The purpose of this work is to identify a Robin coefficient from available measurements on the accessible part of the boundary. After recasting the inverse problem as an optimization problem, we study the issue of identifiability, stability, and identification. For the reconstruction process, two regularized algorithms are designed, and the forward problem is approximated using the discontinuous dual reciprocity method. The accuracy of the proposed approaches is tested in the case of noise–free and noisy data and the findings are very promising and encouraging.
{"title":"Retrieving the Robin coefficient from single Cauchy data in elliptic systems","authors":"A. El Madkouri, A. Ellabib","doi":"10.23939/mmc2022.03.663","DOIUrl":"https://doi.org/10.23939/mmc2022.03.663","url":null,"abstract":"The purpose of this work is to identify a Robin coefficient from available measurements on the accessible part of the boundary. After recasting the inverse problem as an optimization problem, we study the issue of identifiability, stability, and identification. For the reconstruction process, two regularized algorithms are designed, and the forward problem is approximated using the discontinuous dual reciprocity method. The accuracy of the proposed approaches is tested in the case of noise–free and noisy data and the findings are very promising and encouraging.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68767037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Solving the optimal diet problem necessarily involves estimating the daily requirements in positive and negative nutrients. Most approaches proposed in the literature are based on standard nominal estimates, which may cause shortages in some nutrients and overdoses in others. The approach proposed in this paper consists in personalizing these needs based on an intelligent system. In the beginning, we present the needs derived from the recommendations of experts in the field of nutrition in trapezoidal numbers. Based on this model, we generate a vast database. The latter is used to educate a deep learning neural network, the architecture of which we optimize by the fuzzy genetic algorithm method in the way of adopting a customized regulation term. Our system estimates nutrient requirements based only on gender and age. These estimations are integrated into a mathematical model obtained in our previous work. Then we again use the fuzzy genetic algorithm to draw up personalized diets. The proposed system has demonstrated a very high capacity to predict the needs of different individuals and has allowed the drawing up of very high-quality diets.
{"title":"Optimal fuzzy deep daily nutrients requirements representation: Application to optimal Morocco diet problem","authors":"K. E. El Moutaouakil, C. Saliha, B. Hicham","doi":"10.23939/mmc2022.03.607","DOIUrl":"https://doi.org/10.23939/mmc2022.03.607","url":null,"abstract":"Solving the optimal diet problem necessarily involves estimating the daily requirements in positive and negative nutrients. Most approaches proposed in the literature are based on standard nominal estimates, which may cause shortages in some nutrients and overdoses in others. The approach proposed in this paper consists in personalizing these needs based on an intelligent system. In the beginning, we present the needs derived from the recommendations of experts in the field of nutrition in trapezoidal numbers. Based on this model, we generate a vast database. The latter is used to educate a deep learning neural network, the architecture of which we optimize by the fuzzy genetic algorithm method in the way of adopting a customized regulation term. Our system estimates nutrient requirements based only on gender and age. These estimations are integrated into a mathematical model obtained in our previous work. Then we again use the fuzzy genetic algorithm to draw up personalized diets. The proposed system has demonstrated a very high capacity to predict the needs of different individuals and has allowed the drawing up of very high-quality diets.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68767224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Magnetohydrodynamics (MHD) stagnation point flow in a porous medium with velocity slip is investigated in this study. The governing system of partial differential equations is transformed into a set of non-linear ordinary differential equations by using the similarity transformation. Subsequently, the transformed equations are numerically solved by using the shooting method in MAPLE software. The skin friction coefficient and the local Nusselt number are obtained and presented graphically. The effects of the governing parameters including the velocity slip, magnetic and permeability parameters, are examined. It is found that both the skin friction coefficient and the local Nusselt number increase as magnetic and permeability parameters increase.
{"title":"MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip","authors":"N. Japili, H. Rosali, N. Bachok","doi":"10.23939/mmc2022.04.825","DOIUrl":"https://doi.org/10.23939/mmc2022.04.825","url":null,"abstract":"Magnetohydrodynamics (MHD) stagnation point flow in a porous medium with velocity slip is investigated in this study. The governing system of partial differential equations is transformed into a set of non-linear ordinary differential equations by using the similarity transformation. Subsequently, the transformed equations are numerically solved by using the shooting method in MAPLE software. The skin friction coefficient and the local Nusselt number are obtained and presented graphically. The effects of the governing parameters including the velocity slip, magnetic and permeability parameters, are examined. It is found that both the skin friction coefficient and the local Nusselt number increase as magnetic and permeability parameters increase.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68767294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
N. Khashi’ie, N. Wahi, N. Arifin, A. A. Ghani, K. Hamzah
This paper investigates the influence of suction on the flow, heat and mass transfer characteristics over a permeable shrinking sheet immersed in a doubly stratified micropolar fluid. The model which consists of partial differential equations is converted into a set of nonlinear equations using similarity transformations and then solved using the bvp4c solver. Numerical results obtained are presented graphically for the distributions of velocity, angular velocity, temperature and concentration profiles within the boundary layer for various values of the magnetic parameter and wall mass suction parameter. It is visualized that the enhancement of suction parameter will increase the skin friction, heat transfer rate (local Nusselt number) and Sherwood number. It is also found that as the magnetic parameter increase, there is an increment in the skin friction while opposite results are obtained for the local Nusselt number and Sherwood number.
