Analysis of left ventricular function by optimization models
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School of Science |
Doctoral thesis (article-based)
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Author
Date
1988
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Mcode
Degree programme
Language
en
Pages
30
Series
Research reports / Helsinki University of Technology. Systems Analysis Laboratory, A27
Abstract
The development of a new hierarchical optimization model for explaining left ventricular function is summarized. In the model, arterial load is described by three linear time-invariant differential equations. End-diastolic volume, linear end-systolic pressure-volume relation, heart rate, and nominal ejection time are given. Under these constraints, ventricular function is described by optimality criteria that are based on minimizing an index of myocardial oxygen consumption per beat. Also forces developed during ejection and ventricular efficiency are taken into account in the cost functions of the model. The model predicts ventricular stroke volume, time courses of root aortic flow and pressure, and ejection time. These predictions are in accordance with experimental data from an isolated canine heart preparation. In the measurements analyzed, arterial load has been changed while end-diastolic volume, contractility, and heart rate have been kept constant. Thus the analysis shows that the left ventricular response to a change in arterial load can be predicted by an optimization model. The results also suggest that energy economy and efficiency are essential features of left ventricular function.Description
Keywords
aortic-ventricular coupling, matching, ventricle, arterial load, aortic flow, aortic pressure, left ventricular stroke volume, myocardial oxygen consumption, ventricular efficiency, pressure-volume relation, heart
Other note
Parts
- [Publication 1]: R.P. Hämäläinen and J.J.Hämäläinen, and U.Miekkala, “Optimal control modelling of ventricular ejection - do the end point conditions dominate the performance criteria?" in Modelling and Data Analysis in Biotechnology and Medical Engineering, G. C. Vansteenkiste and P.C.Young, Eds. Amsterdam: North-Holland, 1983, pp.151-162.
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[Publication 2]: R.P. Hämäläinen and J.J. Hämäläinen, “On the minimum work criterion in optimal control models of left-ventricular ejection," IEEE Trans. Biomed. Eng., vol. BME-32, pp. 951-956, 1985.
DOI: 10.1109/TBME.1985.325645 View at publisher
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[Publication 3]: J.J. Hämäläinen and R.P. Hämäläinen, “Energy cost minimization in left ventricular ejection: an optimal control model,” Modeling Methodology Forum, J. Appl. Physiol. ,vol. 61, pp. 1972-1979, 1986.
DOI: 10.1152/jappl.1986.61.5.1972 View at publisher
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[Publication 4]: J.J. Hämäläinen, “Optimal stroke volume in left ventricular ejection,” Systems Analysis Lab., Helsinki Univ. Techn., Rep. A26, 1988. Published later as journal article: J. J. Hamalainen, "Optimal stroke volume in left-ventricular ejection," in IEEE Transactions on Biomedical Engineering, vol. 36, no. 2, pp. 172-182, Feb. 1989.
DOI: 10.1109/10.16464 View at publisher
- [Publication 5]: J.J. Hämäläinen, “A hierarchical optimization model of left ventricular ejection," Systems Analysis Lab., Helsinki Univ. Techn., Rep. A19, 1988. (revised version of report A19, May 1987). Full text in Aaltodoc: http://urn.fi/URN:NBN:fi:aalto-202101281676.
