Pub Date : 2012-08-31DOI: 10.5923/J.AM.20120202.06
J. P. Vishwakarma, V. Pandey
Similarity solutions are obtained for one-dimensional flow under the action of monochromatic radiation behind a cylindrical magnetogasdynamic shock wave propagating in a non-ideal gas in presence of an axial magnetic field. The initial density of the medium and initial magnetic field are assumed to be constant. It is investigated that the presence of the magnetic field or the non-idealness of the gas decays the shock wave, and when the initial magnetic field is strong the non-idealness of the gas affects the velocity and pressure profiles significantly. Also, it is observed that the flow-variables behind the shock are affected significantly, by an increase in the parameter of radiation, when the initial magnetic field is strong. It is, therefore, inferred that the effect of the non-idealness of the gas and of the monochromatic radiation on the shock propagation become more significant when the strength of the initial magnetic field is increased.
{"title":"Self-Similar Flow under the Action of Monochromatic Radiation Behind a Cylindrical MHD Shock in a Non-Ideal Gas","authors":"J. P. Vishwakarma, V. Pandey","doi":"10.5923/J.AM.20120202.06","DOIUrl":"https://doi.org/10.5923/J.AM.20120202.06","url":null,"abstract":"Similarity solutions are obtained for one-dimensional flow under the action of monochromatic radiation behind a cylindrical magnetogasdynamic shock wave propagating in a non-ideal gas in presence of an axial magnetic field. The initial density of the medium and initial magnetic field are assumed to be constant. It is investigated that the presence of the magnetic field or the non-idealness of the gas decays the shock wave, and when the initial magnetic field is strong the non-idealness of the gas affects the velocity and pressure profiles significantly. Also, it is observed that the flow-variables behind the shock are affected significantly, by an increase in the parameter of radiation, when the initial magnetic field is strong. It is, therefore, inferred that the effect of the non-idealness of the gas and of the monochromatic radiation on the shock propagation become more significant when the strength of the initial magnetic field is increased.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250768","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20120203.04
R. Arora, S. Yadav
Indian Institute of Technology Roorkee, Saharanpur campus, Saharanpur, U.P.-247001, India Abstract In this paper, the exact traveling wave solutions of thegeneralized forms B(n, 1) and B(-n, 1) of Burgers' equation are obtained by using (G`/G)-expansion method. It has been shown that the (G`/G)-expansion method, with the help of computation, provides a very effective and powerful tool for solving non-linear partial differential equations
{"title":"Application of The (-Expansion Method For Solving The Generalized Forms B (n, 1 ) andB (-n, 1 ) of Burgers’ Equation","authors":"R. Arora, S. Yadav","doi":"10.5923/J.AM.20120203.04","DOIUrl":"https://doi.org/10.5923/J.AM.20120203.04","url":null,"abstract":"Indian Institute of Technology Roorkee, Saharanpur campus, Saharanpur, U.P.-247001, India Abstract In this paper, the exact traveling wave solutions of thegeneralized forms B(n, 1) and B(-n, 1) of Burgers' equation are obtained by using (G`/G)-expansion method. It has been shown that the (G`/G)-expansion method, with the help of computation, provides a very effective and powerful tool for solving non-linear partial differential equations","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250925","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20120203.06
Abdallah S. Waziri, E. Massawe, O. Makinde
This paper examines the dynamics of HIV/AIDS with treatment and vertical transmission. A nonlinear deterministic mathematical model for the problem is proposed and analysed qualitatively using the stability theory of differential equations. Local stability of the disease free equilibrium of the model was established by the next generation method. The results show that the disease free equilibrium is locally stable at threshold parameter less than unity and unstable at threshold parameter greater than unity. Globally, the disease free equilibrium is not stable due existence of forward bifurcation at threshold parameter equal to unity. However, it is shown that using treatment measures (ARVs) and control of the rate of vertical transmission have the effect of reducing the transmission of the disease significantly. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the spread of the disease.
