Pub Date : 2020-06-28DOI: 10.1080/13873954.2020.1766509
F. Cigarini, E. Csencsics, J. Schlarp, S. Ito, G. Schitter
ABSTRACT In hybrid reluctance actuators, the achievable closed-loop system bandwidth is affected by the eddy currents and hysteresis in the ferromagnetic components and the mechanical resonance modes. Such effects must be accurately predicted to achieve high performance via feedback control. Therefore, a multiphysics electro-mechanical finite element model is proposed in this paper to compute the dynamics of a 2-DoF hybrid reluctance actuator. An electromagnetic simulation is adopted to compute the electromagnetic dynamics and the actuation torque, which is employed as input for a structural dynamic simulation computing the electro-mechanical frequency response function. For model validation, the simulated and measured frequency response plots are compared for two actuators with solid and laminated outer yoke, respectively. In both cases, the model accurately predicts the measurement results, with a maximum relative phase error of 1.7% between the first resonance frequency and 1 kHz and a relative error of 1.5% for the second resonance frequency..
{"title":"Multiphysics finite element model for the computation of the electro-mechanical dynamics of a hybrid reluctance actuator","authors":"F. Cigarini, E. Csencsics, J. Schlarp, S. Ito, G. Schitter","doi":"10.1080/13873954.2020.1766509","DOIUrl":"https://doi.org/10.1080/13873954.2020.1766509","url":null,"abstract":"ABSTRACT In hybrid reluctance actuators, the achievable closed-loop system bandwidth is affected by the eddy currents and hysteresis in the ferromagnetic components and the mechanical resonance modes. Such effects must be accurately predicted to achieve high performance via feedback control. Therefore, a multiphysics electro-mechanical finite element model is proposed in this paper to compute the dynamics of a 2-DoF hybrid reluctance actuator. An electromagnetic simulation is adopted to compute the electromagnetic dynamics and the actuation torque, which is employed as input for a structural dynamic simulation computing the electro-mechanical frequency response function. For model validation, the simulated and measured frequency response plots are compared for two actuators with solid and laminated outer yoke, respectively. In both cases, the model accurately predicts the measurement results, with a maximum relative phase error of 1.7% between the first resonance frequency and 1 kHz and a relative error of 1.5% for the second resonance frequency..","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"322 - 343"},"PeriodicalIF":1.9,"publicationDate":"2020-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1766509","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48260987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-23DOI: 10.1080/13873954.2020.1777566
Sehrish Malik, M. Ashraf, A. Jahangir
ABSTRACT In this article, we explore the three-dimensional boundary-layer flow over an exponentially stretching surface in two parallel ways. Constitutive equations of a second-grade fluid are used. Instead of classical Fourier’s law, Cattaneo–Christov heat flux model is employed for the formulation of the energy equation. This model can predict the effects of thermal relaxation time on the boundary layer. The resulting partial differential equations are reduced into ordinary differential equations by similarity transformations. Homotopy Analysis Method (HAM) is employed to solve the non-linear problem. Physical impact of emerging parameters on the momentum and thermal boundary-layer thickness are studied.
{"title":"Cattaneo–Christov heat flux model for three-dimensional flow of a viscoelastic fluid on an exponentially stretching surface","authors":"Sehrish Malik, M. Ashraf, A. Jahangir","doi":"10.1080/13873954.2020.1777566","DOIUrl":"https://doi.org/10.1080/13873954.2020.1777566","url":null,"abstract":"ABSTRACT In this article, we explore the three-dimensional boundary-layer flow over an exponentially stretching surface in two parallel ways. Constitutive equations of a second-grade fluid are used. Instead of classical Fourier’s law, Cattaneo–Christov heat flux model is employed for the formulation of the energy equation. This model can predict the effects of thermal relaxation time on the boundary layer. The resulting partial differential equations are reduced into ordinary differential equations by similarity transformations. Homotopy Analysis Method (HAM) is employed to solve the non-linear problem. Physical impact of emerging parameters on the momentum and thermal boundary-layer thickness are studied.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"344 - 356"},"PeriodicalIF":1.9,"publicationDate":"2020-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1777566","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47910941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-22DOI: 10.1080/13873954.2020.1771380
Puspita Mahata, G. C. Mahata
ABSTRACT This paper considers an imperfect manufacturing system with credit policies in fuzzy random environments. The supplier simultaneously offers the retailer either a permissible delay in payments or a cash discount and retailer in turn provides its customer a permissible delay period. We used an alternate approach – discount cash flow analysis to establish an inventory problem. It is assumed that the elapsed time until the machine shifts from ‘in-control’ state to ‘out-of-control’ state is characterized as a fuzzy random variable. As a function of this parameter, the profit function is also a random fuzzy variable. Based on the credibility measure of fuzzy event, the model with fuzzy random elapsed time can be transformed into a crisp model . We establish several theoretical results to obtain the solution that provides the largest present value of all future cash flows. Finally, numerical example is given to illustrate the results and obtain some managerial insights.
