The conventional mean-field kinetic models describing the interplay of cancer and the immune system are temporal and predict exponential growth or elimination of the population of tumour cells provided their number is small and their effect on the immune system is negligible. More complex kinetics are associated with non-linear features of the response of the immune system. The generic model presented in this communication takes into account that the rates of the birth and death of tumour cells inside a tumour spheroid can significantly depend on the radial coordinate due to diffusion limitations in the supply of nutrients and/or transport of the species (cells and proteins) belonging to the immune system. In this case, non-trivial kinetic regimes are shown to be possible even without appreciable perturbation of the immune system.

中文翻译：

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癌症与免疫系统相互作用的时空方面

描述癌症和免疫系统相互作用的传统平均场动力学模型是暂时的，并且可以预测肿瘤细胞群的指数增长或消除，前提是它们的数量很少并且它们对免疫系统的影响可以忽略不计。更复杂的动力学与免疫系统反应的非线性特征相关。本通讯中提出的通用模型考虑到，由于营养供应和/或物种（细胞）运输的扩散限制，肿瘤球体内肿瘤细胞的出生和死亡率可能显着取决于径向坐标。和蛋白质）属于免疫系统。在这种情况下，即使没有明显的免疫系统扰动，也显示出非平凡的动力学方案是可能的。