Journal
JOURNAL OF THE ROYAL SOCIETY INTERFACE
Volume 3, Issue 11, Pages 719-740Publisher
ROYAL SOC
DOI: 10.1098/rsif.2006.0138
Keywords
structure; function; material properties; boundary value problem; homeostasis remodelling
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Funding
- NHLBI NIH HHS [R29 HL55554, R29 HL055554] Funding Source: Medline
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Biomechanics relates the function of a physiological system to its structure. The objective of biomechanics is to deduce the function of a system from its geometry, material properties and boundary conditions based on the balance laws of mechanics (e.g. conservation of mass, momentum and energy). In the present review, we shall outline the general approach of biomechanics. As this is an enormously broad field, we shall consider a detailed biomechanical analysis of the aorta as an illustration. Specifically, we will consider the geometry and material properties of the aorta in conjunction with appropriate boundary conditions to formulate and solve several well-posed boundary value problems. Among other issues, we shall consider the effect of longitudinal pre-stretch and surrounding tissue on the mechanical status of the vessel wall. The solutions of the boundary value problems predict the presence of mechanical homeostasis in the vessel wall. The implications of mechanical homeostasis on growth, remodelling and postnatal development of the aorta are considered.
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