Dispersing and settling populations in biology with an application to tissue engineering
by Abbey Trewenack
Abstract: significant proportion of mathematical modelling in biology is concerned with populations -- of cells, animals or molecules. In the research presented in my thesis, reaction-diffusion equations are used to model populations consisting of individuals that undergo two important processes: dispersal and settling. In the first part of this talk, I will give an overview of models of this type and then outline the three applications that make up my thesis: translocation of an endangered species of frog, the development of the enteric nervous system, and the development of tissue-engineered cartilage.
In the second half of the talk, I will discuss the tissue engineering application in more detail. Cartilage damage and diseases such as osteoarthritis present a major clinical problem due to the limited capacity of cartilage to heal. Tissue engineering of cartilage may potentially provide transplant material for reconstruction, but also provides a controlled environment in which to study the process of cartilage formation. We propose a continuum model for the development of tissue-engineered cartilage around a single chondrocyte.
For More Information: Contact: Kerry Landman firstname.lastname@example.org