Ms Fezile Mhlabane

Fezile was supervised by Prof. Nick Hale and Dr Andie de Villiers at Applied Mathematics under the auspices of a structured MSc program done in conjunction with the African Institute of Mathematical Sciences (AIMS), South African branch. Ms Mhlabane graduated in 2020. 

MSc project title: A mathematical model of wood growth  

This project was undertaken as a “mini-thesis” as part of a one-year M.Sc. program offered under the auspices of the AIMS program, through Stellenbosch University. This study investigated the hypothesis that wood formation is due a growth hormone, known as auxin, which governs how cells grow and divide. In particular, the study investigated whether this hormone could provide enough information to tree cells such that the overall radial growth of wood is controlled. This was done by introducing a mathematical model, which was implemented using the Python programming language. Simulations of the model provided a good agreement with observed physical experiments, particularly in the early part of the annual growing season. However, the model did not necessarily capture the decline of the growth rate towards the end of the growing season until wood ceases to grow. The results of this study therefore conclude that auxin plays a significant role in controlling cell growth, but there must be other mechanisms introduced.