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Special Semester on Quantitative Biology analyzed by Mathematical Methods
Linz, October 1, 2007 - January 27, 2008
Structure-based, Mechanical Modeling of Soft Biological Tissues

Workshop on Biomechanics and Chemotaxis, Fri, 14 Dec, 2007

Speaker: Triantafyllos Stylianopoulos

Abstract

A critical issue in biomechanics is to understand the relationship between a tissue’s microstructure and its mechanical function. A common constituent of soft tissues is an underlying network of collagen fibers. The collagen fibers provide the basis for a tissue’s mechanical response, which increases in complexity as other extracellular matrix components are added. The development of a methodology that incorporates the microstructure of the material to predict the mechanical behavior of tissues is necessitated by two facts: a) the material is so complex that no continuum-level constitutive equation can accurately describe its state of stress and b) recent studies have demonstrated the contribution of the microstructure of the material to its mechanical properties.
In this talk, a theoretical, multiscale framework for constitutive modeling of soft tissues will be presented. The model consists of two scales: the macroscopic scale that represents the tissue level, and the microscopic scale that represents the microstructure of soft tissues. The macroscopic scale is modeled by a Galerkin finite element model and the microscopic scale is represented by a 3-dimensional fiber network. The overall mechanical response is derived from the interaction of these two scales. Simulation results for acelular collagen gels, arterial walls, and bioartficial heart valves will be presented.

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