{"title":"Effect of suction on the MHD flow in a doubly-stratified micropolar fluid over a shrinking sheet","authors":"N. Khashi’ie, N. Wahi, N. Arifin, A. A. Ghani, K. Hamzah","doi":"10.23939/mmc2022.01.092","DOIUrl":"https://doi.org/10.23939/mmc2022.01.092","url":null,"abstract":"This paper investigates the influence of suction on the flow, heat and mass transfer characteristics over a permeable shrinking sheet immersed in a doubly stratified micropolar fluid. The model which consists of partial differential equations is converted into a set of nonlinear equations using similarity transformations and then solved using the bvp4c solver. Numerical results obtained are presented graphically for the distributions of velocity, angular velocity, temperature and concentration profiles within the boundary layer for various values of the magnetic parameter and wall mass suction parameter. It is visualized that the enhancement of suction parameter will increase the skin friction, heat transfer rate (local Nusselt number) and Sherwood number. It is also found that as the magnetic parameter increase, there is an increment in the skin friction while opposite results are obtained for the local Nusselt number and Sherwood number.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68765606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Modeling and investigation of thermodynamic characteristics of spatially-finite metallic systems is an essential task of modern nanophysics. We show that the widely used DFT (density functional theory) is less efficient than the QST (quantum-statistical theory) approach.
{"title":"Semi-infinite metallic system: QST versus DFT","authors":"P. Kostrobij, B. Markovych, I. Ryzha","doi":"10.23939/mmc2022.01.178","DOIUrl":"https://doi.org/10.23939/mmc2022.01.178","url":null,"abstract":"Modeling and investigation of thermodynamic characteristics of spatially-finite metallic systems is an essential task of modern nanophysics. We show that the widely used DFT (density functional theory) is less efficient than the QST (quantum-statistical theory) approach.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68765760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Transportation is the means of mobility. Due to the growth in the population, rising traffic on road, delay in the movement of vehicles and traffic chaos could be observed in urban areas. Traffic congestion causes many social and economic problems. Because of the convenience and the quickness, motor-bikes gradually become the main travel mode of urban cities. In this paper, we extend the Lighthill–Whitham–Richards (LWR) traffic flow model equation into the mixed-traffic flow of two entities: car and motor-bike in a unidirectional single-lane road segment. The flow of cars is modeled by the advection equation and the flow of motor-bikes is modeled by the advection-diffusion equation. The model equations for cars and motor-bikes are coupled based on total traffic density on the road section, and they are non-dimensionalized to introduce a non-dimensional number widely known as Péclet number. Explicit finite difference schemes satisfying the CFL conditions are employed to solve the model equations numerically to compute the densities of cars and motor-bikes. The simulation of densities over various time instants is studied and presented graphically. Finally, the average densities of cars and motor-bikes on the road section are calculated for various values of Péclet numbers and mixed-traffic behavior are discussed. It is observed that the mixed-traffic behavior of cars and motor-bikes depends upon the Péclet number. The densities of motor-bikes and cars in the mixed-traffic flow approach the equilibrium state earlier in time for smaller values of Péclet number whereas densities take longer time to approach the equilibrium for the greater values of Péclet number.
