Modelling random antibody adsorption and immunoassay activity by D. Mackey, E. Kelly, R. Nooney

“…In this paper we propose a simple mathematical model, based on the theoryknown as random sequential adsorption (RSA), in order tocalculate how the concentration ofcorrectly oriented antibodies (active site exposed forsubsequent reactions) evolves during the deposition process.It has been suggested by experimental studies that high concentrationswill decrease assay performance, due to molecule denaturation andobstruction of active binding sites. …”
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An Improved Genetic-Shuffled Frog-Leaping Algorithm for Permutation Flowshop Scheduling by Peiliang Wu, Qingyu Yang, Wenbai Chen, Bingyi Mao, Hongnian Yu

“…To evolve the frogs with the same optimal fitness more outstanding, the disturbance mechanism is applied to obtain the optimal frog of the whole group at the initialization step and the optimal frog of the subgroup at the searching step. The mathematical model of PFSSP is established with the minimum production cycle (makespan) as the objective function, the fitness of frog is given, and the IGSFLA-based PFSSP is proposed. …”
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Mathematical rules for synergistic, additive, and antagonistic effects of multi-drug combinations and their application in research and development of combinatorial drugs and speci... by Shoujun Yuan, Haoyu Chen

“…As such, it is especially important to derive mathematical models for their quantitative calculation. …”
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Conservation of forest biomass and forest–dependent wildlife population: Uncertainty quantification of the model parameters by Ibrahim, M. Fanuel, Silas, Mirau, Damian, Kajunguri, Francis, Moyo

“…In this paper, a non–linear mathematical model to study the conservation of forest and wildlife species that are reliant on forest ecosystem within the framework of human population dynamics and its related activities is developed and analysed. …”
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Conservation of forest biomass and forest–dependent wildlife population: Uncertainty quantification of the model parameters by Fanuel, Ibrahim M., Mirau, Silas, Kajunguri, Damian, Moyo, Francis

“…In this paper, a non–linear mathematical model to study the conservation of forest and wildlife species that are reliant on forest ecosystem within the framework of human population dynamics and its related activities is developed and analysed. …”
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Comparison of Continuous-Time Partial Markov Chain Construction by Heuristic Algorithms for Purpose of Approximate Transient Analysis by Eimutis Valakevičius, Mindaugas Bražėnas, Tomas Ruzgas

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Stress-Strain Relationships of Fiber Reinforced Phosphogypsum under Uniaxial Compression by Li Zhou, Bo Chen, Yong Huang

“…In addition, according to the test data and the characteristics of stress-strain curves, the stress-strain curve of PG specimens was divided into four parts, and a mathematical model was developed to predict the stress-strain curve of PG specimens. …”
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Analysis of Electromagnetic Interference Effect of the Pulse Interference on the Navigation Receiver by Xin Huang, Yuming Wang, Yazhou Chen

“…Aiming at the problem that satellite navigation signals are easily interfered by the radio frequency (RF) pulse signal, the electromagnetic interference effect of RF pulse on the navigation receiver is studied in this paper. A mathematical model of the pulse interference signal is established, and we choose the bit error rate (BER) as an indicator of the quality of the BDS signal. …”
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An Iterative Method for Solving of Coupled Equations for Conductive-Radiative Heat Transfer in Dielectric Layers by Vasyl Chekurin, Yurij Boychuk

“…The mathematical model for describing combined conductive-radiative heat transfer in a dielectric layer, which emits, absorbs, and scatters IR radiation both in its volume and on the boundary, has been considered. …”
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Biodegradable Food Packaging Materials and Prospects of the Fourth Industrial Revolution for Tomato Fruit and Product Handling by S. M. Chisenga, G. N. Tolesa, T. S. Workneh

“…Principal component analysis (PCA), linear discriminant analysis (LDA), and artificial neutral network (ANN) are some of the common mathematical models for data interpretation of sensor systems.…”
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Prediction Model of Cutting Parameters for Turning High Strength Steel Grade-H: Comparative Study of Regression Model versus ANFIS by Adel T. Abbas, Mohanad Alata, Adham E. Ragab, Magdy M. El Rayes, Ehab A. El Danaf

