Stress-Modulated Growth

The growth and remodeling of soft tissues depend on a number of biological, chemical and mechanical factors, including the state of tension. In many cases the stress field plays such a relevant role that “stress-modulated growth” has become a very topical subject. Recent theoretical achievements sug...

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Bibliographic Details
Published in:Mathematics and mechanics of solids 2007-06, Vol.12 (3), p.319-342
Main Authors: Ambrosi, D., Guana, F.
Format: Article
Language:English
Subjects:
Analysis
Biological and medical sciences
Biological materials
Biomechanics. Biorheology
Computer simulation
Constitutive equations
Dissipation
Elasticity
Exact sciences and technology
Fundamental and applied biological sciences. Psychology
Fundamental areas of phenomenology (including applications)
Growth
Joining
Mathematical analysis
Mathematical models
Mechanical properties
Numerical analysis
Physics
Soft tissues
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Tissues
Tissues, organs and organisms biophysics
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Summary:The growth and remodeling of soft tissues depend on a number of biological, chemical and mechanical factors, including the state of tension. In many cases the stress field plays such a relevant role that “stress-modulated growth” has become a very topical subject. Recent theoretical achievements suggest that, irrespective of the specific biological material at hand, a component of the stress—growth coupling is tissue-independent and reads as an Eshelby-like tensor. In this paper we investigate the mathematical properties and the qualitative behavior predicted by equations that specialize that model under few simple assumptions. Constitutive equations that satisfy a suitable dissipation principle are compared with heuristic ones that fit well the experimental data. Numerical simulations of the growth of a symmetric annulus are discussed and compared with the predicted qualitative behavior.
ISSN:1081-2865
1741-3028
DOI:10.1177/1081286505059739