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

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 tum...

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Bibliographic Details
Published in:Physica A 2023-05, Vol.618, p.128664, Article 128664
Main Authors: Miranda, Luiza M.S., Souza, Andre M.C.
Format: Article
Language:English
Subjects:
Avascular tumor growth
Fractal edge
Logistic map
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Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2023.128664