Cardiodynamic conditions for the linearity of preload recruitable stroke work

Studies reported in the literature show that the stroke work (SW) versus end-diastolic volume (Ved) relationship, namely, the preload recruitable stroke work relation (PRSW), is experimentally linear in closed-chest dog hearts and its slope reflects left ventricular contractility. We considered the theoretical cardiodynamic conditions necessary for the linearity of the SW-Ved relation by utilizing ventricular end-systolic elastance, Emax (ventricular contractility), and effective arterial elastance, Ea (arterial afterload). We simulated the SW-Ved relation, using four theoretical models of the left ventricle, as follows: Ea is constant and the end-systolic pressure-volume relation (ESPVR) is linear (model 1), or nonlinear (model 2), and Ea is variable and ESPVR is linear (model 3), or nonlinear (model 4). The results show that the SW-Ved relation can be linear in both linear and nonlinear ESPVR models (models 3 and 4) only when Ea is variable. In these models, end-systolic pressure (Pes) and Ea should gradually fall, maintaining the stroke volume (SV) relatively constant with decreases in Ved until the low end of the physiological Ved range. Then, Ea should rise sharply so that Pes does not fall below the critical level. These results suggest that the autoregulation mechanisms of an intact animal operate to adapt the arterial afterload against acute changes in LV preload, maintaining cardiac output and coronary artery pressure. Such mechanisms may thus produce a linear SW-Ved relation over a wide range of conditions.