| Abstract: |
| A cardiovascular-respiratory system (CVRS) model is developed to describe its response to different ergometric workloads. An optimal control for time-varying respectively constant workloads is obtained using the Euler-Lagrange formulation of the optimal control problem. Essential CVRS controls considered in the study are variations in the heart rate and the alveolar ventilation in which arterial pressure of CO2 is regulated close to 40 mmHg. Included in the cost functional are penalization terms to match the metabolic need for O2 and metabolic production of CO2 with O2- and CO2- transport by blood. Sensitivity analysis on the parameters of CVRS model under a constant ergonometric workload is performed to identify which are most/least influential to the arterial systemic pressure (Pas), for which experimental data are available. In addition to Pas, alveolar ventilation measurements are used to identify model parameters. |
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