Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects by Blessing O. Emerenini, Stefanie Sonner, Hermann J. Eberl

“…We analyze a mathematical model of quorum sensing induced biofilm dispersal. …”
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Research of Design and Control Strategy of Power Coupling Mechanism for Dual-motor Electric Vehicle by Wang Fei Wang Tie Wu Zhifei

“…Finally， the corresponding driving module and control strategy module are built in Matlab/Simulink according to the mathematical model of each part of the vehicle， and the mathematical simulation is carried out. …”
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Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor by Jiri Vojtesek, Petr Dostal

“…Proposed controller is tested by the simulations on the mathematical model of the continuous stirred-tank reactor with cooling in the jacket as a typical nonlinear system.…”
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Formation of Residual Bubbles in Diesel Engine Nozzle and Their Influence on Initial Jet by Xiaonan Ni, Hua Wen

“…Establish a cavitation mathematical model to analyze the details of internal flow and initial jet. …”
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A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach by Aaron Padilla-Garcia, Gilberto Gonzalez-Avalos, Noe Barrera-Gallegos, Gerardo Ayala-Jaimes

“…In order to obtain the mathematical model of the singularly perturbed nonlinear systems, a lemma based on the junction structure of the bond graph with a preferred integral causality assignment is proposed. …”
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Theoretical and Experimental Study on Rapid Decompression Oscillation in Altitude Chamber by Zifeng Tian, Jianfeng Lu, Zhao Gu, Lihua Yu, Hao Zhou, Lijun Yang

“…Given the frequent airflow excitation phenomenon caused by the rapid decompression of the altitude chamber, the mathematical model of the nonlinear system of the rapid decompression of the altitude chamber is established. …”
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A DSP-Controlled Permanent Magnet Synchronous Motor Control System for Hybrid Vehicles by Qiang Fu

“…Combined with the basic equation of PMSM and the transmission system of the hybrid vehicle, the mathematical model of PMSM-EV was established. The experimental results show that the maximum torque current ratio control method applied to hybrid vehicles can effectively reduce the loss, improve the efficiency and dynamic performance, and solve the endurance problem of hybrid vehicles to a certain extent. …”
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Intelligent Controller Design for Quad-Rotor Stabilization in Presence of Parameter Variations by Oualid Doukhi, Abdur Razzaq Fayjie, Deok Jin Lee

“…The paper presents the mathematical model of a quadrotor unmanned aerial vehicle (UAV) and the design of robust Self-Tuning PID controller based on fuzzy logic, which offers several advantages over certain types of conventional control methods, specifically in dealing with highly nonlinear systems and parameter uncertainty. …”
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Design of distributed implementation and performance analysis of asymptotic optimality for cooperative two-way relaying networks by LI Chun-guo1, ZHONG Chong-xian2, YANG Lv-xi1, PAN Yue3

“…The realization scheme in the distributed manner was researched for the cooperation transmission of the multi-ple two-way relays,moreover the performance analysis of the asymptotic optimality was also presented.First of all,an upper-bound function was obtained for the true value of the average mean squared error of the whole system by the SNR approximations.Furthermore,a mathematical model was established based on this bound function.Secondly,an optimal solution was obtained for the established problem by using the matrix transform and mathematical derivations.Finally,the realization scheme was obtained in the distributed manner.The proposed scheme avoided the strict requirement that every relay must know the full channel state information（CSI） of the whole networks,while can easily achieve the gain of the relays cooperation by requiring every relay know its local CSI consisted of its forward and backward CSI.There-fore,the proposed scheme not only avoided the central control as required by the central manner and the large amount of the feedback overheads,but also achieved much gain.Theory analysis shows that the proposed scheme is asymptotically optimal.…”
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Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion by Tetsutaro Shibata

“…This equation is related to the mathematical model of animal dispersal and invasion, and λ is parameterized by the maximum norm α=uλ∞ of the solution uλ associated with λ and is written as λ=λ(α). …”
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Modelling the Effects of Snail Control and Health Education in Clonorchiasis Infection in Foshan, China by Shujing Gao, Ruixia Yuan, Yujiang Liu, Xinzhu Meng

