A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics

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dc.contributor.advisorSkatulla, Sebastianen_ZA
dc.contributor.authorMoodley, Kamlinen_ZA
dc.date.accessioned2017-01-18T07:22:38Z
dc.date.available2017-01-18T07:22:38Z
dc.date.issued2016en_ZA
dc.description.abstractWe are currently witnessing the advent of a revolutionary new tool for biomedical research. Complex mathematical models of "living cells" are being arranged into representative tissue assemblies and utilized to produce models of integrated tissue and organ function. This enables more sophisticated simulation tools that allows for greater insight into disease and guide the development of modern therapies. The development of realistic computer models of mechanical behaviour for soft biological tissues, such as cardiac tissue, is dependent on the formulation of appropriate constitutive laws and accurate identification of their material parameters. The main focus of this contribution is to investigate a Proper Orthogonal Decomposition with Interpolation (PODI) based method for inverse material parameter optimization in the field of cardiac mechanics. Material parameters are calibrated for a left ventricular and bi-ventricular human heart model during the diastolic filling phase. The calibration method combines a MATLAB-based Levenberg Marquardt algorithm with the in-house PODIbased software ORION. The calibration results are then compared against the full-order solution which is obtained using an in-house code based on the element-free Galerkin method, which is assumed to be the exact solution. The results obtained from this novel calibration method demonstrate that PODI provides the means to drastically reduce computation time but at the same time maintain a similar level of accuracy as provided by the conventional approach.en_ZA
dc.identifier.apacitationMoodley, K. (2016). <i>A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/22777en_ZA
dc.identifier.chicagocitationMoodley, Kamlin. <i>"A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 2016. http://hdl.handle.net/11427/22777en_ZA
dc.identifier.citationMoodley, K. 2016. A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Moodley, Kamlin AB - We are currently witnessing the advent of a revolutionary new tool for biomedical research. Complex mathematical models of "living cells" are being arranged into representative tissue assemblies and utilized to produce models of integrated tissue and organ function. This enables more sophisticated simulation tools that allows for greater insight into disease and guide the development of modern therapies. The development of realistic computer models of mechanical behaviour for soft biological tissues, such as cardiac tissue, is dependent on the formulation of appropriate constitutive laws and accurate identification of their material parameters. The main focus of this contribution is to investigate a Proper Orthogonal Decomposition with Interpolation (PODI) based method for inverse material parameter optimization in the field of cardiac mechanics. Material parameters are calibrated for a left ventricular and bi-ventricular human heart model during the diastolic filling phase. The calibration method combines a MATLAB-based Levenberg Marquardt algorithm with the in-house PODIbased software ORION. The calibration results are then compared against the full-order solution which is obtained using an in-house code based on the element-free Galerkin method, which is assumed to be the exact solution. The results obtained from this novel calibration method demonstrate that PODI provides the means to drastically reduce computation time but at the same time maintain a similar level of accuracy as provided by the conventional approach. DA - 2016 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2016 T1 - A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics TI - A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics UR - http://hdl.handle.net/11427/22777 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/22777
dc.identifier.vancouvercitationMoodley K. A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 2016 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/22777en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Civil Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherStructural Engineeringen_ZA
dc.titleA Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanicsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMEngen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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