{"title":"Mathematical modeling of mixed-traffic in urban areas","authors":"R. K. Pradhan, S. Shrestha, D. Gurung","doi":"10.23939/mmc2022.02.226","DOIUrl":"https://doi.org/10.23939/mmc2022.02.226","url":null,"abstract":"Transportation is the means of mobility. Due to the growth in the population, rising traffic on road, delay in the movement of vehicles and traffic chaos could be observed in urban areas. Traffic congestion causes many social and economic problems. Because of the convenience and the quickness, motor-bikes gradually become the main travel mode of urban cities. In this paper, we extend the Lighthill–Whitham–Richards (LWR) traffic flow model equation into the mixed-traffic flow of two entities: car and motor-bike in a unidirectional single-lane road segment. The flow of cars is modeled by the advection equation and the flow of motor-bikes is modeled by the advection-diffusion equation. The model equations for cars and motor-bikes are coupled based on total traffic density on the road section, and they are non-dimensionalized to introduce a non-dimensional number widely known as Péclet number. Explicit finite difference schemes satisfying the CFL conditions are employed to solve the model equations numerically to compute the densities of cars and motor-bikes. The simulation of densities over various time instants is studied and presented graphically. Finally, the average densities of cars and motor-bikes on the road section are calculated for various values of Péclet numbers and mixed-traffic behavior are discussed. It is observed that the mixed-traffic behavior of cars and motor-bikes depends upon the Péclet number. The densities of motor-bikes and cars in the mixed-traffic flow approach the equilibrium state earlier in time for smaller values of Péclet number whereas densities take longer time to approach the equilibrium for the greater values of Péclet number.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68765779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Khajji, L. Boujallal, M. Elhia, O. Balatif, M. Rachik
In this paper, we propose a new fractional-order model of alcohol drinking involving the Caputo derivative and six groups of individuals. We introduce road accidents and violence related to alcohol consumption as separate classes to highlight the role of alcoholism in the aggressive and risky behaviour of heavy drinkers. We show the existence and uniqueness of the non-negative solutions, and we determine the basic reproduction number R0. The sensitivity analysis of the model parameters is performed to characterize the important parameters that have the most effects on the reproduction number. Furthermore, the stability analysis of the model shows that the system is locally and globally asymptotically stable at drinking-free equilibrium E0 when R0<1, and the drinking present equilibrium E∗ exists. The system is locally and globally asymptotically stable at E∗ when R0>1. Finally, numerical simulations are carried out to illustrate the theoretical results for different values of the order of the fractional derivative.
{"title":"A fractional-order model for drinking alcohol behaviour leading to road accidents and violence","authors":"B. Khajji, L. Boujallal, M. Elhia, O. Balatif, M. Rachik","doi":"10.23939/mmc2022.03.501","DOIUrl":"https://doi.org/10.23939/mmc2022.03.501","url":null,"abstract":"In this paper, we propose a new fractional-order model of alcohol drinking involving the Caputo derivative and six groups of individuals. We introduce road accidents and violence related to alcohol consumption as separate classes to highlight the role of alcoholism in the aggressive and risky behaviour of heavy drinkers. We show the existence and uniqueness of the non-negative solutions, and we determine the basic reproduction number R0. The sensitivity analysis of the model parameters is performed to characterize the important parameters that have the most effects on the reproduction number. Furthermore, the stability analysis of the model shows that the system is locally and globally asymptotically stable at drinking-free equilibrium E0 when R0<1, and the drinking present equilibrium E∗ exists. The system is locally and globally asymptotically stable at E∗ when R0>1. Finally, numerical simulations are carried out to illustrate the theoretical results for different values of the order of the fractional derivative.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68766732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we study the existence of weak solutions for a class of nonlinear parabolic equations with regular data in the setting of variable exponent Sobolev spaces. We prove a "version" of a weak Lebesgue space estimate that goes back to "Lions J. L. Quelques méthodes de résolution des problèmes aux limites. Dunod, Paris (1969)" for parabolic equations with anisotropic constant exponents (pi(⋅)=pi).
本文研究了一类具有正则数据的非线性抛物型方程在变指数Sobolev空间中弱解的存在性。我们证明了一个弱Lebesgue空间估计的“版本”，它可以追溯到“Lions J. L. Quelques msamothodes de racimetmes aux limits”。Dunod, Paris(1969)“具有各向异性常数指数(pi(⋅)=pi)的抛物方程”。
{"title":"Anisotropic parabolic problem with variable exponent and regular data","authors":"Rabah Mecheter","doi":"10.23939/mmc2022.03.519","DOIUrl":"https://doi.org/10.23939/mmc2022.03.519","url":null,"abstract":"In this paper, we study the existence of weak solutions for a class of nonlinear parabolic equations with regular data in the setting of variable exponent Sobolev spaces. We prove a \"version\" of a weak Lebesgue space estimate that goes back to \"Lions J. L. Quelques méthodes de résolution des problèmes aux limites. Dunod, Paris (1969)\" for parabolic equations with anisotropic constant exponents (pi(⋅)=pi).","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68766812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We have suggested the method of application of a direct solving of the systems of nonlinear equations for finding the elements of external orientation (EEO) to perform aerial photography by unmanned aerial vehicles (UAVs). The elements of external orientation functions search for the minimum of the function F , which is the sum of squares of coordinate differences on the image and is calculated by the measured coordinates on the ground, or the minimum of the function G, which is constructed using co-linearity and is the sum of squares of differences of the given coordinates Xi, Yi, Zi (i=1,2,…,n) on the ground and those which were calculated by the values xi, yi (i=1,2,…,n) measured on the image. In contrast to the classical approach, the choice of such a type of function is due to the possibility of implementing the algorithm using mathematical packages. Since some of the unknown coordinates Xi, Yi, Zi (the origin of the coordinate system is the center of projection) are included in the function G as arguments linearly, fulfillment of the conditions of the minimum of this function (equality of partial zero derivatives) in this case is simpler. This allows us to determine them through the angular elements of the EEO, which reduces the system of six equations to the system of three equations, being dependent on the angular elements. The function G is differentiated with respect to the variables dependent on the angular elements to obtain the three other equations. The obtained in this way system of equations is solved by the parameter variation method and gives us the solution of the required EEOs with a given accuracy. The proposed algorithm gives us a real opportunity to clarify the values of EEO, moreover, the linear EEOs are determined with maximum accuracy, that makes it possible to increase the accuracy of the spatial coordinates of the points of the terrain. The application of digital image processing from UAVs will significantly extend the range of implementation of aerial photography from UAVs to solve a variety of topographic, cadastral and engineering problems. The proposed technique was tested on the relevant materials of aerial photography from UAVs at control points, which made it possible to confirm the optimality of the technique.
