A cellular-automata model of avascular tumor growth

The neoplastic diseases are responsible for 12 % of deaths around the world. The mathematical and computer modelling may help the understanding of cancer dynamics. There are only a few cellular automata models in the literature [1] that take into account the competition between cancer and normal cells in a tissue. In this work, we propose a two-dimensional cellular automata model with 4 states (empty site, normal cell, cancer cell or necrotic cell) to describe the tumor growth at the avascular stage [2]. Assuming that the angiogenic process does not trigger yet, there is no increasing of nutrients which are uniformly distributed on the lattice