{"title":"Production and payment policies for an imperfect manufacturing system with discount cash flows analysis in fuzzy random environments","authors":"Puspita Mahata, G. C. Mahata","doi":"10.1080/13873954.2020.1771380","DOIUrl":"https://doi.org/10.1080/13873954.2020.1771380","url":null,"abstract":"ABSTRACT This paper considers an imperfect manufacturing system with credit policies in fuzzy random environments. The supplier simultaneously offers the retailer either a permissible delay in payments or a cash discount and retailer in turn provides its customer a permissible delay period. We used an alternate approach – discount cash flow analysis to establish an inventory problem. It is assumed that the elapsed time until the machine shifts from ‘in-control’ state to ‘out-of-control’ state is characterized as a fuzzy random variable. As a function of this parameter, the profit function is also a random fuzzy variable. Based on the credibility measure of fuzzy event, the model with fuzzy random elapsed time can be transformed into a crisp model . We establish several theoretical results to obtain the solution that provides the largest present value of all future cash flows. Finally, numerical example is given to illustrate the results and obtain some managerial insights.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"374 - 408"},"PeriodicalIF":1.9,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1771380","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43331010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-16DOI: 10.1080/13873954.2020.1777567
Jun Zhou, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou
ABSTRACT This paper investigates the problem of master-slave synchronization of neural networks with time-varying delays via the event-triggered control (ETC). First, the proposed ETC can effectively reduce the total amount of data transmitted to the controller in the synchronization process and avoid communication channel congestion. Second, a master-slave synchronization of neural networks with time-varying delays is constructed, where delays within neural networks and the ETC are simultaneous existence. The controller is updated by the ETC. By the Lyapunov stability theory, some sufficient criteria are obtained to ensure master-slave synchronization of neural networks. Finally, a numerical example and a tunnel diode circuit example are used to verify the validity of results obtained.
{"title":"Master-slave synchronization of neural networks with time-varying delays via the event-triggered control","authors":"Jun Zhou, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou","doi":"10.1080/13873954.2020.1777567","DOIUrl":"https://doi.org/10.1080/13873954.2020.1777567","url":null,"abstract":"ABSTRACT This paper investigates the problem of master-slave synchronization of neural networks with time-varying delays via the event-triggered control (ETC). First, the proposed ETC can effectively reduce the total amount of data transmitted to the controller in the synchronization process and avoid communication channel congestion. Second, a master-slave synchronization of neural networks with time-varying delays is constructed, where delays within neural networks and the ETC are simultaneous existence. The controller is updated by the ETC. By the Lyapunov stability theory, some sufficient criteria are obtained to ensure master-slave synchronization of neural networks. Finally, a numerical example and a tunnel diode circuit example are used to verify the validity of results obtained.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"357 - 373"},"PeriodicalIF":1.9,"publicationDate":"2020-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1777567","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43575855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-16DOI: 10.1080/13873954.2020.1771379
Yanhong Liu, Hui Lv, Bin Wang, Deyun Yang, Qiang Zhang
ABSTRACT In order to study whether haemoglobin (Hb) can replace peroxidase and has good catalytic properties. The key to exploring the characteristics of Hb peroxidase is to establish a suitable kinetic model, which is studied in this paper. First, according to the Hb catalytic reaction, a nonlinear system is established and improved. It is proved that the established system is in line with the practical significance. The stability of the original system is judged by analysing the stability of the simplified system. Then, considering the effect of time delay on Hb catalytic reaction, a nonlinear time-delay catalytic reaction system is obtained. For convenient application, the system is linearized using Taylor’s formula, and the dynamic characteristics of Hopf bifurcation are analysed. The response diagrams of three system are plotted by setting perturbation parameters, and their variations are observed to analyse the differences among them. The results show that the nonlinear time-delay system can better describe the characteristics of the catalytic reaction.