{"title":"Nonlinear method for determining external orientation elements of digital images obtained from drone","authors":"M. Fys, V. Hlotov, A. Brydun, Z. Siejka","doi":"10.23939/mmc2022.03.627","DOIUrl":"https://doi.org/10.23939/mmc2022.03.627","url":null,"abstract":"We have suggested the method of application of a direct solving of the systems of nonlinear equations for finding the elements of external orientation (EEO) to perform aerial photography by unmanned aerial vehicles (UAVs). The elements of external orientation functions search for the minimum of the function F , which is the sum of squares of coordinate differences on the image and is calculated by the measured coordinates on the ground, or the minimum of the function G, which is constructed using co-linearity and is the sum of squares of differences of the given coordinates Xi, Yi, Zi (i=1,2,…,n) on the ground and those which were calculated by the values xi, yi (i=1,2,…,n) measured on the image. In contrast to the classical approach, the choice of such a type of function is due to the possibility of implementing the algorithm using mathematical packages. Since some of the unknown coordinates Xi, Yi, Zi (the origin of the coordinate system is the center of projection) are included in the function G as arguments linearly, fulfillment of the conditions of the minimum of this function (equality of partial zero derivatives) in this case is simpler. This allows us to determine them through the angular elements of the EEO, which reduces the system of six equations to the system of three equations, being dependent on the angular elements. The function G is differentiated with respect to the variables dependent on the angular elements to obtain the three other equations. The obtained in this way system of equations is solved by the parameter variation method and gives us the solution of the required EEOs with a given accuracy. The proposed algorithm gives us a real opportunity to clarify the values of EEO, moreover, the linear EEOs are determined with maximum accuracy, that makes it possible to increase the accuracy of the spatial coordinates of the points of the terrain. The application of digital image processing from UAVs will significantly extend the range of implementation of aerial photography from UAVs to solve a variety of topographic, cadastral and engineering problems. The proposed technique was tested on the relevant materials of aerial photography from UAVs at control points, which made it possible to confirm the optimality of the technique.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68767467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The article presents a three-dimensional mathematical model of the gas filtration process in porous media and a numerical algorithm for solving the initial-boundary value problem. The developed model is described using the nonlinear differential equation in partial derivatives with the appropriate initial and boundary conditions. The proposed mathematical apparatus makes it possible to carry out hydrodynamic calculations taking into account changes in the main factors affecting the process under consideration: permeability, porosity, and thickness of layers, gas recovery coefficient, viscosity, etc. Computer implementation of the model provides an opportunity to solve practical problems of analysis and forecasting of the gas production process under various conditions of impact on the productive reservoir, as well as making decisions on the development of existing and design of new gas fields.
{"title":"3D model and numerical algorithm for gas filtration in porous media","authors":"N. Kurbonov","doi":"10.23939/mmc2022.03.637","DOIUrl":"https://doi.org/10.23939/mmc2022.03.637","url":null,"abstract":"The article presents a three-dimensional mathematical model of the gas filtration process in porous media and a numerical algorithm for solving the initial-boundary value problem. The developed model is described using the nonlinear differential equation in partial derivatives with the appropriate initial and boundary conditions. The proposed mathematical apparatus makes it possible to carry out hydrodynamic calculations taking into account changes in the main factors affecting the process under consideration: permeability, porosity, and thickness of layers, gas recovery coefficient, viscosity, etc. Computer implementation of the model provides an opportunity to solve practical problems of analysis and forecasting of the gas production process under various conditions of impact on the productive reservoir, as well as making decisions on the development of existing and design of new gas fields.","PeriodicalId":37156,"journal":{"name":"Mathematical Modeling and Computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68767483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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