Towards and Understanding of the Dynamics and Energy Efficiency of the Human Heart by Mathematical Modelling
(2007) In MSc ThesesDepartment of Automatic Control
- Abstract
- This thesis is focused on modelling the pumping of the human heart. The modelling is limited to the left heart. Flows through the left heart were visualized by pathlines, streamlines and curl from 3D-velocity data acquired using 3D-velocity encoded magnetic resonance imaging (MRI). A mathematical model was developed based on control volume analysis, 3D-flow analysis and the latest developments in cardiovascular physiology. The mathematical model was implemented in Matlab/Simulink. This model allows the pulmonary vein, mitral and aortic flows and the corresponding kinetic energy to be calculated based on data extracted from cine and flow MRI using image analysis for the first time. The knowledge gaps in the research field of cardiovascular... (More)
- This thesis is focused on modelling the pumping of the human heart. The modelling is limited to the left heart. Flows through the left heart were visualized by pathlines, streamlines and curl from 3D-velocity data acquired using 3D-velocity encoded magnetic resonance imaging (MRI). A mathematical model was developed based on control volume analysis, 3D-flow analysis and the latest developments in cardiovascular physiology. The mathematical model was implemented in Matlab/Simulink. This model allows the pulmonary vein, mitral and aortic flows and the corresponding kinetic energy to be calculated based on data extracted from cine and flow MRI using image analysis for the first time. The knowledge gaps in the research field of cardiovascular physiology made the theoretical identification of the system complex. A new way of interpreting the pumping mechanism by analysing concurrent events is introduced. A vortex in the left atrium is shown to store energy during systole. The return of the AV-plane during the fast filling phase is proposed to be influenced mostly by the kinetic energy of the retained flow and elastic strain energy of the heart and the large vessels. A high cardiac output experiment was also undertaken. This inspired to new theories concerning dynamic properties of the heart during exercise. In conclusion, the proposed approach enables quantification of the kinetic energy aspects of blood in human hearts. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/8847704
- author
- Hersenius, Patrik
- supervisor
- organization
- year
- 2007
- type
- H3 - Professional qualifications (4 Years - )
- subject
- publication/series
- MSc Theses
- report number
- TFRT-5787
- ISSN
- 0280-5316
- language
- English
- id
- 8847704
- date added to LUP
- 2016-03-17 13:13:20
- date last changed
- 2016-03-17 13:13:20
@misc{8847704, abstract = {{This thesis is focused on modelling the pumping of the human heart. The modelling is limited to the left heart. Flows through the left heart were visualized by pathlines, streamlines and curl from 3D-velocity data acquired using 3D-velocity encoded magnetic resonance imaging (MRI). A mathematical model was developed based on control volume analysis, 3D-flow analysis and the latest developments in cardiovascular physiology. The mathematical model was implemented in Matlab/Simulink. This model allows the pulmonary vein, mitral and aortic flows and the corresponding kinetic energy to be calculated based on data extracted from cine and flow MRI using image analysis for the first time. The knowledge gaps in the research field of cardiovascular physiology made the theoretical identification of the system complex. A new way of interpreting the pumping mechanism by analysing concurrent events is introduced. A vortex in the left atrium is shown to store energy during systole. The return of the AV-plane during the fast filling phase is proposed to be influenced mostly by the kinetic energy of the retained flow and elastic strain energy of the heart and the large vessels. A high cardiac output experiment was also undertaken. This inspired to new theories concerning dynamic properties of the heart during exercise. In conclusion, the proposed approach enables quantification of the kinetic energy aspects of blood in human hearts.}}, author = {{Hersenius, Patrik}}, issn = {{0280-5316}}, language = {{eng}}, note = {{Student Paper}}, series = {{MSc Theses}}, title = {{Towards and Understanding of the Dynamics and Energy Efficiency of the Human Heart by Mathematical Modelling}}, year = {{2007}}, }