{"title":"Mathematical Modelling of HIV/AIDS Dynamics with Treatment and Vertical Transmission","authors":"Abdallah S. Waziri, E. Massawe, O. Makinde","doi":"10.5923/J.AM.20120203.06","DOIUrl":"https://doi.org/10.5923/J.AM.20120203.06","url":null,"abstract":"This paper examines the dynamics of HIV/AIDS with treatment and vertical transmission. A nonlinear deterministic mathematical model for the problem is proposed and analysed qualitatively using the stability theory of differential equations. Local stability of the disease free equilibrium of the model was established by the next generation method. The results show that the disease free equilibrium is locally stable at threshold parameter less than unity and unstable at threshold parameter greater than unity. Globally, the disease free equilibrium is not stable due existence of forward bifurcation at threshold parameter equal to unity. However, it is shown that using treatment measures (ARVs) and control of the rate of vertical transmission have the effect of reducing the transmission of the disease significantly. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the spread of the disease.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250946","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20120203.07
J. I. Mamedkhanov, I. Dadashova
In this paper, we study a problem of approximation for the classes of functions determined only on the boundary of domain in weighted integral spaces by means of the rational functions of the form (1) where b is a point lying strictly inside the considered curve. Notice that the approximation estimations, generally speaking, coincide with the esti- mations of polynomial approximation for p E classes (Smirnov's class). Approximation problem for the classes of functions de- termined only on the boundary of domain is of great impor- tance alongside with the study of approximation of functions by means of polynomials analytic in the domain G and with some conditions on the boundary Γ . Obviously, it is im- possible in general to approximate such classes of functions by means of polynomials(12). Therefore, various kinds of rational functions or so called generalized polynomials are mostly used in this case as an approximation tool(12). J. I. Mamedkhanov, D. M. Israfilov and I. M. Botchaev investi- gated the approximation problems of functions determined only on the boundary of domain by means of rational func- tions of the form ( ) ( ) ,1 nn R z P z z = for certain classes of curves in terms of uniform metric(1-4). In this paper, we study the approximation problems of a function from the class ( ) , p L ϑ Γ by means of a rational function of the form ( ) ( ) n k nk kn R z a z b − = = −
本文研究了用(1)式有理函数逼近加权积分空间中仅在定义域边界上确定的函数类的问题，其中b是严格位于所考虑曲线内的一点。注意，一般来说，近似估计与p E类(Smirnov类)的多项式近似估计一致。仅在定义域边界上确定的函数类的逼近问题，与研究在定义域上用解析多项式逼近函数及其边界上的某些条件Γ一样，具有重要的意义。显然，一般来说，用多项式来近似这类函数是不可能的(12)。因此，在这种情况下，主要使用各种有理函数或所谓的广义多项式作为近似工具(12)。J. I. Mamedkhanov, D. M. Israfilov和I. M. Botchaev研究了用()()，1 nn R z P z z =形式的有理函数确定的仅在定义域边界上的函数的逼近问题(1-4)。本文利用形式为()()nk k k kn R z a z b−= =−的有理函数，研究了一类函数()，p L Γ的逼近问题
{"title":"Rational Approximation on Closed Curves","authors":"J. I. Mamedkhanov, I. Dadashova","doi":"10.5923/J.AM.20120203.07","DOIUrl":"https://doi.org/10.5923/J.AM.20120203.07","url":null,"abstract":"In this paper, we study a problem of approximation for the classes of functions determined only on the boundary of domain in weighted integral spaces by means of the rational functions of the form (1) where b is a point lying strictly inside the considered curve. Notice that the approximation estimations, generally speaking, coincide with the esti- mations of polynomial approximation for p E classes (Smirnov's class). Approximation problem for the classes of functions de- termined only on the boundary of domain is of great impor- tance alongside with the study of approximation of functions by means of polynomials analytic in the domain G and with some conditions on the boundary Γ . Obviously, it is im- possible in general to approximate such classes of functions by means of polynomials(12). Therefore, various kinds of rational functions or so called generalized polynomials are mostly used in this case as an approximation tool(12). J. I. Mamedkhanov, D. M. Israfilov and I. M. Botchaev investi- gated the approximation problems of functions determined only on the boundary of domain by means of rational func- tions of the form ( ) ( ) ,1 nn R z P z z = for certain classes of curves in terms of uniform metric(1-4). In this paper, we study the approximation problems of a function from the class ( ) , p L ϑ Γ by means of a rational function of the form ( ) ( ) n k nk kn R z a z b − = = −","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71251552","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20120204.02
N. Sthanumoorthy, K. Priyadharsini
In this paper, comp lete classificat ions of all BKM Lie superalgebras (with fin ite order and infinite order Cartan matrices) possessing Strictly Imaginary Property are given. These classifications also include, in particular, the Monster BKM Lie superalgebra.
