Credibility analysis of a multi-constituent microstructurally-informed finite element model of arterial tissue
This thesis evaluates the credibility of a multi-constituent microstructurally-informed finite element model of arterial tissue. Understanding the link between arterial microstructure and mechanical function is essential for defining cardiovascular diseases like atherosclerosis and aneurysms. Representative volume element (RVE) models are increasingly used to explore this link by efficiently connecting microstructure to mechanics. However, many existing RVEs lack experimental calibration using tissue with selectively modified constituents, systematic validation across loading conditions, and biofidelic microstructural networks. Furthermore, there is limited understanding of how uncertainties in input parameters affect model predictions. Therefore, this study aims to assess and improve the credibility of an RVE model by addressing these gaps through detailed characterisation. The model is evaluated against experimental data from both native and enzymatically-treated tissue, and parameter sensitivity analyses are conducted.
To achieve this, uniaxial tensile tests were performed on native porcine aortic samples. Crucially, to isolate the mechanical roles of key constituents, samples were treated with the enzymes collagenase or elastase to deplete collagen or elastin, respectively. The resulting data calibrated and validated the RVE model, focusing on the collagen and elastin networks and the model’s anisotropic predictive capacity. Subsequently, a surrogate model based on an artificial neural network emulated the RVE’s mechanical response, enabling efficient Sobol' sensitivity analysis of six key microstructural, mechanical, and model parameters.
Enzymatic depletion confirmed distinct constituent roles: collagen-deficient tissue exhibited a linearised response with slight stiffening at high strains, whereas elastase-digested samples demonstrated increased compliance but lost structural integrity. RVE model validation emphasised the importance of accurately representing the anisotropic architecture. Furthermore, the sensitivity analysis revealed that uncertainties in six key input parameters substantially influence RVE output variance, with elastin properties predominantly governing low-strain behaviour and collagen-related parameters dictating high-strain responses.
The calibrated and validated microstructurally-informed RVE model can reliably predict aortic mechanics if tissue anisotropy is adequately accounted for. The sensitivity analysis provided crucial insights into which parameters most significantly impact model output variance. This will guide future efforts in model refinement and highlight parameters that require precise experimental characterisation to reduce predictive uncertainty. Furthermore, it will strengthen the RVE's potential as a credible tool in arterial biomechanics research by establishing a more robust, uncertainty-aware modelling framework.
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