Pub Date : 2022-10-13DOI: 10.1515/ijnsns-2021-0443
Yongyi Gu, J. Manafian, M. Mahmoud, Sukaina Tuama Ghafel, O. Ilhan
Abstract In this paper, the exact analytical solutions to the generalized Schrödinger equation are investigated. The Schrodinger type equations bearing nonlinearity are the important models that flourished with the wide-ranging arena concerning plasma physics, nonlinear optics, fluid-flow, and the theory of deep-water waves, etc. In this exploration, the soliton and other traveling wave solutions in an appropriate form to the generalized nonlinear Schrodinger equation by means of the extended sinh-Gordon equation expansion method, tan(Γ(ϖ))-expansion method, and the improved cos(Γ(ϖ)) function method are obtained. The suggested model of the nonlinear Schrodinger equation is turned into a differential ordinary equation of a single variable through executing some operations. One soliton, periodic, and singular wave solutions to this important equation in physics are reached. The periodic solutions are expressed in terms of the rational functions. Soliton solutions are obtained from them as a particular case. The obtained solutions are figured out in the profiles of 2D, density, and 3D plots by assigning suitable values of the involved unknown constants. Modulation instability (MI) is employed to discuss the stability of got solutions. These various graphical appearances enable the researchers to understand the underlying mechanisms of intricate phenomena of the leading equation. The individual performances of the employed methods are praiseworthy which deserves further application to unravel any other nonlinear partial differential equations (NLPDEs) arising in various branches of sciences. The proposed methodologies for resolving NLPDEs have been designed to be effectual, unpretentious, expedient, and manageable.
{"title":"New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes","authors":"Yongyi Gu, J. Manafian, M. Mahmoud, Sukaina Tuama Ghafel, O. Ilhan","doi":"10.1515/ijnsns-2021-0443","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0443","url":null,"abstract":"Abstract In this paper, the exact analytical solutions to the generalized Schrödinger equation are investigated. The Schrodinger type equations bearing nonlinearity are the important models that flourished with the wide-ranging arena concerning plasma physics, nonlinear optics, fluid-flow, and the theory of deep-water waves, etc. In this exploration, the soliton and other traveling wave solutions in an appropriate form to the generalized nonlinear Schrodinger equation by means of the extended sinh-Gordon equation expansion method, tan(Γ(ϖ))-expansion method, and the improved cos(Γ(ϖ)) function method are obtained. The suggested model of the nonlinear Schrodinger equation is turned into a differential ordinary equation of a single variable through executing some operations. One soliton, periodic, and singular wave solutions to this important equation in physics are reached. The periodic solutions are expressed in terms of the rational functions. Soliton solutions are obtained from them as a particular case. The obtained solutions are figured out in the profiles of 2D, density, and 3D plots by assigning suitable values of the involved unknown constants. Modulation instability (MI) is employed to discuss the stability of got solutions. These various graphical appearances enable the researchers to understand the underlying mechanisms of intricate phenomena of the leading equation. The individual performances of the employed methods are praiseworthy which deserves further application to unravel any other nonlinear partial differential equations (NLPDEs) arising in various branches of sciences. The proposed methodologies for resolving NLPDEs have been designed to be effectual, unpretentious, expedient, and manageable.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48346054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-13DOI: 10.1515/ijnsns-2021-0271
B. Ahmad, A. Alsaedi, Badra S. Alghamdi
Abstract We discuss the existence of solutions for a boundary value problem of nonlinear coupled Riemann–Liouville fractional integro-differential equations equipped with coupled nonlocal fractional integro-multipoint boundary conditions. The standard tools of the modern functional analysis are employed to derive the desired results for the problem at hand. The case of nonlinearities depending on the Riemann–Liouville fractional integrals is also discussed. Examples illustrating the obtained results are presented.
{"title":"A study of a nonlinear Riemann–Liouville coupled integro-differential system with coupled nonlocal fractional integro-multipoint boundary conditions","authors":"B. Ahmad, A. Alsaedi, Badra S. Alghamdi","doi":"10.1515/ijnsns-2021-0271","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0271","url":null,"abstract":"Abstract We discuss the existence of solutions for a boundary value problem of nonlinear coupled Riemann–Liouville fractional integro-differential equations equipped with coupled nonlocal fractional integro-multipoint boundary conditions. The standard tools of the modern functional analysis are employed to derive the desired results for the problem at hand. The case of nonlinearities depending on the Riemann–Liouville fractional integrals is also discussed. Examples illustrating the obtained results are presented.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41766819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-13DOI: 10.1515/ijnsns-2021-0399
W. Ai, Ruihong Tian, Da-Wei Liu, Wenshan Duan
Abstract The stochastic function describing the stochastic behavior of traffic flow in the process of acceleration or deceleration can better capture the stochastic characteristics of traffic flow. Based on this, we introduce the stochastic function into a high-order viscous continuous traffic flow model and propose a stochastic traffic flow model. Furthermore, we performed the bifurcation analysis of traffic flow system based on the model. Accordingly, the traffic flow problem is transformed into the stability analysis problem of the system, highlighting the unstable traffic characteristics such as congestion. The model can be used to study the nonlinear dynamic behavior of traffic flow. Based on this model, the existence of Hopf bifurcation and the saddle-node bifurcation is theoretically proved. And the type of the Hopf bifurcation is theoretically derived. The model can also be used to study the mutation behavior of system stability at bifurcation point. From the density space-time diagram of the system, we find that the system undergoes a stability mutation when it passes through the bifurcation point, which is consistent with the theoretical analysis results.