{"title":"Modelling and analysis of haemoglobin catalytic reaction kinetic system","authors":"Yanhong Liu, Hui Lv, Bin Wang, Deyun Yang, Qiang Zhang","doi":"10.1080/13873954.2020.1771379","DOIUrl":"https://doi.org/10.1080/13873954.2020.1771379","url":null,"abstract":"ABSTRACT In order to study whether haemoglobin (Hb) can replace peroxidase and has good catalytic properties. The key to exploring the characteristics of Hb peroxidase is to establish a suitable kinetic model, which is studied in this paper. First, according to the Hb catalytic reaction, a nonlinear system is established and improved. It is proved that the established system is in line with the practical significance. The stability of the original system is judged by analysing the stability of the simplified system. Then, considering the effect of time delay on Hb catalytic reaction, a nonlinear time-delay catalytic reaction system is obtained. For convenient application, the system is linearized using Taylor’s formula, and the dynamic characteristics of Hopf bifurcation are analysed. The response diagrams of three system are plotted by setting perturbation parameters, and their variations are observed to analyse the differences among them. The results show that the nonlinear time-delay system can better describe the characteristics of the catalytic reaction.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"306 - 321"},"PeriodicalIF":1.9,"publicationDate":"2020-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1771379","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42370330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-03DOI: 10.1080/13873954.2020.1759653
Yan-de Wang, Z. Kou, Guohua Cao
ABSTRACT In this paper, a mathematical model is presented to numerically simulate the dynamical responses in a multi-cable suspension platform taking into account the slack cables and guiding devices. The state change of the cable (slack versus tensioned) is considered and is described mathematically by a complementary condition equation, and the interactions between the guiding wheels and the shaft wall are described by the Heaviside step function. The Lagrange’s equation with constraints is used to derive the dynamic equations of the system, and a non-smooth generalized-α algorithm for non-smooth phenomena of multibody dynamics is applied to numerically solve the equations. The simulation results have shown the dynamic responses of the platform and the cable tension characters when different cables are excited by different longitudinal excitations. Moreover, the results have illustrated how the cable tension differences may affect the pressure on the shaft wall applied by the guiding devices.
{"title":"Dynamic modelling of a multi-cable driven parallel platform with guiding devices","authors":"Yan-de Wang, Z. Kou, Guohua Cao","doi":"10.1080/13873954.2020.1759653","DOIUrl":"https://doi.org/10.1080/13873954.2020.1759653","url":null,"abstract":"ABSTRACT In this paper, a mathematical model is presented to numerically simulate the dynamical responses in a multi-cable suspension platform taking into account the slack cables and guiding devices. The state change of the cable (slack versus tensioned) is considered and is described mathematically by a complementary condition equation, and the interactions between the guiding wheels and the shaft wall are described by the Heaviside step function. The Lagrange’s equation with constraints is used to derive the dynamic equations of the system, and a non-smooth generalized-α algorithm for non-smooth phenomena of multibody dynamics is applied to numerically solve the equations. The simulation results have shown the dynamic responses of the platform and the cable tension characters when different cables are excited by different longitudinal excitations. Moreover, the results have illustrated how the cable tension differences may affect the pressure on the shaft wall applied by the guiding devices.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"253 - 267"},"PeriodicalIF":1.9,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1759653","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48030761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-03DOI: 10.1080/13873954.2020.1754861
Zafer Mahmoud, Mohammad Reza Arvan, V. Nekoukar, M. Rezaei
ABSTRACT 6-RSS Stewart-Gough parallel manipulator contains six crank-rod limbs connecting the base and moving platforms to each other, forming a 6DOF manipulator. In this paper, we introduce a novel decoupled inverse dynamic model for this manipulator based on the Force Distribution Algorithm. The performance of the proposed model was evaluated in tracking a complex trajectory (of multiple segments with simultaneous translational and rotational motions) using feedback-linearization control in the joint space and compared with that of the Lagrangian inverse dynamic model. Results showed that this model leads to a better performance in feedback-linearization control, especially when the reference trajectory is quantized, and with less calculation burden in comparison with the Lagrangian model. The control system employing both models showed robustness against payload uncertainty on the moving platform (150% of the moving platform’s mass). The performance assessment and the robustness approval were performed in simulation using a Simscape model specifically built for this purpose in the Simulink environment.
