| This thesis is an attempt to mathematically represent the dynamics of cancer evolution in living tissue by studying chromosomal aberrations. A mathematical model for the development and evolution of cancer in a fibroblast cell is proposed. Solution of the differential equations was preformed for a continuous model by assuming variable mutation pseudo reaction rate constants for each stage of cancer, as well as a discrete point model with fixed mutation reaction rate constants for all stages. When compared to experimental data, a continuous curvilinear model achieved maximum optimization between theory and reality. Calculation of the mutation pseudo reaction rate constants provides useful insight into the evolution of cancer as well as providing a tool which is possibly useful in evaluating the efficacy of various cancer treatment modalities. Lastly, this novel approach to quantify and predict the dynamics of cancer in a fibroblast may be extended to other forms of malignancies. |
