Hemodynamics of coronary sinus occlusion: a linear model

The coronary sinus occlusion pressure exhibits complicated frequency characteristics which can be modeled by either a nonlinear system approach or a high-order LTI (linear time-invariant) system approach. The LTI system presents a superior modeling methodology, due to the applicability of powerful analytical tools such as Fourier analysis. Using linear system identification techniques, a fifth-order LTI system was obtained to characterize coronary sinus occlusion pressure waveforms. Linear systems of lower order were found to have insufficient degree of freedom to model the hemodynamics of the coronary sinus occlusion. The resulting model from the systematic identification process was stable within a broad range of variations of heart rate and time constant of the coronary sinus occlusion pressure. This model provides a mathematical basis to study distributive properties in the coronary venous circulation and to optimize various treatment procedures of myocardium diseases via the coronary sinus