Modeling Three Dimensional Avascular Tumor Growth using Lattice Gas Cellular Automata

We model and simulate avascular tumor growth in three dimensions using lattice gas cellular automata (LGCA). Our 3D models are an advance over current state-of-the-art where most 3D models are in fact only models of two and a half dimensions, i.e., a series of 2D models simulated to give an appearance of a 3D model. In our 3D model, we use binary description of cells and their states for computational speed and efficiency. The fate and distribution of cells in our model are determined by the Lattice Boltzmann energy. We simulate our model in a comparable size of lattice and show that the findings are in good agreement with biological tumor behavior.