Extracellular matrix (ECM) secreted by cells is composed of a meshwork of fibres infiltrated with proteins and/or minerals. This fibre meshwork often matures after its creation by rearranging its structure, e.g. according to local mechanical clues, or by the infiltration of new molecules . In this project, the fibre meshwork will be represented by a continuous tensorial field .
- Bidan C et al. Gradual conversion of cellular stress patterns into pre-stressed matrix architecture during in vitro tissue growth, J R Soc Interface 13:20160136
- Cumming BF, McElwain DLS, Upton Z (2010) A mathematical model of wound healing and subsequent scarring, J R Soc Interface 7:19-34
You will derive evolution equations to describe fibre creation at moving cell membranes and the subsequent maturation of the meshwork.
Applications include the investigation of twisted fiber arrangements in tissues grown in bioscaffold constructs , the generation of an anistropic network of interconnected cells in bone, and anisotropic molecular transport in the meshwork.
You may be able to apply for a research scholarship in our annual scholarship round.
Contact the supervisor for more information.