The Impact of Left Ventricular Performance and Afterload on the Evaluation of Aortic Valve Stenosis: A 1D Mathematical Modeling Approach

The transaortic valvular pressure gradient (TPG) plays a central role in decision-making for patients suffering from severe aortic stenosis. However, the flow-dependence nature of the TPG makes the diagnosis of aortic stenosis challenging since the markers of cardiac performance and afterload present high physiological interdependence and thus, isolated effects cannot be measured directly in vivo. We used a validated 1D mathematical model of the cardiovascular system, coupled with a model of aortic stenosis, to assess and quantify the independent effect of the main left ventricular performance parameters (end-systolic (E-es) and end-diastolic (E-ed) elastance) and principal afterload indices (total vascular resistance (TVR) and total arterial compliance (TAC)) on the TPG for different levels of aortic stenosis. In patients with critical aortic stenosis (aortic valve area (AVA) <= 0.6 cm(2)), a 10% increase of E-ed from the baseline value was associated with the most important effect on the TPG (-5.6 +/- 0.5 mmHg, p < 0.001), followed by a similar increase of E-es (3.4 +/- 0.1 mmHg, p < 0.001), in TAC (1.3 +/- 0.2 mmHg, p < 0.001) and TVR (-0.7 +/- 0.04 mmHg, p < 0.001). The interdependence of the TPG left ventricular performance and afterload indices become stronger with increased aortic stenosis severity. Disregarding their effects may lead to an underestimation of stenosis severity and a potential delay in therapeutic intervention. Therefore, a comprehensive evaluation of left ventricular function and afterload should be performed, especially in cases of diagnostic challenge, since it may offer the pathophysiological mechanism that explains the mismatch between aortic severity and the TPG.

Automated summary

The transaortic valvular pressure gradient (TPG) is important for decision-making in severe aortic stenosis patients. However, the flow-dependence nature of TPG makes diagnosis challenging. A mathematical model was used to assess the independent effects of left ventricular performance and afterload on TPG in different levels of aortic stenosis. In patients with critical aortic stenosis, the increase of end-diastolic elastance had the most significant effect on TPG, followed by end-systolic elastance, total arterial compliance, and total vascular resistance. The interdependence of TPG, left ventricular performance, and afterload becomes stronger with increased aortic stenosis severity.