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A homogenized constrained mixture model of cardiac growth and remodeling: Analyzing mechanobiological stability and reversal

2022/03/23 by Amadeus M. Gebauer, Martin R. Pfaller, Gebauer, Amadeus M. +7
Engineering · Medicine · #Biology #Cardiac growth and remodeling #Cardiovascular Function and Risk Factors #Computational modeling #Elasticity and Material Modeling #Engineering and Applied Operations #Homogenized constrained mixture model #Hypertension #Life Sciences #Mechanobiology #Tissue Engineering and Regenerative Medicine

paper · pdf · doi:10.15480/882.8853

openalex publication_date 2022/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Cardiac growth and remodeling (G&R) patterns change ventricular size, shape, and function both globally and locally. Biomechanical, neurohormonal, and genetic stimuli drive these patterns through changes in myocyte dimension and fibrosis. We propose a novel microstructure-motivated model that predicts organ-scale G&R in the heart based on the homogenized constrained mixture theory. Previous models, based on the kinematic growth theory, reproduced consequences of G&R in bulk myocardial tissue by prescribing the direction and extent of growth but neglected underlying cellular mechanisms. In our model, the direction and extent of G&R emerge naturally from intra- and extracellular turnover processes in myocardial tissue constituents and their preferred homeostatic stretch state. We additionally propose a method to obtain a mechanobiologically equilibrated reference configuration. We test our model on an idealized 3D left ventricular geometry and demonstrate that our model aims to maintain tensional homeostasis in hypertension conditions. In a stability map, we identify regions of stable and unstable G&R from an identical parameter set with varying systolic pressures and growth factors. Furthermore, we show the extent of G&R reversal after returning the systolic pressure to baseline following stage 1 and 2 hypertension. A realistic model of organ-scale cardiac G&R has the potential to identify patients at risk of heart failure, enable personalized cardiac therapies, and facilitate the optimal design of medical devices.

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