Material parameter identification for modelling the left ventricle in the healthy state
| dc.contributor.advisor | Skatulla, Sebastian | en_ZA |
| dc.contributor.author | Essack, Mohammed Asaad | en_ZA |
| dc.date.accessioned | 2014-10-21T13:38:53Z | |
| dc.date.available | 2014-10-21T13:38:53Z | |
| dc.date.issued | 2014 | en_ZA |
| dc.description | Includes bibliographical references. | en_ZA |
| dc.description.abstract | An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by the active stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adaptedfrom the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by theactive stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adapted from the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by the active stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adaptedfrom the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by the active stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adapted from the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. | en_ZA |
| dc.identifier.apacitation | Essack, M. A. (2014). <i>Material parameter identification for modelling the left ventricle in the healthy state</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/8680 | en_ZA |
| dc.identifier.chicagocitation | Essack, Mohammed Asaad. <i>"Material parameter identification for modelling the left ventricle in the healthy state."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 2014. http://hdl.handle.net/11427/8680 | en_ZA |
| dc.identifier.citation | Essack, M. 2014. Material parameter identification for modelling the left ventricle in the healthy state. University of Cape Town. | en_ZA |
| dc.identifier.ris | TY - Thesis / Dissertation AU - Essack, Mohammed Asaad AB - An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by the active stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adaptedfrom the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by theactive stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adapted from the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by the active stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adaptedfrom the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. An idealized truncated ellipsoidal model, was used to simulate a healthy canine left ventricle. Passive behaviour of the myocardium was modelled using the constitutive model of Usyk. In addition, active behaviour of the myocardium was modelled by the active stress law of Guccione. Furthermore, the load faced by the left ventricle in ejecting blood into the arterial system, was modelled with the three element Windkessel model of Westerhof. The model was calibrated to pressure-volume data, which was adapted from the work of Kerckhoffs. The projected Levenberg-Marquardt algorithm was used to identify material parameters. Identification of the anisotropic constants in the model of Usyk proved to be difficult, with the calibration algorithm often converging to parameter values that produced numerical instability. DA - 2014 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2014 T1 - Material parameter identification for modelling the left ventricle in the healthy state TI - Material parameter identification for modelling the left ventricle in the healthy state UR - http://hdl.handle.net/11427/8680 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/8680 | |
| dc.identifier.vancouvercitation | Essack MA. Material parameter identification for modelling the left ventricle in the healthy state. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 2014 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/8680 | en_ZA |
| dc.language.iso | eng | en_ZA |
| dc.publisher.department | Department of Civil Engineering | en_ZA |
| dc.publisher.faculty | Faculty of Engineering and the Built Environment | |
| dc.publisher.institution | University of Cape Town | |
| dc.title | Material parameter identification for modelling the left ventricle in the healthy state | en_ZA |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationname | MSc | en_ZA |
| uct.type.filetype | Text | |
| uct.type.filetype | Image | |
| uct.type.publication | Research | en_ZA |
| uct.type.resource | Thesis | en_ZA |
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