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The dynamics between healthy and malignant cells at the avascular stage ofgrowth is described by a set of chemical reactions representing the populationsof both types of cells. We obtain a generalization of the logistic-Gompertzdynamics and study the consequences in terms of the properties of tumor growthassociated with the Warburg effect, mitosis and nutrient and space apoptosis.As a result of the stochastic nature of this process, a fractal morphology isobserved in this region. Our results agree with experimental results for growthof tumor cell colonies.

Fractality in tumor growth at the avascular stage from a generalization of the logistic-Gompertz dynamics