and collision avoidance are realized when the directed communication topology is strongly connected. Second, the collision-free adaptive saturated control algorithm is proposed considering communication delays and collision avoidance, and it enables the asymptotic stability of the closed-loop system when the time-varying communication delays are decreasing to zero eventually. Finally, numerical simulations demonstrate that the proposed control approaches are effective, while the objectives of collision avoidance and velocity consensus are fulfilled.
Jianhui Wang,Guolong Xie,Xin Qi,Ruifeng Ming,Bin Zhang,Hai Lu 한국화학공학회 2022 Korean Journal of Chemical Engineering Vol.39 No.6
Four carbon sources (including trehalose, glucose, acetic acid, and yeast extract) were used as the co-metabolicmatrix of pentachlorophenol (PCP). The effect of the carbon sources on the process of acclimatization and degradationof PCP was investigated. The acclimatization rate of carbon sources with different substrates, the activities ofmicrobial enzymes in the co-metabolism process, and the control of co-metabolism reaction conditions were evaluated. The kinetic model of co-metabolic degradation of PCP in micro aerated sequencing batch reactor (SBR) wasestablished based on the Monod equation. The model was applied to fit the operating conditions of the micro aeratedSBR process in this study. The experimental results showed that the type and concentration of metabolic matrix greatlyinfluenced the degradation rate of PCP, and its trehalose, glucose, and acetic acid enhanced the degradation of PCP. Inparticular, the strengthening effect of trehalose was pronounced. When trehalose was used as a co-metabolic carbonsource, the time required for PCP degradation to a predetermined degree was shortened to one-fifth of the original,PCP removal rate exceeded 95%. At the same time, yeast extract inhibited the biodegradation of PCP when it was usedas an additional matrix carbon source. After the co-metabolism carbon source was added to the system, the proliferationrate of the microorganism was increased, and the key enzymes of PCP degradation were induced in the system. When the co-metabolic carbon source concentration was high, it accelerated active enzymes’ induction and maintainedhigh activity; 2,3,5-triphenyltetrazolium chloride-electron transport system (TTC-ETS) activity reached about 7.6mgTF/(gTSS·H), and 2-(p-iodophenyl)-3-(p-nitrophenyl)-5-phenyl Tetrazolium chloride-electron transport system(INT-ETS) activity reached 63.5mgINTF/(gTSS·H). When the concentration of co-metabolism carbon source wasextremely high, the co-degradation of toxic organic compounds was inhibited, leading to a decrease in the co-degradationrate. The kinetic model optimized the co-metabolism substrate. The degradation rate of PCP was increased by54.9% by micro-aeration-co-metabolism. The kinetic model was used to fit the microaerobic reaction process of microaeration SBR. The relevant result was in agreement with the experimental result by 97.6%.