Model-Based Comparison of the Normal and Fontan Circulatory Systems

Abstract

Background: Every year, approximately 1,000 Fontan operations are performed in the United States. Transplant-free, 30-year survival is only 50%. Although some performance characteristics may be universal among Fontan survivors, others may be patient specific and tunable; in either case, a quantitatively rigorous understanding of the Fontan circulatory arrangement would facilitate improvements in patient surveillance and management. Methods: To create a computational model of a normal two-year-old and a two-year-old patient with hypoplastic left heart syndrome (HLHS) following staged surgical palliations, we extensively modified the lumped parameter model developed by Clark, a multicompartment model of both pulmonary and systemic circulations. Results: With appropriately scaled parameter values, we achieved a maximum relative error (against target values for clinically realistic hemodynamic variables for the normal two-year-old) of 2.8% and an average relative error of 0.9%. Employing the model of a Fontan operation, we achieved a maximum relative error of 2.0% and the average relative error of 0.8%. Conclusions: Even with >200 model parameters, once we identified an acceptable set of values for the normal, only 12 required modification in order to attain clinically plausible hemodynamics in the HLHS after Fontan. When placed within the broad context of our extensive model, the impact on cardiac output of the resistance of the total cavopulmonary connection is found to be significantly affected by ventricular elastance and to be much lower in the two-year-old than in patients with markedly lower end-diastolic elastance (higher end-diastolic compliance).