Numerical Optimal Control of Turbo Dynamic Ventricular Assist Devices
The current paper presents a methodology for the derivation of optimal operating strategies for turbo dynamic ventricular assist devices (tVADs). In current clinical practice, tVADs are typically operated at a constant rotational speed, resulting in a blood flow with a low pulsatility. Recent resear...
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| Format: | Article |
| Language: | English |
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MDPI AG
2013-12-01
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| Series: | Bioengineering |
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| Online Access: | http://www.mdpi.com/2306-5354/1/1/22 |
| _version_ | 1797766684949348352 |
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| author | Raffael Amacher Jonas Asprion Gregor Ochsner Hendrik Tevaearai Markus J. Wilhelm André Plass Alois Amstutz Stijn Vandenberghe Marianne Schmid Daners |
| author_facet | Raffael Amacher Jonas Asprion Gregor Ochsner Hendrik Tevaearai Markus J. Wilhelm André Plass Alois Amstutz Stijn Vandenberghe Marianne Schmid Daners |
| author_sort | Raffael Amacher |
| collection | DOAJ |
| description | The current paper presents a methodology for the derivation of optimal operating strategies for turbo dynamic ventricular assist devices (tVADs). In current clinical practice, tVADs are typically operated at a constant rotational speed, resulting in a blood flow with a low pulsatility. Recent research in the field has aimed at optimizing the interaction between the tVAD and the cardiovascular system by using predefined periodic speed profiles. In the current paper, we avoid the limitation of using predefined profiles by formulating an optimal-control problem based on a mathematical model of the cardiovascular system and the tVAD. The optimal-control problem is solved numerically, leading to cycle-synchronized speed profiles, which are optimal with respect to an arbitrary objective. Here, an adjustable trade-off between the maximization of the flow through the aortic valve and the minimization of the left-ventricular stroke work is chosen. The optimal solutions perform better than constant-speed or sinusoidal-speed profiles for all cases studied. The analysis of optimized solutions provides insight into the optimized interaction between the tVAD and the cardiovascular system. The numerical approach to the optimization of this interaction represents a powerful tool with applications in research related to tVAD control. Furthermore, patient-specific, optimized VAD actuation strategies can potentially be derived from this approach. |
| first_indexed | 2024-03-12T20:28:44Z |
| format | Article |
| id | doaj.art-dccde7918122453ab6214d77f3030cad |
| institution | Directory Open Access Journal |
| issn | 2306-5354 |
| language | English |
| last_indexed | 2024-03-12T20:28:44Z |
| publishDate | 2013-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Bioengineering |
| spelling | doaj.art-dccde7918122453ab6214d77f3030cad2023-08-02T00:21:02ZengMDPI AGBioengineering2306-53542013-12-0111224610.3390/bioengineering1010022bioengineering1010022Numerical Optimal Control of Turbo Dynamic Ventricular Assist DevicesRaffael Amacher0Jonas Asprion1Gregor Ochsner2Hendrik Tevaearai3Markus J. Wilhelm4André Plass5Alois Amstutz6Stijn Vandenberghe7Marianne Schmid Daners8Institute for Dynamic Systems and Control, ETH Zurich, Zurich 8092, SwitzerlandInstitute for Dynamic Systems and Control, ETH Zurich, Zurich 8092, SwitzerlandInstitute for Dynamic Systems and Control, ETH Zurich, Zurich 8092, SwitzerlandClinic for Cardiovascular Surgery, Bern University Hospital (Inselspital) and University of Bern, Bern 3012, SwitzerlandClinic for Cardiovascular Surgery, University Hospital Zurich, Zurich 8091, SwitzerlandClinic for Cardiovascular Surgery, University Hospital Zurich, Zurich 8091, SwitzerlandInstitute for Dynamic Systems and Control, ETH Zurich, Zurich 8092, SwitzerlandInstitute for Dynamic Systems and Control, ETH Zurich, Zurich 8092, SwitzerlandInstitute for Dynamic Systems and Control, ETH Zurich, Zurich 8092, SwitzerlandThe current paper presents a methodology for the derivation of optimal operating strategies for turbo dynamic ventricular assist devices (tVADs). In current clinical practice, tVADs are typically operated at a constant rotational speed, resulting in a blood flow with a low pulsatility. Recent research in the field has aimed at optimizing the interaction between the tVAD and the cardiovascular system by using predefined periodic speed profiles. In the current paper, we avoid the limitation of using predefined profiles by formulating an optimal-control problem based on a mathematical model of the cardiovascular system and the tVAD. The optimal-control problem is solved numerically, leading to cycle-synchronized speed profiles, which are optimal with respect to an arbitrary objective. Here, an adjustable trade-off between the maximization of the flow through the aortic valve and the minimization of the left-ventricular stroke work is chosen. The optimal solutions perform better than constant-speed or sinusoidal-speed profiles for all cases studied. The analysis of optimized solutions provides insight into the optimized interaction between the tVAD and the cardiovascular system. The numerical approach to the optimization of this interaction represents a powerful tool with applications in research related to tVAD control. Furthermore, patient-specific, optimized VAD actuation strategies can potentially be derived from this approach.http://www.mdpi.com/2306-5354/1/1/22numerical optimal controlturbo dynamic blood pumpventricular assist devicecardiovascular systemspeed modulation |
| spellingShingle | Raffael Amacher Jonas Asprion Gregor Ochsner Hendrik Tevaearai Markus J. Wilhelm André Plass Alois Amstutz Stijn Vandenberghe Marianne Schmid Daners Numerical Optimal Control of Turbo Dynamic Ventricular Assist Devices Bioengineering numerical optimal control turbo dynamic blood pump ventricular assist device cardiovascular system speed modulation |
| title | Numerical Optimal Control of Turbo Dynamic Ventricular Assist Devices |
| title_full | Numerical Optimal Control of Turbo Dynamic Ventricular Assist Devices |
| title_fullStr | Numerical Optimal Control of Turbo Dynamic Ventricular Assist Devices |
| title_full_unstemmed | Numerical Optimal Control of Turbo Dynamic Ventricular Assist Devices |
| title_short | Numerical Optimal Control of Turbo Dynamic Ventricular Assist Devices |
| title_sort | numerical optimal control of turbo dynamic ventricular assist devices |
| topic | numerical optimal control turbo dynamic blood pump ventricular assist device cardiovascular system speed modulation |
| url | http://www.mdpi.com/2306-5354/1/1/22 |
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