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

Luiza M. S. Miranda; Andre M. C. Souza

doi:10.1016/j.physa.2023.128664

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arXiv · 2208.00754

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

Luiza M. S. Miranda·Andre M. C. Souza

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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.

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Luiza M. S. Miranda, Andre M. C. Souza. 2022-08-01. Fractality in tumor growth at the avascular stage from a generalization of the logistic-Gompertz dynamics. https://doi.org/10.1016/j.physa.2023.128664

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