AN APPLICATION OF OPTIMAL CONTROL THEORY FOR HEMODYNAMICAL CHANGES IN CARDIOVASCULAR SYSTEM EVOKED BY ALTERING AFTERLOAD IMPEDANCE

An optimal control theory was applied to explain hemodynamical changes in cardiovascular system particularly with changes in afterload and work of ventricle. The performance function minimized involved the rate of change in aortic flow rate, external work, and potential energy of ventricle. The arte...

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Published inBaiomekanizumu Gakkai shi Vol. 18; no. 2; pp. 105 - 113
Main Authors HIRAYAMA, Hirohumi, TAKEUCHI, Norio, FUKUYAMA, Yuzo
Format Journal Article
LanguageEnglish
Published Society of Biomechanisms 1994
Subjects
Arterial circulation
Boundary condition problem
Optimal control
Pressure curve
Ventriclar work
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Summary:An optimal control theory was applied to explain hemodynamical changes in cardiovascular system particularly with changes in afterload and work of ventricle. The performance function minimized involved the rate of change in aortic flow rate, external work, and potential energy of ventricle. The arterial system was expressed by wind kessel model with stroke volume constraint. Theoretical ventricular pressure and aortic flow curves coincided with reported experimental curves. The peak ventricular pressure increased with resistance and decreased with aortic compliance while the peak flow rate decreased with resistance and compliance which were consistent with reported experimental data. The regulation of the potential energy and the external work influenced seriously on aortic flow at any kind of afterload. Present investigation showed that cardiovascular system operates at least under the optimal control principle minimizing the work of ventricle and the rate of change in arterial flow.
ISSN:0285-0885
DOI:10.3951/sobim.18.105