How to implement constrained mixture growth and remodeling algorithms for soft biological tissues

Maes, Lauranne; Famaey, Nele

doi:10.1016/j.jmbbm.2023.105733

Cited by 3 publications

(4 citation statements)

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“…The evolution of the dissected wall during the transition from an acute to a chronic dissection was modeled using an implementation of the homogenized constrained mixture algorithm in Abaqus/Standard. While the details of the theory, developed by Cyron et al ( 2016 ), and the implementation, proposed by Maes et al ( 2023 ) and Maes and Famaey ( 2023 ), have been extensively described before, the most important aspects are summarized below.…”

Section: Methodsmentioning

confidence: 99%

“…The soft tissue growth is assumed to occur in the radial direction and to affect the different constituents in the same manner. Therefore, the F g at time s was implemented as where is a unit vector that indicates the main growth direction, the total density of elastin and collagen together and the identity matrix (Braeu et al 2017 ; Maes and Famaey 2023 ).…”

Section: Methodsmentioning

confidence: 99%

“…As it is assumed that elastin does not remodel, the deformation imposed by the remodeling only depends on the collagen and can be extracted from for one-dimensional collagen fibers (Braeu et al 2017 ; Cyron et al 2016 ; Maes and Famaey 2023 ). The mean collagen fiber direction in the initial configuration is indicated by , while represents the collagen remodeling stretch in the fiber direction of fiber family f at time s .…”

Section: Methodsmentioning

confidence: 99%

“…The mean collagen fiber direction in the initial configuration is indicated by , while represents the collagen remodeling stretch in the fiber direction of fiber family f at time s . For more details about the derivation of this equation, the reader is referred to the original papers (Braeu et al 2017 ; Cyron et al 2016 ; Maes and Famaey 2023 ).…”

Section: Methodsmentioning

confidence: 99%

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Growth and remodeling of the dissected membrane in an idealized dissected aorta model

Gheysen,

Maes,

Famaey

et al. 2023

Biomech Model Mechanobiol

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While transitioning from the acute to chronic phase, the wall of a dissected aorta often expands in diameter and adaptations in thickness and microstructure take place in the dissected membrane. Including the mechanisms, leading to these changes, in a computational model is expected to improve the accuracy of predictions of the long-term complications and optimal treatment timing of dissection patients. An idealized dissected wall was modeled to represent the elastin and collagen production and/or degradation imposed by stress- and inflammation-mediated growth and remodeling, using the homogenized constrained mixture theory. As no optimal growth and remodeling parameters have been defined for aortic dissections, a Latin hypercube sampling with 1000 parameter combinations was assessed for four inflammation patterns, with a varying spatial extent (full/local) and temporal evolution (permanent/transient). The dissected membrane thickening and microstructure was considered together with the diameter expansion over a period of 90 days. The highest success rate was found for the transient inflammation patterns, with about 15% of the samples leading to converged solutions after 90 days. Clinically observed thickening rates were found for 2–4% of the transient inflammation samples, which represented median total diameter expansion rates of about 5 mm/year. The dissected membrane microstructure showed an elastin decrease and, in most cases, a collagen increase. In conclusion, the model with the transient inflammation pattern allowed the reproduction of clinically observed dissected membrane thickening rates, diameter expansion rates and adaptations in microstructure, thus providing guidance in reducing the parameter space in growth and remodeling models of aortic dissections.

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Section: Methodsmentioning

confidence: 99%