A set of linear time-variant dynamic models for the interactive respiratory/cardiovascular mechanism is constructed and analyzed in this work. By using equivalent electric circuits for heart/blood and lung/air subsystems, the dynamics of cardiovascular subsystem and respiration cycle are established. In order to verify the validity of the dynamic models, numerical simulations and analysis on heart-lung interactions, including the valvular closure incompetence and pulmonary obstruction, are presented and compared with the empirical reports in literature. The derived dynamics of heart-lung interactions can be realized and examined in the biomechanical and medical engineering fields. In addition, the dynamic models can also be used for the model-based controller synthesis in medical instrumentations, for example, the extracorporeal membrane oxygenation, to retain the function of blood circulation and/or respiration by artificial intelligence.
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