Computational methods in modelling fibre-reinforced soft biological tissues

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My research focuses on the mechanical properties of soft biological tissues, and the investigation of their response to external stimuli, growth, adaptation, failure, degeneration. I am particularly interested in the development of theoretical models of soft tissues, in order to predict their mechanical and physical properties, based on tissue microstructure. The theoretical approach is based on descriptions of a certain system by means of a set of equations. In several cases, these equations can be used analytically to find important basic relationships between physical quantities. However, there are cases in which the equations are so complex that it is impossible to derive any result directly. Furthermore, theoretical models cannot be directly used to solve specific problems characterised by complex geometry and/or boundary conditions (for example, the mechanics of a biological joint, with bones, articular cartilage, ligaments, etc).