Aurelio de los Reyes V

• 
  Controls of Cardiovascular-Respiratory System under Ergometric Workload
  Aurelio de los Reyes V

  A model of the human cardiovascular-respiratory system (CVRS) is developed to describe its response to various ergometric workloads. An optimal control for time-varying workloads is obtained by using the Euler-Lagrange formulation of the optimal control problem. Variations in the heart rate and the alveolar ventilation are considered essential controls of the CVRS in which arterial pressure of CO2 is regulated close to 40 mmHg. Penalization terms are also included in the cost functional to match the metabolic need for O2 and metabolic production of CO2 with O2- and CO2- transport by blood. In this work, 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, for which experimental data are available. Three different methods are considered - traditional sensitivity analysis, partial rank correlation (PRC) and extended Fourier amplitude sensitivity test (eFAST) analysis. For each of the three methods, a ranking of parameters is obtained according to sensitivity and a set of five parameters across the three methods is identified. Furthermore, parameter estimates are obtained on different datasets and indicated good fitting results.