{"title":"Complete Classification of BKM Lie Superalgebras Possessing Strictly Imaginary Property","authors":"N. Sthanumoorthy, K. Priyadharsini","doi":"10.5923/J.AM.20120204.02","DOIUrl":"https://doi.org/10.5923/J.AM.20120204.02","url":null,"abstract":"In this paper, comp lete classificat ions of all BKM Lie superalgebras (with fin ite order and infinite order Cartan matrices) possessing Strictly Imaginary Property are given. These classifications also include, in particular, the Monster BKM Lie superalgebra.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71251575","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20110102.09
R. Arora, Anoop Kumar
In this paper, we obtained a traveling wave solution by using cosine-function algorithm for nonlinear partial differential equations. Here, the method is used to obtain the exact solutions for two different types of nonlinear partial dif- ferential equations such as, Benjamin-Bona-Mahony (BBM) equation and Modified Regularized Long Wave (MRLW) equation which are the important soliton equations.
{"title":"Soliton Solution for the BBM and MRLW Equations by Cosine-function Method","authors":"R. Arora, Anoop Kumar","doi":"10.5923/J.AM.20110102.09","DOIUrl":"https://doi.org/10.5923/J.AM.20110102.09","url":null,"abstract":"In this paper, we obtained a traveling wave solution by using cosine-function algorithm for nonlinear partial differential equations. Here, the method is used to obtain the exact solutions for two different types of nonlinear partial dif- ferential equations such as, Benjamin-Bona-Mahony (BBM) equation and Modified Regularized Long Wave (MRLW) equation which are the important soliton equations.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250312","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20120202.04
R. Rao, P. Chakravarthy
In this paper, we present a numerical patching technique for solving singularly perturbed nonlinear differen- tial-difference equation with a small negative shift. The nonlinear problem is converted into a sequence of linear problems by quasilinearization process. After linearization, it is divided into two problems, namely inner region problem and outer region problem. The boundary condition at the cutting point is obtained from the theory of singular perturbations. Using stretching transformation, a modified inner region problem is constructed and is solved by using the upwind finite difference scheme. The outer region problem is solved by a Taylor polynomial approach. We combine the solutions of both problems to obtain an approximate solution of the original problem. The proposed method is iterative on the cutting point. The process is repeated for various choices of the cutting point, until the solution profiles stabilize. Some numerical examples have been solved to demonstrate the applicability of the method. The method is analyzed for stability and convergence.
{"title":"A Numerical Patching Technique for Singularly Perturbed Nonlinear Differential-Difference Equations with a Negative Shift","authors":"R. Rao, P. Chakravarthy","doi":"10.5923/J.AM.20120202.04","DOIUrl":"https://doi.org/10.5923/J.AM.20120202.04","url":null,"abstract":"In this paper, we present a numerical patching technique for solving singularly perturbed nonlinear differen- tial-difference equation with a small negative shift. The nonlinear problem is converted into a sequence of linear problems by quasilinearization process. After linearization, it is divided into two problems, namely inner region problem and outer region problem. The boundary condition at the cutting point is obtained from the theory of singular perturbations. Using stretching transformation, a modified inner region problem is constructed and is solved by using the upwind finite difference scheme. The outer region problem is solved by a Taylor polynomial approach. We combine the solutions of both problems to obtain an approximate solution of the original problem. The proposed method is iterative on the cutting point. The process is repeated for various choices of the cutting point, until the solution profiles stabilize. Some numerical examples have been solved to demonstrate the applicability of the method. The method is analyzed for stability and convergence.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250750","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20110101.04
M. Zakerzadeh, H. Sayyaadi, M. Zanjani
Krasnosel'skii-Pokrovskii (KP) model is one of the great operator-based phenomenological models which is used in modeling hysteretic nonlinear behavior in smart actuators. The time continuity and the parametric continuity of this operator are important and valuable factors for physical considerations as well as designing well-posed identification methodologies. In most of the researches conducted about the modeling of smart actuators by KP model, especially SMA actuators, only the ability of the KP model in characterizing the hysteretic behavior of the actuators is demonstrated with respect to some specified experimental data and the accuracy of the developed model with respect to other data is not vali- dated. Therefore, it is not clear whether the developed model is capable of predicting hysteresis minor loops of those ac- tuators or not and how accurate it is in this prediction task. In this paper the accuracy of the KP model in predicting SMA hysteresis minor loops as well as first order ascending curves attached to the major hysteresis loop are experimentally vali- dated, while the parameters of the KP model has been identified only with some first order descending reversal curves at- tached to the major loop. The results show that, in the worst case, the maximum of prediction error is less than 18.2% of the maximum output and this demonstrates the powerful capability of the KP model in characterizing the hysteresis nonlinear- ity of SMA actuators.
