Empirical and Experimental Perspectives on Big Data in Recommendation Systems: A Comprehensive Survey by Kamal Taha, Paul D. Yoo, Chan Yeun, Aya Taha

“…Covering a wide range of algorithms, this taxonomy first categorizes algorithms into four main analysis types: user and item similarity based methods, hybrid and combined approaches, deep learning and algorithmic methods, and mathematical modeling methods, with further subdivisions into sub-categories and techniques. …”
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Age-structured cell population model to study the influence of growth factors on cell cycle dynamics by Frédérique Billy, Jean Clairambault, Franck Delaunay, Céline Feillet, Natalia Robert

“…Our purpose is to analyse, through mathematical modeling, the effects of growth factors on the dynamics of the division cycle in cell populations.…”
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Bayesian Probabilistic Framework for Damage Identification of Steel Truss Bridges under Joint Uncertainties by Wei Zheng, Yi Yu

“…The former could lead to model uncertainties due to the discrepancy between physical configurations and their mathematical models, while the latter could induce model parameter uncertainties due to difficulty in obtaining accurate model parameters of complex joint details. …”
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Solving linear Fredholm-Stieltjes integral equations of the second kind by using the generalized Simpson’s rule by A. Asanov, S. Yanık

“…Integral equations are used as mathematical models for many and varied physical situations and they also occur as reformulations of other mathematical problems [7]. …”
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Laws of Gas Diffusion in Coal Particles: A Study Based on Experiment and Numerical Simulation by Yongjiang Hao, Xiaofeng Ji, Jiewen Pang

“…Then, according to Fick diffusion law and Darcy percolation law, the mathematical models of methane emission from the spherical coal particles were created, respectively, and the corresponding calculating software was programmed by the finite difference method to obtain the simulated CMDQ of each sample under different conditions. …”
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Gas-Water Flow Behavior in Water-Bearing Tight Gas Reservoirs by Renyi Cao, Liyou Ye, Qihong Lei, Xinhua Chen, Y. Zee Ma, Xiao Huang

“…Based on the experimental results, this paper presents mathematical models to describe flow behaviors of gas and water in tight gas formations; the threshold pressure gradient, stress sensitivity, and relative permeability are all considered in our models. …”
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Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics by Karen R. Ríos-Soto, Baojun Song, Carlos Castillo-Chavez

“…Simplified versions of mathematical models involving a limited number of migratory and resident bird populations are analyzed. …”
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Numerical Simulation of Flooding Process on Downstream Structure by Three-dimensional Dam-break Wave by YU Ruixing, LIN Qin, HE Shiming, ZHENG Yipeng, ZHENG Kaiyuan

“…While a quantitative forecast of the flow velocity and impact load during the dam-break flood is carried out, the reliability of the mathematical models in dealing with the fluid-structure interaction of water disasters is demonstrated by real-life cases and published data comparison. …”
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Decoupling microbial iron reduction from anoxic microsite formation in oxic sediments: a microscale investigation through microfluidic models by Giulia Ceriotti, Alice Bosco-Santos, Sergey M. Borisov, Jasmine S. Berg

“…Moreover, our mathematical modeling of oxygen dynamics around biomass-rich layers revealed that the onset of anoxia is mainly controlled by biomass spatial organization rather than the conventionally used water saturation index. …”
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Understanding pectin cross-linking in plant cell walls by Irabonosi Obomighie, Iain J. Prentice, Peter Lewin-Jones, Fabienne Bachtiger, Nathan Ramsay, Chieko Kishi-Itakura, Martin W. Goldberg, Tim J. Hawkins, James E. Sprittles, Heather Knight, Gabriele C. Sosso

“…This study employs a multidisciplinary approach, combining molecular dynamics simulations, experimental investigations, and mathematical modelling, to elucidate the mechanism of pectin cross-linking and its effect on cell wall porosity. …”
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Results of novel theoretical approaches show a possible underestimation of building materials contribution to indoor radon levels by Maiorana Andrea, Di Carlo Christian, Ampollini Marco, Antignani Sara, Caprio Mario, Carpentieri Carmela, Bochicchio Francesco

