Fractality in tumor growth at the avascular stage from a generalization of the logistic-Gompertz dynamics
arXiv:2208.00754 · doi:10.1016/j.physa.2023.128664
Abstract
The dynamics between healthy and malignant cells at the avascular stage of growth is described by a set of chemical reactions representing the populations of both types of cells. We obtain a generalization of the logistic-Gompertz dynamics and study the consequences in terms of the properties of tumor growth associated with the Warburg effect, mitosis and nutrient and space apoptosis. As a result of the stochastic nature of this process, a fractal morphology is observed in this region. Our results agree with experimental results for growth of tumor cell colonies.
12 pages, 5 figures