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Updated: Jun 16, 2026

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
Published on: February 13, 2021
Mathematical modelling to identify patients who should not undergo left ventricle remodelling surgery
Richard Warwick1, Mark Pullan, Michael Poullis
1Liverpool Heart and Chest Hospital, Thomas Drive, Liverpool, L14 3PE, UK.
Insights
Left ventricle volume reduction surgery (LVVRS) can be hazardous for dilated cardiomyopathy patients, decreasing cardiac output. However, for left ventricular aneurysm, LVVRS can significantly improve cardiac output and ejection fraction.
Area of Science:
- Cardiovascular Surgery
- Mathematical Modeling
- Cardiac Physiology
Background:
- Left Ventricle Volume Reduction Surgery (LVVRS) is a procedure aimed at improving cardiac function.
- The outcomes of LVVRS can vary significantly depending on the underlying cardiac condition.
- Predictive modeling is crucial for patient selection and optimizing surgical outcomes.
Purpose of the Study:
- To develop a mathematical model to predict cardiac output after LVVRS.
- To differentiate surgical candidacy for LVVRS in patients with dilated cardiomyopathy (DCM) versus left ventricular aneurysm (LVA).
- To assess the impact of LVVRS on cardiac output in different cardiac pathologies.
Main Methods:
- Development of a mathematical model simulating cardiac output.
- Inclusion of patient parameters such as left ventricular diastolic volume (LVDV), ejection fraction (EF), and heart rate.
- Evaluation of two distinct clinical scenarios: DCM and LVA.
Main Results:
- In DCM, LVVRS led to a decrease in cardiac output (0.7 l/min) with unchanged EF.
- In LVA, LVVRS resulted in a significant increase in EF (to 56%) and doubled cardiac output.
- The model demonstrated that LVVRS is potentially hazardous in DCM but beneficial in LVA.
Conclusions:
- LVVRS carries significant risks for patients with DCM, as supported by registry data.
- LVVRS can lead to marked improvements in cardiac output for patients with LVA.
- Preoperative modeling of LV resection extent can predict postoperative cardiac output, aiding surgical decision-making.
Abstract:
A mathematical model was developed to predict the cardiac output post left ventricle volume reduction surgery (LVVRS) to establish who should not undergo surgery. Two scenarios were evaluated: dilated cardiomyopathy (DCM), and left ventricular wall aneurysm (LVA). In DCM, a left ventricular diastolic volume (LVDV) of 380 ml, ejection fraction (EF) of 15%, and a heart rate of 80, produces a cardiac output of 4.5 l/min. After LVVRS for DCM to reduce the LV volume to 315 ml, the EF is unchanged, but the cardiac output drops by 0.7 l/min. In LV aneurysms, a LVDV of 380 ml, EF of 15%, and a heart rate of 80, produces a cardiac output of 4.5 l/min. After LVVRS for LVA reducing the LV volume to 320 ml, the EF increases to 56%, and the predicted cardiac output doubles. LVVRS is potentially very hazardous in the setting of DCM, confirmed by the international registry report and the Surgical Treatment for Ischemic Heart Failure Trial. However, in the setting of LVA, the surgery can result in marked improvement in cardiac output. The effect on postoperative cardiac output, due to the extent of LV resection can potentially be modelled for preoperatively.
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