Improving the technical and operational characteristics of the railway carriage by Maryna Bulakh

“…It primarily focuses on reducing the weight of the railway carriage by modifying the supporting floor, which improves energy efficiency and performance. Mathematical modeling and strength calculations have demonstrated that the modified supporting floor can significantly reduce maximum equivalent stresses, thereby ensuring the reliability and safety of the structure. …”
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Similarities and differences between working processes of Ranque effect and Hartmann–Sprenger tube by V. I. Kuznetsov, V. V. Makarov, A. Yu. Shander

“…The physical and mathematical models of the processes occurring in the vortex tubes (Ranque effect) and Hartmann–Sprenger tube. …”
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Research on full-field optical coherence tomography by Ning MU, Wan-rong GAO, Zhe-qiang WEI

“…Full-field optical coherence tomography(FFOCT)was used for imaging the interior part of an object.Firstly，the mathematical modeling and performance analysis of the FFOCT system mounted was provided.Secondly，images of several different human tissues were obtained by FFOCT system，including esophagus，uterus，etc.The images of different depths of the same tissue were shown and compared.It was the first time in China that FFOCT was used for generating depth images on human esophagus and uterus;high-resolution images had been obtained for different depths without cutting the tissue sample，in which intercellular substance and myofibril structure could be clearly identified.As the in-depth structure could be imaged without the process needed for frozen and paraffin sectioning methods，the technology could been highly valuable for early cancer diagnosis and pathological analysis in tumor research.…”
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Questions from the fourth son: A clinician reflects on immunomonitoring, surrogate markers and systems biology by Charles Wiseman, M.D.

“…The development of mathematical models from empirical data may help inform the clinician/scientist about underlying mechanisms and help frame new testable hypotheses.…”
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Study on the Temperature Field of Wet Brake Contact Interface based on Fractal Theory by Cui Tingqiong, Fan Jianwen, Zhu Enzhou, Guan Jing

“…In order to improve the braking performance and service life of wet brake,taking the wet brake of the dump truck as research object,based on the fractal theory,considering the influence of variable effect of moving heat source and friction heat flow,the mathematic model of wet brake temperature field is established,the 3D solid model of friction pair is established in the CATIA and the emergency braking is simulated by using the finite element analysis software ANSYS,the wet brake temperature field and stress field distribution are studied. …”
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Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship by Ileana Miranda Cabrera, Heyker Lellanis Baños Díaz, María de los Ángeles Martínez

“…The complex relationships of a crop with the pest, its natural enemies, and the climate factors exist in all the ecosystems, but the mathematic models has studied only some components to know the relation cause-effect. …”
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Optimal Covid-19 Control on Effectiveness of Detection Campaign and Treatment by Mouhamadou A. M. T. Baldé, Sidy Ly, Léna Tendeng

“…The COVID-19 pandemic has seen the development of several mathematical models. In recent years, the very topical issue of re-susceptibility has led to the proposal of more complex models to address this issue. …”
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Advancing dental biofilm models: the integral role of pH in predicting S. mutans colonization by Jay S. Sangha, Valentina Gogulancea, Thomas P. Curtis, Nicholas S. Jakubovics, Paul Barrett, Aline Metris, Irina D. Ofiţeru

“…ABSTRACT Mathematical models can provide insights into complex interactions and dynamics within microbial communities to complement and extend experimental laboratory approaches. …”
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Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations by Laksaci Noura, Hasan Fady, Boudaoui Ahmed, Mustafa Zead, Shatanawi Wasfi

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Positivity of Fundamental Matrix and Exponential Stability of Delay Differential System by Alexander Domoshnitsky, Roman Shklyar, Mikhail Gitman, Valery Stolbov

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The influence of the El Niño phenomenon on appearance of large-scale forest fires and their ecological consequences by L. F. Chernogor, A. N. Nekos, G. V. Titenko, L. L. Chornohor

“…The construction of mathematical models made it possible to calculate the concentration and mass of harmful substances emitted during the burning of populated areas caused by forest fires. …”
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Analysis and Synthesis March Memory Tests by V. N. Yarmolik, V. A. Levantsevich, D. V. Demenkovets

“…The paper shows the relevance of testing storage devices in modern computing systems. Mathematical models of memory device faults and the efficiency of their detection, in particular, complex pattern sensitive faults of the PNPSFk type, based on classical march memory tests are presented. …”
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PLL Based Energy Efficient PV System with Fuzzy Logic Based Power Tracker for Smart Grid Applications by G. Rohini, V. Jamuna

“…The PV array is mathematically modeled and the system is simulated and the results are analyzed. …”
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Modeling and prediction of HIV in China: transmission rates structured by infection ages by Yicang Zhou, Yiming Shao, Yuhua Ruan, Jianqing Xu, Zhien Ma, Changlin Mei, Jianhong Wu

“…Here we develop a generalframework of mathematical modeling that takes into account this heterogeneityof transmission rate and permits rigorous estimation of important parametersusing a regression analysis of the twenty-year reported HIV infection data inChina. …”
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Study on the Structural Design and Obstacle Barrier Performance of Double Pendulum Arms Crawler Deformable Robot by Guangyao Meng, Zhenhua Wang, Juxin Huang, Bin Guo, Hongjie Sun

“…The introduction of the rear swing arm enriches the configuration change of the robot, and the center of gravity of the robot has a large degree of adjustment during the rotation of the front and rear swing arms, the obstacle performance of the robot is improved. Mathematical models of typical obstacles such as ramps, steps and gullies are established. …”
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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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Modeling colony collapse disorder in honeybees as a contagion by Christopher M. Kribs-Zaleta, Christopher Mitchell

“…There is still no consensus on what causes this phenomenon, called Colony Collapse Disorder, or CCD. Several mathematical models have studied CCD by only focusing on infection dynamics. …”
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FORMALIZATION OF THE PROBLEM OF SELECTION OF AUTOMATED SYSTEM by A. V. Petukhov

“…Qualitative assessment is based on the theory of choice and decision making, which examines the mathematical models of this type of activity. In view of the fact that in the problem under consideration, many alternatives, which are automated systems, are known, it can be related to the choice problem. …”
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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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