{"title":"Trajectory-tracking of 6-RSS Stewart-Gough manipulator by feedback-linearization control using a novel inverse dynamic model based on the force distribution algorithm","authors":"Zafer Mahmoud, Mohammad Reza Arvan, V. Nekoukar, M. Rezaei","doi":"10.1080/13873954.2020.1754861","DOIUrl":"https://doi.org/10.1080/13873954.2020.1754861","url":null,"abstract":"ABSTRACT 6-RSS Stewart-Gough parallel manipulator contains six crank-rod limbs connecting the base and moving platforms to each other, forming a 6DOF manipulator. In this paper, we introduce a novel decoupled inverse dynamic model for this manipulator based on the Force Distribution Algorithm. The performance of the proposed model was evaluated in tracking a complex trajectory (of multiple segments with simultaneous translational and rotational motions) using feedback-linearization control in the joint space and compared with that of the Lagrangian inverse dynamic model. Results showed that this model leads to a better performance in feedback-linearization control, especially when the reference trajectory is quantized, and with less calculation burden in comparison with the Lagrangian model. The control system employing both models showed robustness against payload uncertainty on the moving platform (150% of the moving platform’s mass). The performance assessment and the robustness approval were performed in simulation using a Simscape model specifically built for this purpose in the Simulink environment.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"268 - 299"},"PeriodicalIF":1.9,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1754861","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48701956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-03DOI: 10.1080/13873954.2020.1762096
Shi-di Miao, Di Liu, Junfeng Ma, Feng Tian
ABSTRACT As the pace of global sustainable economic development accelerates, increasing attention has been brought to the reutilization of waste electronic resources (E-waste). As the leading manufacturer and consumer of electronic products, China has now become the largest producer of E-waste around the world. Considering the current state of recycling mode in China, Huawei Technologies Co. Ltd. (Huawei) took the lead in implementing a blended operation model of manufacturer-led recycling model (offline recycling, OffR) and retailer-led recycling model (online recycling, OnR). In order for the improvement of recycling efficiency for Huawei and other telecommunication companies, this paper constructs a closed-loop network model of mixed recycling (MR) between manufacturers and retailers based on contract, where manufacturers and retailers jointly recycle E-waste for the provision of E-waste to manufacturers for remanufacturing. In this paper, the MR model is compared against the OffR model and OnR model to evaluate the recycling allocation mechanism run by both manufacturer and retailer and then a contract-based, closed-loop network model of mixed recycling between manufacturers and retailers is developed on the basis of obtaining the optimal MR model. By means of simulation analysis, the optimal recycling allocation ratio between manufacturer and retailer is determined. The results obtained from this study are expected to help manufacturers and retailers with effective negotiation and cooperation, so as to improve the efficiency of E-waste recycling while promoting sustainable development and reducing the economic losses caused by price competition to the minimum. This research contributes to not only the waste management studies but also the recycling of E-waste in China and other countries.
