论文标题
逻辑gompertz动力学的概括，肿瘤生长的分形
Fractality in tumor growth at the avascular stage from a generalization of the logistic-Gompertz dynamics
论文作者
论文摘要
在生长的血管阶段，健康和恶性细胞之间的动力学用代表两种细胞种群的一组化学反应来描述。我们获得了逻辑 - 看音动力学的概括，并研究了与Warburg效应，有丝分裂和养分和空间凋亡相关的肿瘤生长的特性。由于此过程的随机性，在该区域中观察到了分形形态。我们的结果与肿瘤细胞菌落生长的实验结果一致。
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.
