Constrained Mixture Models of Soft Tissue Growth and Remodeling – Twenty Years After

2021 ◽  
Author(s):  
J. D. Humphrey
Keyword(s):  
Soft Tissue ◽  
Mixture Models ◽  
Tissue Growth ◽  
Growth And Remodeling ◽  
Constrained Mixture

scholarly journals Fast, Rate-Independent, Finite Element Implementation of a 3D Constrained Mixture Model of Soft Tissue Growth and Remodeling

2020 ◽  
Author(s):  
Marcos Latorre ◽  
Jay D. Humphrey
Keyword(s):  
Finite Element ◽  
Soft Tissue ◽  
Mixture Models ◽  
Tissue Growth ◽  
Aortic Aneurysms ◽  
Growth And Remodeling ◽  
Adaptive Process ◽  
Finite Element Implementation ◽  
Constrained Mixture ◽  
Diseased Segment

AbstractConstrained mixture models of soft tissue growth and remodeling can simulate many evolving conditions in health as well as in disease and its treatment, but they can be computationally expensive. In this paper, we derive a new fast, robust finite element implementation based on a concept of mechanobiological equilibrium that yields fully resolved solutions and allows computation of quasi-equilibrated evolutions when imposed perturbations are slow relative to the adaptive process. We demonstrate quadratic convergence and verify the model via comparisons with semi-analytical solutions for arterial mechanics. We further examine the enlargement of aortic aneurysms for which we identify new mechanobiological insights into factors that affect the nearby non-aneurysmal segment as it responds to the changing mechanics within the diseased segment. Because this new 3D approach can be implemented within many existing finite element solvers, constrained mixture models of growth and remodeling can now be used more widely.

A Constitutive Model for Soft Tissue and its Application to a Boundary Value Problem

2013 ◽  
Author(s):  
P. Mythravaruni ◽  
Parag Ravindran
Keyword(s):  
Soft Tissue ◽  
Mixture Theory ◽  
Axial Loading ◽  
Tissue Growth ◽  
Theory Approach ◽  
Growth And Remodeling ◽  
Constrained Mixture ◽  
Set Up ◽  
And Function ◽  
Turn Over

Mechanical loading induces changes in the structure and function of soft tissue. Growth and remodeling results from the production and removal of constituents. We consider a tissue constituted of elastin and collagen. The collagen turns over at a much higher rate than elastin. In this work we propose a two-constituent, constrained mixture model for this soft tissue. One constituent is modeled as a viscoelastic material and the other as an elastic material. It is assumed that the collagen turns over depending on the stress applied and the elastin does not turn over. The standard mixture theory approach is followed and the balance equations are set-up. The model is studied in simple uni-axial loading to test its efficacy.

scholarly journals Critical roles of time-scales in soft tissue growth and remodeling

2018 ◽  
Vol 2 (2) ◽  
pp. 026108 ◽  
Author(s):  
Marcos Latorre ◽  
Jay D. Humphrey
Keyword(s):  
Soft Tissue ◽  
Time Scales ◽  
Tissue Growth ◽  
Growth And Remodeling

Biomechanics of Soft-tissue Growth and Remodeling with Plaster Casting

1995 ◽  
Vol 8 (2) ◽  
pp. 131-137 ◽  
Author(s):  
Judith A. Bell-Krotoski ◽  
John H. Figarola
Keyword(s):  
Soft Tissue ◽  
Tissue Growth ◽  
Growth And Remodeling ◽  
Plaster Casting

Homogenized constrained mixture models for anisotropic volumetric growth and remodeling

2016 ◽  
Vol 16 (3) ◽  
pp. 889-906 ◽  
Author(s):  
F. A. Braeu ◽  
A. Seitz ◽  
R. C. Aydin ◽  
C. J. Cyron
Keyword(s):  
Mixture Models ◽  
Growth And Remodeling ◽  
Volumetric Growth ◽  
Constrained Mixture

Constitutive Formulations for Soft Tissue Growth and Remodeling

2017 ◽  
pp. 79-100 ◽  
Author(s):  
Christian J. Cyron ◽  
John S. Wilson ◽  
Jay D. Humphrey
Keyword(s):  
Soft Tissue ◽  
Tissue Growth ◽  
Growth And Remodeling
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