ProgramMPhil Scientific Computing & Industrial Modeling
Graduating Class of2018
Research InterestsComputational Mathematics, Mathematical Biology/Neuroscience, Signals and Imaging
Affiliate InstitutionKwame Nkrumah University of Science and Technology
Degree ObtainedBSc. Mathematics
Phebe Mawuena Afi Havor enrolled in the Mathematics programme at the Kwame Nkrumah University of Science and Technology, Ghana, in 2011, and completed in 2015, with a Bachelor of Science degree, Second Class Upper Division in Mathematics. Her undergraduate thesis was focused on the areas of Numerical Analysis and Differential Equations, where she worked on the 'Dynamics of Disease Models with Self-Diffusion with a case study of Cholera'.
For her mandatory National Service, she joined the Department of Mathematics of the Kwame Nkrumah University of Science and Technology, Ghana, as a Teaching and Research Assistant.
In August 2016, she had the opportunity to pursue a postgraduate research programme in 'Scientific Computing and Industrial Modelling' with the National Institute for Mathematical Sciences, Ghana, where she currently is a student.
Generally, she finds herself interested in the bigger picture of Computational Mathematics with peculiar interest in Differential Equations and Numerical Analysis for Mathematical Biology and Neuroscience.
Phebe calls herself a team player who has a sense of diligence and comportment, as well as a passion for excellence. She is also a challenging fellow with positive focus and drive for results.
During her free time, Phebe loves to read, go on hikes, as well as do some volunteer and community work. She seeks to give back to her country, Ghana, in all forms especially by contributing to high levels of scientific, economic, health and social development, female education, as well as promote the study of Science, Technology, Engineering and Mathematics across board.
An important stage in the formation and development of solid tumours is tumour-induced angiogenesis. This process links the relatively benign avascular phase to the prospective lethal vascular stage of solid tumour growth. Capillary vessels from pre-existing vascular systems begin to form. This formation is a response to secreted tumour angiogenic factor (TAF) proteins secreted by the avascular solid tumour when it reaches a hypoxic state. Once secreted, the endothelial cells in the nearby existing vascular host breast tissue, get activated and also secrete a chemical known as fibronectin to enable them to adhere to the extracellular matrix whilst migrating towards the TAF gradient to penetrate the tumour and become vascularized. By analyzing a computational model, the process from the avascular stage to the phase of tumour-induced angiogenesis to the vascularization stage which makes the tumour more lethal to invade and metastasize is understood. A continuum mathematical model with coupled non-linear partial differential equations is developed and analyzed to describe the initial migration process of the endothelial cells during tumour-induced angiogenesis. Simulations run on the system used parameter values based on experimental data from laboratory experiments. Results indicate that both the processes of chemotaxis and haptotaxis have significant impacts on the movement of the endothelial cells to the solid tumour in density in order to permeate and it vascularized.