{"title":"Bifurcation analysis of a new stochastic traffic flow model","authors":"W. Ai, Ruihong Tian, Da-Wei Liu, Wenshan Duan","doi":"10.1515/ijnsns-2021-0399","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0399","url":null,"abstract":"Abstract The stochastic function describing the stochastic behavior of traffic flow in the process of acceleration or deceleration can better capture the stochastic characteristics of traffic flow. Based on this, we introduce the stochastic function into a high-order viscous continuous traffic flow model and propose a stochastic traffic flow model. Furthermore, we performed the bifurcation analysis of traffic flow system based on the model. Accordingly, the traffic flow problem is transformed into the stability analysis problem of the system, highlighting the unstable traffic characteristics such as congestion. The model can be used to study the nonlinear dynamic behavior of traffic flow. Based on this model, the existence of Hopf bifurcation and the saddle-node bifurcation is theoretically proved. And the type of the Hopf bifurcation is theoretically derived. The model can also be used to study the mutation behavior of system stability at bifurcation point. From the density space-time diagram of the system, we find that the system undergoes a stability mutation when it passes through the bifurcation point, which is consistent with the theoretical analysis results.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45221933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-12DOI: 10.1515/ijnsns-2022-0217
Min Yang, Yong Zhou
Abstract This paper concerns the global existence of mild solutions for a class of Hilfer fractional stochastic evolution equations on infinite interval (0, +∞), while the existing work were considered on finite interval. The main difficulties here are how to construct suitable Banach spaces, proper operator relations, and then how to formulate the new criteria to guarantee the global existence of mild solutions on the previous constructed spaces under non-Lipschitz conditions. We mainly rely on the generalized Ascoli–Arzela theorem we established, Wright function, Schauder’s fixed point principle, and Kuratowski’s measure of noncompactness to handle with the infinite interval problems. Moreover, we give two examples to demonstrate the feasibility and utility of our results.
{"title":"Hilfer fractional stochastic evolution equations on infinite interval","authors":"Min Yang, Yong Zhou","doi":"10.1515/ijnsns-2022-0217","DOIUrl":"https://doi.org/10.1515/ijnsns-2022-0217","url":null,"abstract":"Abstract This paper concerns the global existence of mild solutions for a class of Hilfer fractional stochastic evolution equations on infinite interval (0, +∞), while the existing work were considered on finite interval. The main difficulties here are how to construct suitable Banach spaces, proper operator relations, and then how to formulate the new criteria to guarantee the global existence of mild solutions on the previous constructed spaces under non-Lipschitz conditions. We mainly rely on the generalized Ascoli–Arzela theorem we established, Wright function, Schauder’s fixed point principle, and Kuratowski’s measure of noncompactness to handle with the infinite interval problems. Moreover, we give two examples to demonstrate the feasibility and utility of our results.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42671851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-11DOI: 10.1515/ijnsns-2022-0237
F. Bekraoui, A. Harrouz, Khayra Roummani, I. Boussaid, Amina Bekraoui
Abstract In this paper, a sliding mode controller is implemented to a permanent synchronous generator direct driven wind energy conversion system. The goal of this proposed work is to control the stator directly and quadrature axis currents to minimize the chattering phenomenon. To achieve this goal, we use two numerical techniques which are PSO (particle swarm optimization) and GWO (grey wolf optimization) algorithms to obtain gains parameters of the controller. The analysis of the recommended approach robustness and responsiveness of the system has been carried out under the real wind speed of the Adrar region (south of Algeria) and simulation results are tested under MATLAB/Simulink tool. The main result shows the effectiveness and the better performance of the PSO compared to the GWO.
