A hybrid fractional model for cervical cancer due to human papillomavirus infection by Ali Akgül, Nauman Ahmed, Sadiya Ali Rano, Qasem Al-Mdallal

“…In this work, a hybrid fractional order mathematical model of cervical cancer with modified parameters is studied. …”
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Low latency handover scheme for 5G dual-connectivity scenario by Xuming PEI, Jianxin JIA, Hua QIAN, Zhenghang ZHU, Zhenyu TANG, Kai KANG

“…A novel handover scheme was proposed for the secondary node (SN) unchanged 5G dual-connectivity scenarios.In the proposed novel scheme,the SN connection was maintained for data packet transmission during the handover,however,both the main node (MN) and the SN were completely disconnected in the legacy scheme.The transmission delay during handover was decreased greatly by the proposed scheme.Firstly,the legacy handover scheme was analyzed and its deficiency was figured out.Then,the novel mechanism’s signaling interaction was elaborated and the time sequence models for the novel scheme and the legacy scheme were further established.Finally,based on the time sequence model,the performance evaluation processes were carried out in terms of mathematical modeling and experimental simulations.The analysis results demonstrate that the proposed novel scheme reduces the single packet transmission delay,the average transmission delay and the total transmission delay,and has good performance advantages.…”
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Theoretical studies of the steering hydraulic system of construction and road machines with flow amplifiers by A. V. Zhdanov

“…The design, the principle of operation are described, the main calculated dependencies are presented, on the basis of which mathematical modeling was carried out. To evaluate the qualitative and quantitative characteristics of the amplifiers, graphs of transient processes in the steering hydraulic system, as well as the static characteristics of the flow amplifiers, were obtained. …”
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Research on the Overtopping-Induced Breaching Mechanism of Tailings Dam and Its Numerical Simulation by Zhao Deng, Shiqiang Wu, Ziwu Fan, Zhikun Yan, Jingxiu Wu

“…Based on the centrifugal test results, considering the special physical and mechanical properties of tailings, a mathematical model for tailings dam breaching is established. …”
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Study on the Mechanism of Tooth Breakage Fault in Gear Rotor System Under Load Excitation by Haihan Zhang, Fang Ren, Jinhao Feng

“…Because of the time-varying meshing stiffness of gears and the unbalance of the rotor system， the coupling mathematical model of the gear rotor system is established based on the rotor dynamics and Lagrange equation， and the simulation model is established in Matlab/Simulink. …”
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Conservation Law Analysis in Numerical Schema for a Tumor Angiogenesis PDE System by Pasquale De Luca, Livia Marcellino

“…Tumor angiogenesis, the formation of new blood vessels from pre-existing vasculature, is a crucial process in cancer growth and metastasis. Mathematical modeling through partial differential equations helps to understand this complex biological phenomenon. …”
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Pricing of American Carbon Emission Derivatives and Numerical Method under the Mixed Fractional Brownian Motion by Yuling Wang, Jing Wang

“…In conclusion, since mfBm is a well-developed mathematical model of strongly correlated stochastic processes, this model will be an efficient model for pricing carbon financial derivative.…”
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Research on Recognition， Positioning and Grasping of Robotic Arms Based on an Improved ORB Algorithm by Li Xinyan, Zhou Min

“…Firstly, the improved ORB algorithm was used to identify the target, and then the target was positioned according to the binocular stereo vision optical axis parallel model. Then, the mathematical model of the robotic arm was established by using the standard D-H parameter method, and the inverse kinematics was solved. …”
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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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Urban Land Value Estimation Model based on Income Capitalization Method by Sugito Nanin Trianawati, Affriani Asri Ria, Ramadhani Anisa Nabila Rizki

“…This research employs geostatistical analysis to model land values. The mathematical model developed through geostatistical analysis aims to represent actual land values accurately and facilitate the establishment of land value zones.…”
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Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation by Rami Raad Saadi, Hassan F. Al-Husseiny