{"title":"System dynamics modelling of mixed recycling mode based on contract: a case study of online and offline recycling of E-waste in China","authors":"Shi-di Miao, Di Liu, Junfeng Ma, Feng Tian","doi":"10.1080/13873954.2020.1762096","DOIUrl":"https://doi.org/10.1080/13873954.2020.1762096","url":null,"abstract":"ABSTRACT As the pace of global sustainable economic development accelerates, increasing attention has been brought to the reutilization of waste electronic resources (E-waste). As the leading manufacturer and consumer of electronic products, China has now become the largest producer of E-waste around the world. Considering the current state of recycling mode in China, Huawei Technologies Co. Ltd. (Huawei) took the lead in implementing a blended operation model of manufacturer-led recycling model (offline recycling, OffR) and retailer-led recycling model (online recycling, OnR). In order for the improvement of recycling efficiency for Huawei and other telecommunication companies, this paper constructs a closed-loop network model of mixed recycling (MR) between manufacturers and retailers based on contract, where manufacturers and retailers jointly recycle E-waste for the provision of E-waste to manufacturers for remanufacturing. In this paper, the MR model is compared against the OffR model and OnR model to evaluate the recycling allocation mechanism run by both manufacturer and retailer and then a contract-based, closed-loop network model of mixed recycling between manufacturers and retailers is developed on the basis of obtaining the optimal MR model. By means of simulation analysis, the optimal recycling allocation ratio between manufacturer and retailer is determined. The results obtained from this study are expected to help manufacturers and retailers with effective negotiation and cooperation, so as to improve the efficiency of E-waste recycling while promoting sustainable development and reducing the economic losses caused by price competition to the minimum. This research contributes to not only the waste management studies but also the recycling of E-waste in China and other countries.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"234 - 252"},"PeriodicalIF":1.9,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1762096","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42311682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-03DOI: 10.1080/13873954.2020.1757726
D. Zimmer
ABSTRACT Object-oriented formulation of thermal fluid streams often yields large non-linear equation systems whose numerical solution is difficult to achieve. This paper revisits the fundamental equations for thermal fluid streams and introduces a new term: the steady mass flow pressure . Using this term, the equations can be brought into a form where all non-linear computations are explicit. This enables a robust and object-oriented formulation of even complex architectures. The modelling of aircraft environmental control systems is presented as one possible application example.
{"title":"Robust object-oriented formulation of directed thermofluid stream networks","authors":"D. Zimmer","doi":"10.1080/13873954.2020.1757726","DOIUrl":"https://doi.org/10.1080/13873954.2020.1757726","url":null,"abstract":"ABSTRACT Object-oriented formulation of thermal fluid streams often yields large non-linear equation systems whose numerical solution is difficult to achieve. This paper revisits the fundamental equations for thermal fluid streams and introduces a new term: the steady mass flow pressure . Using this term, the equations can be brought into a form where all non-linear computations are explicit. This enables a robust and object-oriented formulation of even complex architectures. The modelling of aircraft environmental control systems is presented as one possible application example.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"204 - 233"},"PeriodicalIF":1.9,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1757726","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43135271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-03DOI: 10.1080/13873954.2020.1738498
Mahdi Sohrabi-Haghighat, Atefeh Deris
ABSTRACT The growth of cancer is still the focus of many research works in the scientific community. So far, various models have been introduced to analyse the behaviour of cancers, including the mathematical growth models such as Logistic, Gompertz and Bertalany. Despite the advances in the analysis of the cancer behaviour, the lack of definitive treatment of cancer disease indicates the need for new perspectives which are supported by more biological background. Recently, a model has been proposed, in which, the tumour growth is interpreted as the outcome of the competition of healthy and cancer cells over the available oxygen, nutrients and space. We have modified this model in order to provide the necessary preparations for wider use of the model in growth rate, growth curve and growth prediction of tumours. Meanwhile, the model is performed on some experimental data to show its capabilities.
{"title":"Growth rate, growth curve and growth prediction of tumour in the competitive model","authors":"Mahdi Sohrabi-Haghighat, Atefeh Deris","doi":"10.1080/13873954.2020.1738498","DOIUrl":"https://doi.org/10.1080/13873954.2020.1738498","url":null,"abstract":"ABSTRACT The growth of cancer is still the focus of many research works in the scientific community. So far, various models have been introduced to analyse the behaviour of cancers, including the mathematical growth models such as Logistic, Gompertz and Bertalany. Despite the advances in the analysis of the cancer behaviour, the lack of definitive treatment of cancer disease indicates the need for new perspectives which are supported by more biological background. Recently, a model has been proposed, in which, the tumour growth is interpreted as the outcome of the competition of healthy and cancer cells over the available oxygen, nutrients and space. We have modified this model in order to provide the necessary preparations for wider use of the model in growth rate, growth curve and growth prediction of tumours. Meanwhile, the model is performed on some experimental data to show its capabilities.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"193 - 203"},"PeriodicalIF":1.9,"publicationDate":"2020-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1738498","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42375740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：