Mathematical Modelling of the Geometric Control of Bone Tissue Growth

In this thesis, we aim to understand two seemingly contradicting experimental observations by developing mathematical models of biological tissue growth at the cellular scale. We investigate how tissue-synthesising cells mediate the interaction between geometry and tissue growth. This leads us to the development of a continuum model consisting of two coupled PDEs that describe the co-evolution of the tissue interface and the density of cells that secrete the new tissue matrix.