“…Abstract The mathematical modelling represents one of the main possibilities to assess the radon gas coming out from building structures in a dwelling, especially in preventive strategies. …”
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Increasing survival time decreases the cost-effectiveness of using "test & treat to eliminate HIV epidemics by Bradley G. Wagner, Brian J. Coburn, Sally Blower

“…., universal ``test & treat'') could lead to HIV elimination and would be extremely cost-effective.It is now being debated whether to use a universal ``test and treat'' approach in the ``real-world'' as a prevention strategy to control HIV epidemics.However current modeling predictions of the impact, and cost-effectiveness, of universal ``test & treat'' strategies are based on an unrealistically short survival time for treated individuals.Here we use mathematical modeling and a longer, more realistic, survival time.We model the potential impact of a universal ``test & treat'' strategy in South Africa.Our results show that increasing the length of the survival time on treatment, although beneficial to individuals, reduces the probability of eliminating HIV and decreases the cost-effectiveness of using universal ``test & treat'' strategies.Therefore our results show that individual-level benefits and public health benefits will conflict when using ``test & treat'' strategies to reduce HIV transmission.…”
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Technical and economic efficiency of the unconventional propulsion units use for civilian aircraft of various purposes by A. R. Polyakov, O. A. Smolyakov, E. A. Ozdoeva, A. M. Neklyudova, V. S. Zakharchenko, А. N. Varyukhin

“…The role of accounting and management accounting data in economic and mathematical models is determined, which makes it possible to qualitatively reflect the economic efficiency of the life cycle of aviation products.…”
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Nonlinearity modeling for online estimation of industrial cooling fan speed subject to model uncertainties and state-dependent measurement noise by Peng Chao-Chung, Tsai Min-Che, Chen Tsai-Ying

“…To address these issues, this study employs the unscented Kalman filter (UKF) algorithm, incorporating state-dependent noise modeling and mathematical modeling of parameter uncertainties. An UKF-based parameter update mechanism is developed to compensate for model uncertainties and estimation errors, improving the speed estimation accuracy. …”
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A systematic review to identify research gaps in studies modeling MenB vaccinations against Neisseria infections. by Soeren Metelmann, Alexander Thompson, Anna Donten, Segun Oke, Suzy Sun, Ray Borrow, Feng Xu, Roberto Vivancos, Valerie Decraene, Lorenzo Pellis, Ian Hall

“…The genus Neisseria includes two major human pathogens: N. meningitidis causing bacterial meningitis/septicemia and N. gonorrhoeae causing gonorrhoea. Mathematical models have been used to simulate their transmission and control strategies, and the recent observation of a meningococcal B (MenB) vaccine being partially effective against gonorrhoea has led to an increased modeling interest. …”
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The Union between Structural and Practical Identifiability Makes Strength in Reducing Oncological Model Complexity: A Case Study by Maria Pia Saccomani, Karl Thomaseth

“…Mathematical models are increasingly proposed to describe tumor’s dynamic response to treatments with the aims of improving their efficacy. …”
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Analysis of the influence of surface deformation on the stability of overhead transmission lines and countermeasures by Xiaokai Meng, Siqing Xu, Fan Hu, Shuai Wang, Zhumao Lu

“…These effects include redistribution of conductor tension and deviation of insulator strings. Through mathematical models and engineering approximations, the specific effects of tower foundation settlement and horizontal displacement along the line direction on the operating conditions of various levels of overhead lines were analyzed in detail. …”
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Mathematical analysis and modeling of DNA segregation mechanisms by Bashar Ibrahim

“…In this study, bistable mathematical models for both activation and silencing of mitotic checkpoints were constructed and analyzed. …”
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A Multilayer Feed Forward Small-World Neural Network Controller and Its Application on Electrohydraulic Actuation System by Xiaohu Li, Feng Xu, Jinhua Zhang, Sunan Wang

“…Being difficult to attain the precise mathematical models, traditional control methods such as proportional integral (PI) and proportional integral differentiation (PID) cannot meet the demands for real time and robustness when applied in some nonlinear systems. …”
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Predictive Modeling of Tool Life in Turning Using ANN-Taguchi Hybridization by Shrishail Sollapur B., Shubham R. Suryawanshi, Mitali Mhatre S., Dipak K. Dond, Ganesh Chate, Abhijit Bhowmik

“…There are established mathematical models for estimating the tool’s lifespan, particularly for CBN tools when performing turning operations. …”
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