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

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

Physica A: Statistical Mechanics and its Applications, 2023, vol. 618, issue C

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.

Keywords: Logistic map; Avascular tumor growth; Fractal edge (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:618:y:2023:i:c:s0378437123002194

DOI: 10.1016/j.physa.2023.128664

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