A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth

Area of Science:

• Biomechanics
• Computational Biology
• Tissue Engineering

Background:

• Soft tissue adaptation occurs via growth and remodeling (G&R).
• Existing mathematical models often focus on either growth or remodeling independently.
• A unified model is needed to understand complex G&R phenomena.

Purpose of the Study:

• To develop a novel 3D mathematical model integrating growth and remodeling (G&R) for soft tissues.
• To simulate the adaptation of the human aorta towards a homeostatic state.
• To model the development and stabilization of fusiform aneurysms.

Main Methods:

• Combined concepts of collagen recruitment and orientation with a novel 3D growth model.
• Translated growth-induced volume changes into environmental interactions and shape changes.
• Implemented the G&R model in a 3D finite element package for simulation.

Main Results:

• The model successfully reproduced a homeostatic state for a human artery from a non-homeostatic starting point.
• Simulations showed realistic parameter sensitivity for arterial adaptation.
• The model simulated fusiform aneurysm development initiated by matrix degradation, with stabilization post-degradation.

Conclusions:

• The developed G&R model provides a robust framework for simulating soft tissue adaptation.
• The model accurately predicts arterial homeostasis and aneurysm stabilization.
• This approach aids in understanding tissue mechanics and designing experiments.