The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste by Stanley Chibuzor Onwubu, Phumlane Selby Mdluli, Shenuka Singh, Obiora Cornelius Collins

“…Objectives. A mathematical model making using of the Verhulst logistic equation was developed to predict the remineralization behaviors of desensitizing paste. …”
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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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Prediction and design optimization of mechanical properties for rubber fertilizer hose reinforced with helically wrapped nylon by Mengfan Wang, Lixin Zhang, Changxin Fu

“…First, a finite element simulation model and a mathematical model were established to analyze the influence of fiber layer arrangement on the maximum shear strain on the coaxial surface (MSS) and the reaction force on the extrusion roller (RF). …”
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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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Research on a New Control System Based on L1 Adaptive Control Scheme for the Voice Coil Motor by Huaiguo Jing, Ying Li, Bo Li, Shuo Huang, RuiDian Zhan, Hao Li, Xuexi Zhang

“…First, it briefly analyzes the working principle and control method of the voice coil motor, and then constructs the uncertain parameter model according to the mathematical model of the voice coil motor. The closed-loop system of voice coil motor is simulated and analyzed by L1 adaptive controller. …”
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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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Modelling transmission and control of Toxoplasma gondii in New Zealand farmland by Rachelle N. Binny, Graham J. Hickling, Alex James, Chris N. Niebuhr

“…Predator control of rodents and feral cats has potential to reduce or even eliminate transmission of T. gondii on farms; however, the efficacy of such management is uncertain. We apply a mathematical model of T. gondii transmission dynamics in feral cat and rodent populations in New Zealand farmland and simulate varying intensities of predator control to predict changes in T. gondii prevalence and environmental contamination levels over time. …”
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Modeling and Analysis of Fasciola Hepatica Disease Transmission by Dagnaw Tantie Yihunie, Joseph Y. T. Mugisha, Dawit Melese Gebru, Haileyesus Tessema Alemneh

“…In this paper, a mathematical model for the transmission dynamics of Fasciola hepatica in cattle and snail populations is formulated and analyzed. …”
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In the Search of Fundamental Inner Bond Strength of Solid Elements by Maziar Sahba Yaghmaee, Reza Riahifar

“…Therefore, in order to study the effect of the nature of metallic bond on their physico-chemical properties, we first tried to investigate and introduce a mathematical model for transforming the bulk molar cohesion energy into microscopic bond strengths between atoms. …”
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FPGA Implementation of Reconfigurable Finite State Machine with Input Multiplexing Architecture Using Hungarian Method by Nitish Das, P. Aruna Priya

“…The mathematical model for designing a complex digital system is a finite state machine (FSM). …”
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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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Determine the Inflow Performance Relationship of Water Producing Gas Well Using Multiobjective Optimization Method by Xiao-Hua Tan, Jian-Yi Liu, Jia-Hui Zhao, Xiao-Ping Li, Guang-Dong Zhang, Chuan Tang, Li Li

“…Based on the basic theory of fluid mechanics in porous medium, using the principle of mass conservation, and considering the process of dissolution and volatilization of gas and water formation, this paper establishes a new mathematical model of gas-water two-phase flow. Multiobjective optimization method is used to automatically match the sample well production data in water drive gas reservoirs and then we can achieve the sample well’s productivity equation, relative permeability curve, water influx intensity, and single well controlled reserves. …”
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An Integrated Model for Production Planning and Cell Formation in Cellular Manufacturing Systems by Reza Raminfar, Norzima Zulkifli, Mohammadreza Vasili, Tang Sai Hong

“…In this paper, a mathematical model is developed using an integrated approach for production planning and cell formation problems in a CM. …”
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Differential impact of sickle cell trait on symptomatic and asymptomatic malaria by Eunha Shim, Zhilan Feng, Carlos Castillo-Chavez

“…To examine the differential impact of the sickle cell trait on symptomatic and asymptomatic malaria, we developed a mathematical model of malaria transmission that incorporates the evolutionary dynamics of $S$-gene frequency. …”
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Procedure of Active Residual Heat Removal after Emergency Shutdown of High-Temperature-Gas-Cooled Reactor by Xingtuan Yang, Yanfei Sun, Huaiming Ju, Shengyao Jiang

“…Transient analysis was carried out based on a one-dimensional mathematical model for steam generator and steam pipe of start-up loop to achieve safety and reliability. …”
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Analysis of transient characteristics and fault ride-through control of hybrid grid-tied converters with grid-following and grid-forming by Baoyu Zhai, Shuchao Liang, Zhi Xu, Fengyi Deng, Junru Chen, Haiyang Wu

“…If one of the converters experiences stability issues, it affects the other, making fault ride-through challenging. A mathematical model for the hybrid grid-connected system of the two converters is first established to analyze the existence conditions of the equilibrium point. …”
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Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors by David Marcos-Andrade, Francisco Beltran-Carbajal, Alexis Castelan-Perez, Ivan Rivas-Cambero, Jesús C. Hernández

“…In utilizing the mathematical model of a BLDC motor, a set of equations is derived to enable parameter estimation, assuming the availability of input and output measurements in open loop. …”
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Optimizing cut order planning: A comparative study of heuristics, metaheuristics, and MILP algorithms by Sharif Al-Mahmud, Jose Alejandro Cano, Emiro Antonio Campo, Stephan Weyers

“…The first approach uses conventional metaheuristic algorithms, while the second transforms the nonlinear COP mathematical model into a Mixed Integer Linear Programming (MILP) problem and uses commercial solvers for solution. …”
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First true blood pressure measurement with micropulse detection of arterial opening achieved by Alan Murray, Dingchang Zheng, Clive J. Griffiths, Chengyu Liu, David J. Graham, Jeff Neasham, Adrian J. Cossor

“…Our solution avoids estimates, mathematical modelling, oscillometric algorithms, and inadequate calibration against numerous private clinical data sets. …”
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State Estimation Based on Sigma Point Kalman Filter for Suspension System in Presence of Road Excitation Influenced by Velocity of the Car by Chi Nguyen Van

“…This paper presents the method using the sigma point Kalman filter to estimate the suspension system’s states including the road excitation, the deflections, and the velocities of the sprung mass and unsprung mass. The mathematical model of the suspension system is rewritten for the state estimation problem, and the stochastic load profile is supposed the main noise input. …”
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