Application of evolutionary games to modeling carcinogenesis by Andrzej Swierniak, Michal Krzeslak

“…We review a quite large volume of literature concerning mathematical modelling of processes related to carcinogenesis and the growth of cancer cell populations based on the theory of evolutionary games. …”
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Biosensor response to multi-component mixtures statistical analysis and forecasting by Romas Baronas, Sigitas Būda, Feliksas Ivanauskas, Pranas Vaitkus

“…The main task is to build a mathematical model for estimation the concentration of each mixture component from the biosensor response data. …”
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The task of prognostication main indicators of air company by D. Yu. Potapova

“…A statistical and mathematical model has been developed and allows us to make a prognosis of the main indicators of the airline’s activity. …”
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Research of the Dynamic Characteristic of the Front End Accessory Drive System of Automobile Engine Considering OAP by Wang Erhua, Wu Bo, Hu Youmin, Yang Shuzi

“…The dynamic characteristics of the front end accessory drive（ FEAD） system of automobile engine can affect the noise,vibration and harshness,and the safety,comfort of automobile directly. A mathematical model of nonlinear rotational vibration of FEAD system with an overrunning alternator pulley（ OAP） is established. …”
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Effective Utilization of Data for Predicting COVID-19 Dynamics: An Exploration through Machine Learning Models by Dmytro Chumachenko, Tetiana Dudkina, Sergiy Yakovlev, Tetyana Chumachenko

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Study on Lightweight of Gearbox Shell for a Heavy Commercial Vehicle by Hu Li, Tang Senquan, Yang Qiliang, Wang Bo

“…In order to achieve a heavy commercial vehicle gearbox lightweight，the gray cast iron shell is replaced by aluminum alloy shell.Firstly，the finite element model is verified by modal test.Then the dynamic loads of the five bearings of the shell are obtained by the method of multi-body dynamics，and the strain energy of the shell is obtained based on the static analysis.Then，the mathematical model of four influencing factors on the mass of plate and shell is established to determine the order of the influence of each influencing factor on the mass of plate and shell.The results show that the strength and stiffness of the lightweight shell meet the requirements.…”
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SIMULATION MODELS OF HEAVY TRUCKS TRAFFIC CONTROL WITH ELECTRIC DC DRIVE by N. N. Hurski, M Najjari

“…Traffic management controller provides a closed classical scheme with feedback. The mathematical model of the electric DC motor with the energy dissipation in the rotor bearings. …”
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Research of Arc Segment Metal Block Contact Character of Metal Belt Continuously Variable Transmission by Zhang Wu, Guo Wei, Zhang Wugang, Xing Le, Zhou Xuegang

“…Taking the contact characteristic of the arc segment metal block with metal belt type continuously variable transmission as study object,the mathematical model and finite element model are established.The results show that the numerical solution of the stress and deformation is basically the same as that of the analytical solution,but the numerical value is higher,the reason is that the contact area of the metal block is reduced. …”
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Lightweight Design of Formula Racing Sprocket based on Topology Optimization Method by Jixiong Li, Jianliang Tan, Guojie Mai

“…Abstract In order to obtain lightweight formula racing sprocket， the topological optimization method is introduced into the design of sprocket structure， the mathematical model of lightweight optimization design is constructed， and the geometric model of initial sprocket design is optimized by reducing the weight three times， and the sprocket with 49.59% mass reduction is obtained. …”
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New chaos-particle swarm optimization algorithm by Xiao-bo XU, Kang-feng ZHENG, Dan LI, Bin WU, Yi-xian YANG

“…The original particle swarm optimization (PSO)algorithm has the advantages of fast convergence,but with the shortcoming of premature and local convergence.To overcome this problem,a new chaos-particle swarm optimization algorithm was presented,which was different from the conventional method of replacing pre-particle.Instead,the algorithm in this paper made the motion of particles with characteristics of chaos，so as to make particles move between the state of chaos and stable,and gradually close to the optimal value.The nonlinear dynamics of the proposed Mathematical model are analyzed,and the results of the experiment show that the proposed algorithm can result in encouraging results.…”
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Sensitivity Analysis of a Physiochemical Interaction Model Undergoing Changes in the Initial Condition and Duration of Experiment Time by EN Ekaka-a, EO Chukwuocha, NM Nafo

“…The mathematical modelling of physiochemical interactions in the framework of industrial and environmental physics usually relies on an initial value problem which is described by a single first order ordinary differential equation. …”
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Torsional Vibrations at Guide-Vane Shaft of Pump–Turbine Model by Andrej Predin

“…Experimentally determined flow velocities at the impeller exit are given. The mathematical models for theoretical torsional vibration prediction formulated using linear and nonlinear differential equations are presented. …”
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Modeling Residence Time Distribution (RTD) Behavior in a Packed-Bed Electrochemical Reactor (PBER) by Sananth H. Menon, G. Madhu, Jojo Mathew

“…Finally, a suitable mathematical model (Modified Dispersed Plug Flow Model (MDPFM)) was developed for validating these results under electrolyzing conditions.…”
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An example from the world of tsetse flies by John Hargrove

“…More serious objections arise when mathematical models make no attempt to address the real world in such a way that they can be tested. …”
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Research of the Parameter Comprehensive Optimization of Excavator Working Device based on the Hybrid Optimization Algorithm by Zhang Xian, Liu Baixi, Qu Tao

“…In order to optimize the performance of excavator in the specific region,The mathematical model of optimization design is obtained constrained by operating performance and mechanical property of the working device. …”
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Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate by A. M. Abd El-Latief

“…The fractional mathematical model of Maxwell’s equations in an electromagnetic field and the fractional generalized thermoelastic theory associated with two relaxation times are applied to a 1D problem for a thick plate. …”
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On modeling problem of optimizing the environmental performance of ship power plant with reciprocating thermal engines as complex technical systems, taking into account operating c... by V. R. Vedruchenko, A. V. Shtib, I. I. Malakhov

“…On modeling the problem of optimizing the environmental performance of a ship power plant with reciprocating thermal engines as complex technical systems, taking into account operating costs and risk indices when operating on multi-grade fuels. A mathematical model of the problem of optimizing the environmental performance indicators of technical complex systems is presented based on the criterion of minimum total costs. …”
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Educational process improvement of oil and gas complex specialists training by Irina V. Vereshchagina, Svetlana A. Gulina

“…In this article problems of thermodynamic calculation of the driving gas-turbine engines working at natural gas are considered. The mathematical model of the accounting of heatphysical parameters of products of combustion of fuel gas is created, the algorithm of thermodynamic calculation with the exact accounting of change of heatphysical parameters of a working body for any composition of fuel gas is offered. …”
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Research of CNC Gear Hobbing Automatic Programming Technology by Diao Xiuhui, Li Jinbo

“…In order to improve the efficiency of gearprocessing,a kind of CNC hobbing automatic programming system is presented. Firstly,the mathematical model of the hober- axial roll cut method is established.Then,the hober hardware platform of CNC gear hobbing automatic programming system is established,the several functional modules and the software page set are designed. …”
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Neural Sliding Mode Adaptive PD Tracking Control of Omnidirectional Mobile Robots by Zhang Kaiwen, Li Guoli, Xu Jiazi, Wang Qunjing, Wen Yan

“…A proportional plus derivative (PD) adaptive tracking control strategy based on neural sliding mode is proposed for the interference of unknown factors in the mathematical model of four-wheel omnidirectional robots. …”
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