Population Dynamics of Microorganisms by Means of Cellular Automatas

In this project, the growth of a glioblastoma multiforme (GMB) was modeled by means of cellular automata, with the intention of corroborating whether with the conditions given in our model the growth of said tumor adheres to the Gompertz model, which is a model tested for the growth of small but very fast growing tumors. The results obtained by our cellular automata model closely adhere to the Gompertzian model, so we conclude that the model used by us to analyze the dynamic system that represents tumor growth is correct. The model has rules for evolution in discrete time steps, with which we can determine the required time in which the tumor acquires a size considered fatal in various medical studies. Our model was compared with others, resulting in ours being a better approximation to the Gompertz curve, with which we were able to conclude that our analysis and methodology are correct.