{"title":"Characterizing Hysteresis Nonlinearity Behavior of SMA Actuators by Krasnosel'skii-Pokrovskii Model","authors":"M. Zakerzadeh, H. Sayyaadi, M. Zanjani","doi":"10.5923/J.AM.20110101.04","DOIUrl":"https://doi.org/10.5923/J.AM.20110101.04","url":null,"abstract":"Krasnosel'skii-Pokrovskii (KP) model is one of the great operator-based phenomenological models which is used in modeling hysteretic nonlinear behavior in smart actuators. The time continuity and the parametric continuity of this operator are important and valuable factors for physical considerations as well as designing well-posed identification methodologies. In most of the researches conducted about the modeling of smart actuators by KP model, especially SMA actuators, only the ability of the KP model in characterizing the hysteretic behavior of the actuators is demonstrated with respect to some specified experimental data and the accuracy of the developed model with respect to other data is not vali- dated. Therefore, it is not clear whether the developed model is capable of predicting hysteresis minor loops of those ac- tuators or not and how accurate it is in this prediction task. In this paper the accuracy of the KP model in predicting SMA hysteresis minor loops as well as first order ascending curves attached to the major hysteresis loop are experimentally vali- dated, while the parameters of the KP model has been identified only with some first order descending reversal curves at- tached to the major loop. The results show that, in the worst case, the maximum of prediction error is less than 18.2% of the maximum output and this demonstrates the powerful capability of the KP model in characterizing the hysteresis nonlinear- ity of SMA actuators.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250249","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20110102.12
Oyesanya M. O., Atabong T. A.
Separate administration of either chemotherapy or immunotherapy has been studied and applied to clinical experiments but however, this administration has shown some side effects such as increased acidity which gives a selective advantage to tumor cell growth. We introduce a model for the combined action of chemotherapy and immunotherapy using fractional derivatives. This model with non-integer derivative was analysed analytically and numerically for stability of the disease free equilibrium. The analytic result shows that the disease free equilibrium exist and if the prescriptions of food and drugs are followed strictly (taken at the right time and right dose) and in addition if the basic tumor growth factor, ���� 21≥1 then the only realistic steady state is the disease free steady state. We also show analytically that this steady state is stable for some parameter values. Our analytical results were confirmed with a numerical simulation of the full non linear fractional diffusion system.
{"title":"Complex Stability Analysis of Therapeutic Actions in a Fractional Reaction Diffusion Model of Tumor","authors":"Oyesanya M. O., Atabong T. A.","doi":"10.5923/J.AM.20110102.12","DOIUrl":"https://doi.org/10.5923/J.AM.20110102.12","url":null,"abstract":"Separate administration of either chemotherapy or immunotherapy has been studied and applied to clinical experiments but however, this administration has shown some side effects such as increased acidity which gives a selective advantage to tumor cell growth. We introduce a model for the combined action of chemotherapy and immunotherapy using fractional derivatives. This model with non-integer derivative was analysed analytically and numerically for stability of the disease free equilibrium. The analytic result shows that the disease free equilibrium exist and if the prescriptions of food and drugs are followed strictly (taken at the right time and right dose) and in addition if the basic tumor growth factor, ���� 21≥1 then the only realistic steady state is the disease free steady state. We also show analytically that this steady state is stable for some parameter values. Our analytical results were confirmed with a numerical simulation of the full non linear fractional diffusion system.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250374","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}
Pub Date : 2012-08-31DOI: 10.5923/J.AM.20120202.07
K. Zhukovsky
We present a general method of operational nature to obtain solutions for several types of differential equations. Methodology of inverse differential operators for the solution of differential equations is developed. We apply operational approach to construct inverse differential operators and develop operational identities, involving inverse derivatives and generalized families of orthogonal polynomials. We employ them together with the exponential operator to investigate various differential equations. Advantages of operational technique for finding solutions of a wide spectrum of differential equations are demonstrated, in particular with regard to fractional differential equations.
{"title":"Inverse Derivative and Solutions of Some Ordinary Differential Equations","authors":"K. Zhukovsky","doi":"10.5923/J.AM.20120202.07","DOIUrl":"https://doi.org/10.5923/J.AM.20120202.07","url":null,"abstract":"We present a general method of operational nature to obtain solutions for several types of differential equations. Methodology of inverse differential operators for the solution of differential equations is developed. We apply operational approach to construct inverse differential operators and develop operational identities, involving inverse derivatives and generalized families of orthogonal polynomials. We employ them together with the exponential operator to investigate various differential equations. Advantages of operational technique for finding solutions of a wide spectrum of differential equations are demonstrated, in particular with regard to fractional differential equations.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250811","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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