“…In addition, a mathematical model for surface roughness was obtained from the experimental data using a regression analysis method. …”
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Prediction of Soil Moisture-Holding Capacity with Support Vector Machines in Dry Subhumid Tropics by Jacob Kaingo, Siza D. Tumbo, Nganga I. Kihupi, Boniface P. Mbilinyi

“…However, they are hardly sufficient and costly to measure. Mathematical models called pedotransfer functions (PTFs) that use soil physicochemical properties as inputs to estimate soil moisture-holding capacity are an attractive alternative but limited by specificity to pedoenvironments and regression methods. …”
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Modeling and Simulation of a Chemical Vapor Deposition by J. Geiser, M. Arab

“…The contribution of this paper is to derive a multiphysics system of multiple physics problems that includes some assumptions to simplify the complicate process and allows of deriving a computable mathematical model without neglecting the real-life processes. …”
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Measuring. Monitoring. Management. Control by B.V. Chuvykin, I.A. Dolgova, G.V. Milovzorov

“…To solve the problem, the methods of the mathematical apparatus of the theory of integer functions of exponential type, the theory of wavelets or mathematical models in the time domain were used. When applying these methods, the restoration of the distorted amplitude of pulsed information signals depending on the frequency-time properties of the signals is carried out at the stage of digital processing of the measuring signal by solving systems of linear equations. …”

Considerations for Building Climate-based Species Distribution Models by David N. Bucklin, Mathieu Basille, Stephanie S. Romañach, Lauren A. Brandt, Frank J. Mazzotti, James I. Watling

“…Scientists and conservation practitioners use mathematical models to predict the effects of future climate change on wildlife and plan for a biodiverse future. …”
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Presenting a Management Model for a Multiobjective Sustainable Supply Chain in the Cellulosic Industry and Its Implementation by the NSGA-II Meta-Heuristic Algorithm by Meisam Mehri Charvadeh, Shademan Pourmousa, Ajang Tajdini, Abbas Tamjidi, Vahidreza Safdari

“…Therefore, in this research, a multiobjective, multilevel, multiperiod, and multicommodity mathematical model is presented. The proposed model has five levels in the direct direction and three levels in the reverse direction. …”
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Natural Polymer of Iraqi Apricot Tree Gum as a Novel Corrosion Inhibitor for Mild Steel in 1 M HCl Solution by I. M. Alwaan, Fouad Kadhim Mahdi

“…The results of weight loss method showed that the inhibition efficiency (I%) increased with the increase in both the natural polymer concentration and the temperature; therefore, chemical adsorption mechanism was suggested in this system. The different mathematical models of the adsorption isotherms were studied and the results revealed that natural polymer was found to obey Temkin, Langmuir, and Freundlich adsorption isotherm. …”
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Considerations for Building Climate-based Species Distribution Models by David N. Bucklin, Mathieu Basille, Stephanie S. Romañach, Lauren A. Brandt, Frank J. Mazzotti, James I. Watling

“…Scientists and conservation practitioners use mathematical models to predict the effects of future climate change on wildlife and plan for a biodiverse future. …”
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Intelligent analysis of the quality of educational content on statistics of student performance in the learning management system "Scorina" by A. G. Savenko

“…The structure of the developed learning management system "Scorina" and the mechanisms for creating educational content, the learning process, attestation of students and the collection of progress statistics are described. A mathematical model of educational process of learning management system "Scorina", and approach to assessing the knowledge of students are presented.The implementation of functional diagram and the algorithm of the module for the intelligent analysis of the quality of educational content of learning management system "Scorina" is proposed. …”
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Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation by Ahmad Mohammadpanah, Stanley G. Hutton

“…The results show that the mathematical model can predict accurately the flutter instability zones measured in the experimental tests.…”
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