Sensitivity of signaling pathway dynamics to plasmid transfection and its consequences by Jaroslaw Smieja, Marzena Dolbniak

“…In order to illustrate this, an original mathematical model of miRNA-mediated control of gene expression in the NF$\kappa$B pathway is presented. …”
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The replicability of oncolytic virus: Defining conditions in tumor virotherapy by Jianjun Paul Tian

“…This article analyzes a basic mathematical model that includes burst size for oncolyticvirotherapy. …”
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Multi-constraints QoS routing optimization based on improved immune clonal shuffled frog leaping algorithm by Yi LU, Mengying XU, Jie ZHOU

“…Aiming at the multi-constraint routing problem,a mathematical model was designed,and an improved immune clonal shuffled frog leaping algorithm (IICSFLA) was proposed,which combined immune operator with traditional SFLA.Under the constraints of bandwidth,delay,packet loss rate,delay jitter and energy cost,total energy cost from the source node to the terminal node was computed.The proposed algorithm was used to find an optimal route with minimum energy cost.In the simulation,the performance of IICSFLA with adaptive genetic algorithm and adaptive ant colony optimization algorithm was compared.Experimental results show that IICSFLA solves the problem of multi-constraints QoS unicast routing optimization.The proposed algorithm avoids local optimum and effectively reduces energy loss of data on the transmission path in comparison with adaptive genetic algorithm and adaptive ant colony optimization algorithm.…”
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EFFICIENCY OF TRAMP FLEET OPERATING UNDER THE CONTRACTS OF AFFREIGHTMENT by Yuliia KOSKINA, Svitlana ONYSHENKO, Oleksii DROZHZHYN, Oleksii MELNYK

“…This paper presents the mathematical model, based on the fleet and volumes of carriages under a set of contracts of affreightment during the due time. …”
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Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model by A. Harir, S. Melliani, H. El Harfi, L. S. Chadli

“…The aim of the present study is to analyze and find a solution for the model of nonlinear ordinary differential equations (ODEs) describing the so-called coronavirus (COVID-19), a deadly and most parlous virus. The mathematical model based on four nonlinear ODEs is presented, and the corresponding numerical results are studied by applying the variational iteration method (VIM) and differential transformation method (DTM).…”
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Study on a New Type of Lelord Triangle Pump by Chen Wenjie, Zou Min, Zhu Hailin, Wang Zhiyang

“…Besides,the pump combined with the characteristics of gear pump and propeller. The mathematical model of lelord triangle is established. The analysis of the motion position of the lelord rotor is carried out,and the displacement and instantaneous flow rate of the internal cavity of the three rotors are calculated. …”
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Tooth Contact Analysis and Experimental Verification of Oerlikon Cycloidal Hypoid Gear by Du Jinfu, Fang Zongde, Yue Guiping, Gao Hongbiao, Zhao Guorui

“…A mathematical model is established for the whole tooth surface generation of the Oerlikon cycloidal hypoid gear,which includes the work flank and the tooth base surfaces,based on it,the tooth 3D model is obtained. …”
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DYNAMIC CHARACTERISTICS ANALYSIS OF SPHERICAL HYBRID SLIDING BEARINGS by JI DongSheng, SHEN JingFeng, CHEN YuFei, ZHOU YiHao

“…Taking spherical hybrid sliding bearings as the research object, established the mathematical model of lubrication analysis of spherical sliding bearings, the dynamic liquid lubrication equation under laminar flow was derived by the perturbation method, the partial differential equation of disturbance pressure was solved by the finite difference method, and the liquid was calculated numerically. …”
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Investigation of a spatial double pendulum: an engineering approach by S. Bendersky, B. Sandler

“…Movement equations (i.e., mathematical model) were derived for this SDP, and oscillations of the system were computed and compared with experimental results. …”
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The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects by Steady Mushayabasa

“…We propose and analyze a mathematical model for alcohol drinking problem. The transmission process is modeled as a social “contact” process between “heavy” alcohol drinkers and “light” alcohol drinkers within an unchanging shared drinking environment. …”
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A reaction-diffusion system modeling the spread of resistance to an antimalarial drug by Nicolas Bacaër, Cheikh Sokhna

“…A mathematical model representing the diffusion of resistance toan antimalarial drug is developed. …”
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EQUIVALENT CIRCUIT SIMULATION OF TWO-DEGREE OF FREEDOM VIBRO-IMPACT SYSTEM WITH GAP by LIU RuiJia, WANG Zheng, LUO Fan

“…Taking the two-degree of freedom vibro-impact system with gap as the research object, the mathematical model was established and the numerical simulation analysis was carried out in Matlab software. …”
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Research of the Coupled Torsional Stiffness of Cycloid Ball Planetary Transmission by An Zijun, Yang Ronggang, Xu Hewei

“…The model of force analysis and mathematical model are established,the expression of elastic rotation angle parameter is obtained. …”
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Kinematics Analysis and Simulation of Line-driven Hedge Trimming Manipulator by Xue Zan, Luo Tianhong, Chen Cai

“…The forward kinematics mathematical model of 10-DOF manipulator is analyzed based on D-H parameter method. …”
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Research of the Special Processing Equipment Development and Trial Production of Roller Enveloping End Face Engagement Worm Pair by Kai Wang

“…According to the transmission principle and mathematical model of the roller envelope end face meshing worm drive， the conjugate relationship of the roller envelope end face meshing worm is analyzed， and the design scheme of the roller envelope end face meshing worm special processing equipment is proposed， and the special processing equipment is developed and carried out. …”
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Influence of wind disturbances and nonlinearities of servo drive on the contour of stabilization of the flight of height of unmanned aerial vehicle by V. A. Malkin, I. V. Rozhkov, A. A. San’ko

“…The article discusses a mathematical model of wind, taking into account its stochastic component and wind of a steady direction, presents the results of a comparative analysis of the effect of wind parameters on the total wind velocity vector acting on unmanned aerial vehicles (UAV). …”
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Dynamics of a plant-herbivore model with toxin-induced functional response by Ya Li, Z. Feng

“…In thispaper, a mathematical model for plant-herbivore interactionsmediated by toxin-determined functional response is studied. …”
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A surface model of nonlinear, non-steady-state phloem transport by Youcef Mammeri, Damien Sellier

“…Following Thompson and Holbrook[35]'s approach, we develop a mathematical model of coupled water-carbohydrate transport. …”
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Modeling and Simulation of Track Clamp Jacking System based on Bond Graph theory by Chen Suli, Fan Yansong, Wang Wei, Ren Fushen

“…Based on bond graph theory,the mathematical model of track clamp jacking system is established,and the dynamic equation is derived. …”
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Binary mixture convection in a horizontal channel under the Soret effect action by Stepanova Irina

“…The mathematical model describing stationary flow of binary liquid mixture is under consideration. …”
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