A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES

By Jay D. Humphrey, Kumbakonam R. Rajagopal. 2002

780 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Cell Biology, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/c7c952b0c0ec91010eff1f2f0707fcb51cf891ad

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In Biomedical Engineering

In Cell Biology

In Fluid Flow and Transfer Processes

Citations in the corpus

Growth and instability in elastic tissues (2005, background): “…mechanical grounds that the natural way to introduce this effect (and other anisotropic effects) is to relate the growth rate to the Mandel stress in the intermediate configuration obtained after application of the growth tensor (see Imatani and Maugin, 2002 for an implementation of these ideas).”
Intracranial and abdominal aortic aneurysms: similarities, differences, and need for a new class of computational models. (2008, background): “A constrained mixture theory (178,179) can model evolving properties, turnover rates, and natural (i.e., stress-free) configurations of individual structural constituents that comprise a soft tissue, which is thereby modeled as materially nonuniform.”
Computational Modelling of Isotropic Multiplicative Growth (2005, background): “…by Taber and Perucchio (2000), Chen and Hoger (2000), Klisch, Dyke, and Hoger (2001), Ambrosi and Mollica (2002), Imatani and Maugin (2002), Humphrey (2002), Humphrey and Delange (2004), Humphrey and Rajagopal (2002), Garikipati, Narayanan, Arruda, Grosh, and Calve (2004) and Menzel (2005).”
Review Article: Rheological Properties of Living Materials. From Cells to Tissues (2003, neutral): “Recently, the concept of growth has been analyzed rigorously in the framework on continuum theories (Humphrey and Rajagopal, 2002; Humphrey, 2003) by decomposition of the motion.”
Stress-Modulated Growth (2007, background): “For this reason, some authors state a continuum mechanics theory for soft tissues in the framework of mixture theory [10], [11], [13], [17].”
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations (2006, methodology): “…approach (Demiray 1972; Vaishnav et al. 1973; Chuong & Fung 1983; Takamizawa & Hayashi 1987; Horgan & Saccomandi 2003) or take structural information of the underlying histology into account (Wuyts et al. 1995; Holzapfel et al. 2000; Humphrey & Rajagopal 2002; Zulliger et al. 2004).”