A new lumped parameter model for coronary blood flow, using nondimensional analysis
Abstract
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The studies of the coronary circulation hemodynamics are of great importance due to the high mortality and morbidity associated with coronary diseases. A few previous findings highlighted the importance of translational studies of the coronary hemodynamics, as well as creating neutral bases for comparison, which would help in applying the animal results to humans. In this study, a novel lumped-parameter nondimensional model to study the coronary hemodynamics has been proposed. The model has been characterized using few parameters and utilized recent findings to predict and study the coronary blood flow-pressure relationships. The parameters of the model were calculated using in vivo data obtained from ten healthy normal Yucatan mini-swine. The verification of the model, as well as the resulting parameters, was achieved by observation of the flow features and comparison with other studies. The parameters estimation algorithm involved an optimization process that produced the best possible fit between the predicted arterial flow and the experimental arterial flow with preserving a venous outflow physical constraint. The model was used to study the global (over the whole cardiac cycle) and the instantaneous (over the systolic and diastolic portions of the cardiac cycle) dynamic features of the relationships between the coronary blood flow and the mechanical cross-talk. In addition to the general hemodynamics studies, the model has been used to study the sensitivity of the coronary arterial flow to the characteristic parameters, both globally and instantaneously. The results showed that the nondimensional analysis is an efficient way to characterize the coronary hemodynamics. Moreover, the global and the instantaneous coronary flow are affected by different degrees when the characteristics parameters are perturbed.
Degree
Ph. D.
Thesis Department
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