{"title":"PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria","authors":"F. Bekraoui, A. Harrouz, Khayra Roummani, I. Boussaid, Amina Bekraoui","doi":"10.1515/ijnsns-2022-0237","DOIUrl":"https://doi.org/10.1515/ijnsns-2022-0237","url":null,"abstract":"Abstract In this paper, a sliding mode controller is implemented to a permanent synchronous generator direct driven wind energy conversion system. The goal of this proposed work is to control the stator directly and quadrature axis currents to minimize the chattering phenomenon. To achieve this goal, we use two numerical techniques which are PSO (particle swarm optimization) and GWO (grey wolf optimization) algorithms to obtain gains parameters of the controller. The analysis of the recommended approach robustness and responsiveness of the system has been carried out under the real wind speed of the Adrar region (south of Algeria) and simulation results are tested under MATLAB/Simulink tool. The main result shows the effectiveness and the better performance of the PSO compared to the GWO.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47069166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-11DOI: 10.1515/ijnsns-2021-0371
W. Kavitha Williams, V. Vijayakumar, A. Shukla, K. Nisar
Abstract The article deals with the approximate controllability of Atangana–Baleanu semilinear control systems. The outcomes are derived by applying Gronwall’s inequality and Cauchy sequence, and avoid the use of the fixed point theorem. We have also included an example for the validation of theoretical results.
{"title":"An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems","authors":"W. Kavitha Williams, V. Vijayakumar, A. Shukla, K. Nisar","doi":"10.1515/ijnsns-2021-0371","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0371","url":null,"abstract":"Abstract The article deals with the approximate controllability of Atangana–Baleanu semilinear control systems. The outcomes are derived by applying Gronwall’s inequality and Cauchy sequence, and avoid the use of the fixed point theorem. We have also included an example for the validation of theoretical results.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41403665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-11DOI: 10.1515/ijnsns-2021-0430
Weizhan Wang, Peng Tian, Wenjie Lu, F. Meng, Zhigang Chen, T. Zhao
Abstract The penetration efficiency of novel ceramic fragments should be investigated, and their weapon damage effectiveness must be evaluated. In this study, the efficiency of ceramic fragments in penetrating steel targets were analyzed through ballistic impact tests and numerical simulations. The penetration patterns of these ceramic fragments through steel targets indicate significant perforation. It was deduced that the thicker the steel target, the greater the ability of ZrO2 ceramic fragments to penetrate. Results indicate that the thicker the steel target, the greater the ability of ZrO2 ceramic fragments to expand their perforation, while that of Al2O3 ceramic fragments is reduced as the thickness of the steel target is increased. In addition, the number of projectiles triggered by the perforation of the two ceramic fragments behind the targets decreases as the thickness of the steel target increases. Thus, the higher the impact velocity, the larger the perforation diameter of the ceramic fragments, and the larger the number of projectiles behind the target. Under the same impact velocity, the penetration ability of a ZrO2 ceramic fragment on steel targets was better than that of an Al2O3 ceramic fragment, and the number of projectiles behind the target was greater.
{"title":"On the penetration efficiency of ceramic fragments through steel targets","authors":"Weizhan Wang, Peng Tian, Wenjie Lu, F. Meng, Zhigang Chen, T. Zhao","doi":"10.1515/ijnsns-2021-0430","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0430","url":null,"abstract":"Abstract The penetration efficiency of novel ceramic fragments should be investigated, and their weapon damage effectiveness must be evaluated. In this study, the efficiency of ceramic fragments in penetrating steel targets were analyzed through ballistic impact tests and numerical simulations. The penetration patterns of these ceramic fragments through steel targets indicate significant perforation. It was deduced that the thicker the steel target, the greater the ability of ZrO2 ceramic fragments to penetrate. Results indicate that the thicker the steel target, the greater the ability of ZrO2 ceramic fragments to expand their perforation, while that of Al2O3 ceramic fragments is reduced as the thickness of the steel target is increased. In addition, the number of projectiles triggered by the perforation of the two ceramic fragments behind the targets decreases as the thickness of the steel target increases. Thus, the higher the impact velocity, the larger the perforation diameter of the ceramic fragments, and the larger the number of projectiles behind the target. Under the same impact velocity, the penetration ability of a ZrO2 ceramic fragment on steel targets was better than that of an Al2O3 ceramic fragment, and the number of projectiles behind the target was greater.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41784637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-11DOI: 10.1515/ijnsns-2021-0444
M. Manikandan, S. Ong
Abstract The main objective of this paper is to provide an efficient image encryption for each and every single person in order to secure their own records while saving them in social networks. We have formulated the delayed fuzzy cellular neural networks (FCNNs) with suitable keys that are the values of the parameters of FCNNs and obtain the irregular dynamical signal (solution) which encrypts the images. We have utilized entirely 42 parameters as a key sensitivity in the order of 10−15 among them three elements of initial condition parameters are sensitive to the order of 10−14. Lastly, comparison results are provided with the existing literature. The measurements show that the proposed algorithm is a novel overall solution for image encryption.
