# Assessment of wall stresses and mechanical heart power in the left ventricle: Finite element modeling versus Laplace analysis

## TL;DR

This study compares finite element modeling and Laplace analysis for assessing wall stresses and mechanical power in the left ventricle of patients with aortic stenosis, highlighting the superior accuracy of FE models.

## Contribution

It demonstrates that patient-specific finite element models provide more accurate assessments of LV stresses and power than Laplace-based methods in clinical settings.

## Key findings

- Laplace estimates approximate global mean stress but miss spatial heterogeneity.
- FE models accurately capture stress and power distribution in the LV wall.
- Laplace methods are less accurate for assessing mechanical power.

## Abstract

Introduction: Stenotic aortic valve disease (AS) causes pressure overload of the left ventricle (LV) that may trigger adverse remodeling and precipitate progression towards heart failure (HF). As myocardial energetics can be impaired during AS, LV wall stresses and biomechanical power provide a complementary view of LV performance that may aide in better assessing the state of disease. Objectives: Using a high-resolution electro-mechanical (EM) in silico model of the LV as a reference, we evaluated clinically feasible Laplace-based methods for assessing global LV wall stresses and biomechanical power. Methods: We used N = 4 in silico finite element (FE) EM models of LV and aorta of patients suffering from AS. All models were personalized with clinical data under pre-treatment conditions. LV wall stresses and biomechanical power were computed accurately from FE kinematic data and compared to Laplace-based estimation methods which were applied to the same FE model data. Results and Conclusion: Laplace estimates of LV wall stress are able to provide a rough approximation of global mean stress in the circumferential-longitudinal plane of the LV. However, according to FE results spatial heterogeneity of stresses in the LV wall is significant, leading to major discrepancies between local stresses and global mean stress. Assessment of mechanical power with Laplace methods is feasible, but these are inferior in accuracy compared to FE models. The accurate assessment of stress and power density distribution in the LV wall is only feasible based on patient-specific FE modeling.