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Updated: May 29, 2026

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
Published on: February 13, 2021
Modeling the impact of concomitant aortic stenosis and coarctation of the aorta on left ventricular workload
Z Keshavarz-Motamed1, J Garcia, P Pibarot
1Mechanical and Industrial Engineering, Concordia University, Montréal, Canada.
Insights
A new model estimates left ventricular (LV) workload in patients with coarctation of the aorta (COA) and aortic stenosis (AS) using non-invasive data. This tool aids in optimizing treatment sequence for these complex cardiovascular conditions.
Area of Science:
- Cardiovascular Physiology
- Biomedical Engineering
- Medical Modeling
Background:
- Coarctation of the aorta (COA) often coexists with aortic stenosis (AS).
- This dual condition imposes a significant double hemodynamic load on the left ventricle (LV).
- Accurate assessment of LV workload is crucial for effective patient management.
Purpose of the Study:
- To develop a lumped parameter model for analyzing the interaction between LV, COA, and AS.
- The model aims to utilize solely non-invasive data for comprehensive hemodynamic assessment.
- To quantify the impact of varying COA and AS severities on LV workload.
Main Methods:
- Developed a lumped parameter model incorporating LV, COA, AS, and arterial system dynamics.
- Formulated a method to calculate the instantaneous net pressure gradient across the COA.
- Validated model predictions against in vitro experimental results.
Main Results:
- LV stroke work increased significantly with combined AS and COA severity (0.98J to 2.15J).
- Flow rate across the COA decreased substantially with increasing COA severity (85% to 40%).
- Introduced non-invasive methods for estimating LV peak systolic pressure and workload.
Conclusions:
- A novel non-invasive lumped parameter model accurately assesses LV workload in patients with coexisting COA and AS.
- The model provides valuable insights for optimizing the sequence of surgical repair in these patients.
- This approach enhances the non-invasive evaluation of complex cardiovascular interactions.
Abstract:
Coarctation of the aorta (COA) is an obstruction of the aorta and is usually associated with bicuspid and tricuspid aortic valve stenosis (AS). When COA coexists with AS, the left ventricle (LV) is facing a double hemodynamic load: a valvular load plus a vascular load. The objective of this study was to develop a lumped parameter model, solely based on non-invasive data, allowing the description of the interaction between LV, COA, AS and the arterial system. First, a formulation describing the instantaneous net pressure gradient through the COA was introduced and the predictions were compared to in vitro results. The model was then used to determine LV work induced by coexisting AS and COA with different severities. The results show that LV stroke work varies from 0.98J (no-AS; no-COA) up to 2.15J (AS: 0.61cm(2)+COA: 90%). Our results also show that the proportion of the total flow rate that will cross the COA is significantly reduced with the increasing COA severity (from 85% to 40%, for a variation of COA severity from 0% to 90%, respectively). Finally, we introduced simple formulations capable of, non-invasively, estimating both LV peak systolic pressure and workload. As a conclusion, this study allowed the development of a lumped parameter model, based on non-invasive measurements, capable of accurately investigating the impact of coexisting AS and COA on LV workload. This model can be used to optimize the management of patients with COA and AS in terms of the sequence of lesion repair.
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