Modelling of the growth of engineered orthopaedic tissue in zero force and variable load environments
A problem presented at the UK MMSG Loughborough 2008.
- Presented by:
- (Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University)
- (Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University)
- (Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University)
- Participants:
Problem Description
Mathematical and computational modelling are important tools for improving in vitro cultivation systems in order to obtain biologically and mechanically competent engineered tissue equivalents for potential clinical use.
The study group is asked to analyze the role of the different processes during in vitro tissue growth such as nutrient transport and consumption, cell proliferation and moving, extra-cellular matrix (ECM) secretion, scaffold degradation, interaction forces between cells, ECM, scaffold, mechanical stimulation and to create mathematical model capable of predicting tissue properties.
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Study Group Report
A multi-phase model is derived to describing the interaction of the tissue components in a scaffold, accounting for heterogeneity in cell activity and the production of ECM. The resulting model consists of a mixed system of reaction–diffusion–advection PDEs. Numerical simulations of the model are discussed.