Inverse Material Parameter Estimation of Patient Specific Finite Element Models at the Carotid Bifurcation: The Impact of Excluding the Zero Pressure Configuration and Residual Stress

Abstract

Abstract SummaryThe carotid bifurcation experiences a complex loading environment due to its anatomical structure. Previous in-vivo material parameter estimation methods often use simplified model geometries, isotropic hyperelastic constitutive equations or neglect key aspects of the vessel, such as the zero-pressure configuration or residual stress. These factors have independently been shown to alter the stress environment of the vessel wall. Characterising the location of high stress in the vessel wall has often been proposed as a potential indicator of structural weakness. However, excluding the afore-mentioned zero-pressure configuration, residual stress and patient specific material parameters can lead to an incorrect estimation of the true stress values observed, meaning stress alone as a risk indicator of rupture is insufficient. In this study, we investigate how the estimated material parameters and overall stress distributions in geometries of carotid bifurcations, extracted from in-vivo MR images, alter with the inclusion of the zero-pressure configuration and residual stress.This approach consists of the following steps: (1) geometry segmentation and hexahedral meshing from in-vivo MRI images at two known phases; (2) computation of the zero-pressure configuration and the associated residual stresses; (3) minimisation of an objective function built on the difference between the stress states of an “ almost true” stress field at two known phases and a “deformed” stress field by altering the input material parameters to determine patient specific material properties; and (4) comparison of the stress distributions throughout these carotid bifurcations for all cases with estimated material parameters. This numerical approach provides insights into the need for estimation of both the zero-pressure configuration and residual stress for accurate material property estimation and stress analysis for the carotid bifurcation, establishing the reliability of stress as a rupture risk metric.Graphical Abstract