“… In this work, we formulate a mathematical model of the killer COVID-19 pandemic with time delay and some governmental measures that include vaccine subsidies to understand the dynamic behavior of COVID-19. …”
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Complexity Analysis of a Mixed Memristive Chaotic Circuit by Xiaolin Ye, Jun Mou, Chunfeng Luo, Feifei Yang, Yinghong Cao

“…In this paper, we design a chaotic circuit with memristors, which consists of two flux-controlled memristors and a charge-controlled memristor, and the dimensionless mathematical model of the circuit was established. Using the conventional dynamic analysis methods, the equilibrium point set and stability of the chaotic system were analyzed, and the distribution of stable and unstable regions corresponding to the memristor initial states was determined. …”
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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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Simulation of clinical trials of oral treprostinil in pulmonary arterial hypertension using a virtual population by Andrew E. Stine, Jignesh Parmar, Amy K. Smith, Zachary Cummins, Narasimha Rao Pillalamarri, R. Joseph Bender

“…Abstract Challenges in drug development for rare diseases such as pulmonary arterial hypertension can be addressed through the use of mathematical modeling. In this study, a quantitative systems pharmacology model of pulmonary arterial hypertension pathophysiology and pharmacology was used to predict changes in pulmonary vascular resistance and six-minute walk distance in the context of oral treprostinil clinical studies. …”
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Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses by Kankan Sarkar, Subhas Khajanchi, Prakash Chandra Mali, Juan J. Nieto

“…In this study, we investigate a mathematical model that describes the interactive dynamics of a predator-prey system with different kinds of response function. …”
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LIGHTWEIGHT DESIGN OF A SMALL FAMILY CAR DISC BRAKE BASED ON ANSYS (MT) by WANG SuoGuo, SHEN JingHu, SHI Le

“…Aiming at the lightweight design of the disc brake for small family cars, the finite element analysis and multi-objective optimization of the disc brake were carried out.Through the sensitivity analysis, the contribution degree of each size parameter of the brake disc to the braking performance and quality was established, and the optimization variables were quickly selected.Taking the lightest weight of the brake disc, the lowest surface temperature of the brake disc and the minimum maximum equivalent stress as the objective function, a multi-objective optimization mathematical model was established. NSGA-II hybrid variant algorithm based on the control elite strategy in Ansys was used to optimize the brake disc. …”
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The analysis of energy efficiency of LNG filling pipeline from choice of thermal insulation structure by A. M. Andreev, A. Yu. Baranov, E. V. Sokolova, T. A. Malysheva, L. V. Ivanov

“…The article presents the numerical analysis of the energy efficiency for one of the stages of large-scale LNG production, namely, the LNG delivery from a storage tank to a LNG carrier vessel via a cryogenic pipeline. The mathematical model of the thermal enclosure of the pipeline has been considered, and the production cryoproduct losses due to thermal inertia of pipeline materials have been estimated. …”
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Modeling MAC Protocol Based on Frame Slotted Aloha for Low Energy Critical Infrastructure Sensor Networks by Niamat Ullah, Kifayat Ullah, S. M. Riazul Islam, Pervaiz Khan, Sana Ullah, Kyung Sup Kwak

“…As the packet drop probability plays crucial role in LECIM applications, we propose framed slotted aloha based MAC for LECIM using linearly increased contention window size to reduce the packet drop probability. We present a mathematical model of our proposed MAC under both saturated and nonsaturated traffic scenarios. …”
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A Model for In-Plane Capacity of Multi-Leaf Stone Masonry Walls by Jagat Kumar Shrestha, Sujit Bhandari

“…As a result, a mathematical model between the capacity of a multi-leaf stone masonry wall and physical and mechanical properties is established.…”
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Optimum Design of Transmission Efficiency of Torus Envelope Arc Cylindrical Worm Pair by Qu Dongyue, Zhang Chunyu, Xu Jian’an, Zhang Rilai

“…Based on the gear meshing principle and the meshing theoretical mathematical model of torus enveloping circular arc worm pair（ ZC1）,the changing trend of momentary contact line of worm pair is obtained. …”
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