Biomechanical modelling and simulation of soft tissues using fractional memristive elements
Само за регистроване кориснике
2015
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
One of the main challenges in biomechanics is the modelling of soft tissues. The theory of fractional calculus is a well-adapted tool to the modelling of many physical phenomena, allowing the description to take into account some peculiarities that classical integer-order model simply neglect. Beside, memristive systems have a wide range of applications in modeling of the bioelectrical properties of human skin, human blood, storage, neural networks, chaotic systems and so on. In this work, we use the concept of fractional order memristive elements for biomehanical modeling of soft tissues, here bioelectrical properties of human skin as
well as human blood. In literature, some models of human skin based on classical memristive approach are obtained but further improvements to the memristive models are possible where computational models are developed and presented. Further, we are interested in step input response for proposed Cole impedance models excited by a step current. Suitable ...numerical aproximations of inverse Laplace transform are used with respect to the simulation of the corresponding fractional (integro)-differential equations.
Кључне речи:
Soft tissue / Memristive elements / Fractional calculus / Circuit elementsИзвор:
Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015, 2015, 1-10Издавач:
- University of Thessaly Press
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Cajić, Milan AU - Djurović, Nikola PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6452 AB - One of the main challenges in biomechanics is the modelling of soft tissues. The theory of fractional calculus is a well-adapted tool to the modelling of many physical phenomena, allowing the description to take into account some peculiarities that classical integer-order model simply neglect. Beside, memristive systems have a wide range of applications in modeling of the bioelectrical properties of human skin, human blood, storage, neural networks, chaotic systems and so on. In this work, we use the concept of fractional order memristive elements for biomehanical modeling of soft tissues, here bioelectrical properties of human skin as well as human blood. In literature, some models of human skin based on classical memristive approach are obtained but further improvements to the memristive models are possible where computational models are developed and presented. Further, we are interested in step input response for proposed Cole impedance models excited by a step current. Suitable numerical aproximations of inverse Laplace transform are used with respect to the simulation of the corresponding fractional (integro)-differential equations. PB - University of Thessaly Press C3 - Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015 T1 - Biomechanical modelling and simulation of soft tissues using fractional memristive elements EP - 10 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_6452 ER -
@conference{ author = "Lazarević, Mihailo and Cajić, Milan and Djurović, Nikola", year = "2015", abstract = "One of the main challenges in biomechanics is the modelling of soft tissues. The theory of fractional calculus is a well-adapted tool to the modelling of many physical phenomena, allowing the description to take into account some peculiarities that classical integer-order model simply neglect. Beside, memristive systems have a wide range of applications in modeling of the bioelectrical properties of human skin, human blood, storage, neural networks, chaotic systems and so on. In this work, we use the concept of fractional order memristive elements for biomehanical modeling of soft tissues, here bioelectrical properties of human skin as well as human blood. In literature, some models of human skin based on classical memristive approach are obtained but further improvements to the memristive models are possible where computational models are developed and presented. Further, we are interested in step input response for proposed Cole impedance models excited by a step current. Suitable numerical aproximations of inverse Laplace transform are used with respect to the simulation of the corresponding fractional (integro)-differential equations.", publisher = "University of Thessaly Press", journal = "Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015", title = "Biomechanical modelling and simulation of soft tissues using fractional memristive elements", pages = "10-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_6452" }
Lazarević, M., Cajić, M.,& Djurović, N.. (2015). Biomechanical modelling and simulation of soft tissues using fractional memristive elements. in Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015 University of Thessaly Press., 1-10. https://hdl.handle.net/21.15107/rcub_machinery_6452
Lazarević M, Cajić M, Djurović N. Biomechanical modelling and simulation of soft tissues using fractional memristive elements. in Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015. 2015;:1-10. https://hdl.handle.net/21.15107/rcub_machinery_6452 .
Lazarević, Mihailo, Cajić, Milan, Djurović, Nikola, "Biomechanical modelling and simulation of soft tissues using fractional memristive elements" in Proceedings of 8th GRACM International Congress on Computational Mechanics,Volos,Greece,12 July – 15 July 2015, University of Thessaly Press 2015 (2015):1-10, https://hdl.handle.net/21.15107/rcub_machinery_6452 .