L302 Almie_Alias_Redacted.pdf (10.05 MB)
Mathematical Modelling of the Geometric Control of Bone Tissue Growth
thesis
posted on 2019-04-09, 05:42 authored by MOHD ALMIE ALIASIn 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.