“…In this paper, a mathematical model of clonorchiasis sinensis is proposed to mimic its transmission dynamics to assess the effects of intervention strategies such as snail control, health education, and chemotherapy. …”
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3D limit analysis of masonry pavilion domes on octagonal drum subjected to vertical loads by Carlalberto Anselmi, Filomena Galizia, Eduardo Saetta

“…By using the static theorem applied to the dome discretized in rigid macro-blocks of variable shape aligned along parallels and meridians, a mathematical model have been constructed in order to search for the load collapse multiplier, and thus to evaluate the degree of structural safety. …”
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Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions by Pawarisa Samalerk, Nopparat Pochai

“…The one-dimensional advection-diffusion-reaction equation is a mathematical model describing transport and diffusion problems such as pollutants and suspended matter in a stream or canal. …”
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RP-Ring: A Heterogeneous Multi-FPGA Accelerator by Shuaizhi Guo, Tianqi Wang, Linfeng Tao, Teng Tian, Zikun Xiang, Xi Jin

“…In order to avoid overall performance loss caused by the slowest board, we build a mathematical model to decompose workload among FPGAs. The dividing of workload is based on the logic resource, memory access bandwidth, and communication bandwidth of each FPGA chip. …”
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On the frictionless unilateral contact of two viscoelastic bodies by M. Barboteu, T.-V. Hoarau-Mantel, M. Sofonea

“…We consider a mathematical model which describes the quasistatic contact between two deformable bodies. …”
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DYNAMIC RESPONSES OF THE ELECTRICAL MEASURING SENSOR AND THE SIMPLY-SUPPORTED BEAM WITH TRANSVERSE MOVING LOAD by LIN Yun, BAI Yun

“…In this paper,the definite mathematical model was proposed before hand; and the model can be divided into two sub-problems considering of the linearity of the problem,then the method of separation of variables and the inherent function method were used to give the theoretical solutions respectively,an numerical example were introduced to give the deflection responses and the stress responses of the simply-supported beam and the dynamic responses of the capacitor of the sensor in order to illustrate the important effects of the dynamic effects. …”
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Kinematics Analysis of a 2PRP_aU-2PSS Parallel Mechanism by Zheng Xin, Du Li, Che Linxian, Li Jie, Huang Xin, Lu Jiahong, Yi Hongyu

“…Finally, the two results are basically consistent, which indicates that the kinematic mathematical models of the discussed mechanism derived are correct and reliable.…”
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Analysis of Bio-Sorption of Cr(VI) onto Raw Rice Husk by a Hybrid Theoretical Model Using Results of Batch Experiments by Debasish Sarkar, Sudip K Das, Amitava Bandyopadhyay

“…Experimental results follow the Langmuir adsorption isotherm reasonably well. A hybrid mathematical model that takes into account the shrinking core approach coupled with the well-known progressive conversion model has been proposed to simulate the dynamic behaviour of the present system using the results obtained from the batch adsorption experiments. …”
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Optimal Feedback Control of Cancer Chemotherapy Using Hamilton–Jacobi–Bellman Equation by Yong Dam Jeong, Kwang Su Kim, Yunil Roh, Sooyoun Choi, Shingo Iwami, Il Hyo Jung

“…For this, we first propose a mathematical model of tumor-immune interactions and conduct stability analysis of two equilibria. …”
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Design and Development of the Transmission Shaft Electromagnetic Brake and Half Shaft Wet Brake Integrated System in Heavy Vehicle by Ma Hongge

“…In order to solve the traditional heavy vehicle braking system braking performance are not stable,installation space limitations,a brake integrated system scheme through arranging electromagnetic brake on the drive axle dynamic input shaft and layout wet brake Inside the integral drive axle is proposed,the mathematical model of integrated brake system is established through the analysis of the layout scheme of device structure and working principle,and through the experimental methods to verify the feasibility of integrated brake system.The results show that the half shaft wet brake torque presents increased trend,at the end of the braking,the brake torque of the brake integrated system is provided solely by the half shaft wet brake,the electromagnetic brake torque first increased and then decreased,the torque at the end of the braking become to zero; the brake integrated system braking torque decreases with the half shaft speed decreases,a certain fluctuation exists during the period; in the braking process of brake integrated system,the wet brake load can be significantly reduced and the oil temperature can be controlled in a suitable range.…”
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