{"title":"Cryptanalysis of various images based on neural networks with leakage and time varying delays","authors":"M. Manikandan, S. Ong","doi":"10.1515/ijnsns-2021-0444","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0444","url":null,"abstract":"Abstract The main objective of this paper is to provide an efficient image encryption for each and every single person in order to secure their own records while saving them in social networks. We have formulated the delayed fuzzy cellular neural networks (FCNNs) with suitable keys that are the values of the parameters of FCNNs and obtain the irregular dynamical signal (solution) which encrypts the images. We have utilized entirely 42 parameters as a key sensitivity in the order of 10−15 among them three elements of initial condition parameters are sensitive to the order of 10−14. Lastly, comparison results are provided with the existing literature. The measurements show that the proposed algorithm is a novel overall solution for image encryption.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46011534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-10DOI: 10.1515/ijnsns-2021-0448
Zhi-hui Ma, Ting Qi, Xiaohua Li
Abstract In this paper, a generalized stochastic SIR epidemic model with vaccination rules is presented and the threshold behavior of the proposed epidemic model is investigated. Firstly, the stability of the equilibrium of the deterministic system is considered and the corresponding conditions are obtained. Secondly, the threshold of a stochastic SIR system for the extinction and the permanence in mean of epidemic disease are investigated. The results show that a larger stochastic disturbance can cause infections diseases to go to extinction. However, for a relatively small stochastic disturbance, the evolutionary dynamics of the epidemic diseases are overwhelmingly depend on the incidence function. This implies that the stochastic disturbance and the incidence function play an important role in diseases control. To test the theoretical results, a series of numerical simulations of these cases with respect to different noise disturbance coefficients are conducted.
{"title":"A generalized stochastic SIR epidemic model with vaccination rules","authors":"Zhi-hui Ma, Ting Qi, Xiaohua Li","doi":"10.1515/ijnsns-2021-0448","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0448","url":null,"abstract":"Abstract In this paper, a generalized stochastic SIR epidemic model with vaccination rules is presented and the threshold behavior of the proposed epidemic model is investigated. Firstly, the stability of the equilibrium of the deterministic system is considered and the corresponding conditions are obtained. Secondly, the threshold of a stochastic SIR system for the extinction and the permanence in mean of epidemic disease are investigated. The results show that a larger stochastic disturbance can cause infections diseases to go to extinction. However, for a relatively small stochastic disturbance, the evolutionary dynamics of the epidemic diseases are overwhelmingly depend on the incidence function. This implies that the stochastic disturbance and the incidence function play an important role in diseases control. To test the theoretical results, a series of numerical simulations of these cases with respect to different noise disturbance coefficients are conducted.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41562020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-10DOI: 10.1515/ijnsns-2019-0200
A. Krafčík, M. Babincová, P. Babinec, I. Frollo
Abstract Magnetic carriers for guiding, delivery, and capturing of drugs to desired place attract interest in the field of smart treatment of various pathological conditions. Presented paper, therefore, deals with one such application with the theoretical model of magnetic fluid flow through vessel bifurcation with one arm treated with ferromagnetic vascular stent placed in an external originally homogeneous magnetic field. This flow was described as laminar Newtonian incompressible continuum of the magnetic many-bead system, with Reynolds number ≈ 1 $approx 1$ , using magnetic force variant of the Nernst–Planck equation coupled with the Navier–Stokes equations, solved numerically by the finite element method (FEM). This approach allowed us to quantify capturing efficiency of magnetic beads in each arm of bifurcation vessels. Results show reduction of the number of magnetic beads entering as well as leaving the arm treated with stent in comparison with the untreated one. For stented bifurcation arm, the significant amount of beads are captured to its luminal surface, which may be used for drug delivery using magnetic carriers.
{"title":"Computational study of intravenous magnetic drug targeting using implanted magnetizable stent","authors":"A. Krafčík, M. Babincová, P. Babinec, I. Frollo","doi":"10.1515/ijnsns-2019-0200","DOIUrl":"https://doi.org/10.1515/ijnsns-2019-0200","url":null,"abstract":"Abstract Magnetic carriers for guiding, delivery, and capturing of drugs to desired place attract interest in the field of smart treatment of various pathological conditions. Presented paper, therefore, deals with one such application with the theoretical model of magnetic fluid flow through vessel bifurcation with one arm treated with ferromagnetic vascular stent placed in an external originally homogeneous magnetic field. This flow was described as laminar Newtonian incompressible continuum of the magnetic many-bead system, with Reynolds number ≈ 1 $approx 1$ , using magnetic force variant of the Nernst–Planck equation coupled with the Navier–Stokes equations, solved numerically by the finite element method (FEM). This approach allowed us to quantify capturing efficiency of magnetic beads in each arm of bifurcation vessels. Results show reduction of the number of magnetic beads entering as well as leaving the arm treated with stent in comparison with the untreated one. For stented bifurcation arm, the significant amount of beads are captured to its luminal surface, which may be used for drug delivery using magnetic carriers.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46023989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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