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Diffuse low-grade gliomas are brain tumors that grow slowly,but that are incurable because some glioma cells migrate within the parenchyma surrounding the tumor.Here,we will present a stochastic approach,based on a cellular automaton,where the interactions between migrating cells are taken into account and the properties of the correlations between cells are studied in order to characterise the leading edge of the tumor.We also calculated the continuous limit.