Mathematical analysis and numerical simulation of a model of morphogenesis by Ana I. Muñoz, José Ignacio Tello

“…We consider a simple mathematical model of distribution of morphogens (signaling molecules responsible for the differentiation of cells and the creation of tissue patterns). …”
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Wind Shear Target Echo Modeling and Simulation by Xiaoyang Liu, Chao Liu, Wanping Liu

“…In order to analyze the influence of wind shear on the efficiency of the airplane, this paper proposes a mathematical model of point target rain echo and weather target signal echo based on Doppler effect. …”
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Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure by R.R. Aguiar, H.I. Weber

“…Experimental data are used to validate the mathematical model. The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. …”
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Estimation level of public welfare on the basis of methods of intellectual analysis by S. Kozlovskyi, L. Nikolenko, O. Peresada, O. Pokhyliuk, O. Yatchuk, N. Bolgarova, O. Kulhanik

“…The aim of the work is to develop the mathematical model for measuring the welfare of Ukraine using methods of intellectual analysis, namely, the theory of fuzzy sets. …”
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Investigation of Heat and Mass Transfer in the Process of Fuel Preparation from Biomass Particles with High Moisture by A. V. Mitrofanov, O. B. Kolibaba, R. N. Gabitov, D. A. Dolinin, S. V. Vasilevich

“…In the course of the study, the following tasks were solved: a numerical method was developed for describing the processes of internal and external heat and mass transfer problems using an explicit difference approximation of differential equations of heat and mass transfer; parametric identification of the proposed one-dimensional mathematical model was performed using empirical dependencies known from literature sources; empirical verification of the proposed mathematical model was carried out by comparing the calculated forecasts obtained with the results of their own field experiments. …”
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Generation of address sequences with specified switching activity and address repeatability by V. N. Yarmolik, N. A. Shevchenko, V. А. Levantsevich, D. V. Demenkovets

“…Presented results are based on a universal method for generating quasi-random Sobol sequences, which are effectively used to generate targeted test sequences. As an initial mathematical model, a modification of the indicated generation method proposed by Antonov and Saleev is used. …”
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Multiple Influence Factor Sensitivity Analysis and Height Prediction of Water-Conducting Fracture Zone by Xiaobin Li, Quansheng Li, Xuhui Xu, Yongqiang Zhao, Peng Li

“…By introducing sensitivity coefficient, a sensitivity quantification mathematical model was established, and sensitivity ranking was obtained. …”
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Probabilistic Multiple Pedestrian Walking Force Model including Pedestrian Inter- and Intrasubject Variabilities by Zandy O. Muhammad, Paul Reynolds

“…A probabilistic walking load model that accounts for inter- and intrasubject variabilities has been developed to generate synthetic vertical load waveforms induced by pedestrians. The mathematical model is based on a comprehensive database of continuously recorded pedestrian walking forces on an instrumented treadmill, having a wide range of walking frequencies. …”
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Design of Flight Control System for a Novel Tilt-Rotor UAV by Zaibin Chen, Hongguang Jia

“…Then, the detailed nonlinear mathematical model is established, and the parameters are acquired from designed experiments and numerical analyses. …”
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Application of Particle Swarm Optimization Algorithm in the Heating System Planning Problem by Rong-Jiang Ma, Nan-Yang Yu, Jun-Yi Hu

“…The proposed mathematical model minimizes the cost of heating system as the objective for a given life cycle time. …”
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Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives by Sara Salem Alzaid, Badr Saad T. Alkahtani, Shivani Sharma, Ravi Shanker Dubey

“…In this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators. …”
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Decoupling Control Strategy of BLIM considering Rotor Mass Eccentricity by Wenshao Bu, Biao Li, Chunxiao Lu

“…., bearingless induction motor, is a multivariable, nonlinear, and strong coupling object; to achieve its high performance magnetic suspension operation control and overcome the influence of the rotor mass eccentricity, a decoupling control strategy considering the rotor mass eccentricity is proposed. Firstly, the mathematical model of the torque system based on the rotor flux orientation and the mathematical model of the magnetic suspension system based on the air gap flux orientation are presented; on this basis, the inverse system decoupling control method of the BLIM is researched. …”
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Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique by Naveed Ahmad Khan, Muhammad Sulaiman, Jamel Seidu, Fahad Sameer Alshammari

“…In this paper, a mathematical model for the system of prey-predator with immigrant prey has been analyzed to find an approximate solution for immigrant prey population density, local prey population density, and predator population density. …”
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Performance evaluation of underwater vision systems by V.Y. Kolyuchkin, N.M. Kostylev, Y.S. Gulina

“…The methodology is based on a system approach and uses mathematical models of the aqueous medium where an optical signal propagates, the underwater object image registration system, and the mathematical model of the human visual system. …”
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Bionic Optimization Based Stability and Congestion Aware Routing Algorithm for Airborne Highly Dynamic Network by Yunlong Yu, Le Ru, Sheng Mao, Kangning Sun, Qiangqiang Yu, Kun Fang

“…Ant colony optimization algorithm and the mathematical model of Physarum's behavior exert effort in the process of route discovery and maintenance. …”
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An Improved Inverse Kinematics Solution for a Robot Arm Trajectory Using Multiple Adaptive Neuro-Fuzzy Inference Systems by Mohamad Reda A. Refaai

“…This work is being carried out on a 5-DOF articulated robot arm, which is commonly used in industry. A mathematical model is built based on the Denavit-Hartenberg (DH) approach. …”
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Comparative Simulation Study on Synchronous Generators Sudden Short Circuits by Lucian Lupşa-Tătaru

“…The models derivation is carried out without altering the structural equations of the generalized d-q-0 mathematical model of synchronous generators whilst the simulation results are both compared and discussed in detail.…”
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An Improved Harmony Search Algorithm for Power Distribution Network Planning by Wei Sun, Xingyan Chang

“…IHS algorithm is applied to solve the complex optimization mathematical model. The empirical results strongly indicate that IHS algorithm can effectively provide better results for solving the distribution network planning problem compared to other optimization algorithms.…”
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Thermodynamic analysis of expansion process of screw expander in wet steam area by A. M. Kalashnikov, G. I. Chernov, V. L. Yusha

“…During the study of the expansion process in the area of wet steam in a screw expander, a mathematical model of this process is developed. The mathematical model is verified by comparing the results obtained on its basis with the results obtained by other researchers on an identical object. …”
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Presenting a model for solving lot-streaming hybrid flow shop scheduling problem by considering independent setup time and transportation time by Roja Ruhbakhsh, Esmaeil Mehdizadeh, Mohammad Amin Adibi

“…The obtained results show the performance of the mathematical model. Then, two proposed algorithms are used to solve the large-scale problems. …”
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