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

TL;DR

This paper generalizes the logistic-Gompertz model to describe avascular tumor growth, revealing fractal morphology due to stochastic effects, aligning with experimental observations of tumor cell colonies.

Contribution

It introduces a generalized model capturing tumor growth dynamics and explains the emergence of fractal structures during avascular growth stages.

Findings

Fractal morphology observed in tumor growth due to stochastic effects

Model aligns with experimental tumor colony growth data

Links tumor dynamics to Warburg effect, mitosis, and apoptosis processes

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.