细胞间相互作用对肿瘤细胞群体生长率的影响
Influence of cell-cell interactions on the population growth rate in a tumor
摘要：
在微观层次上理解种群增长的宏观唯象模型对于预测个体间相互作用所产生的种群行为具有重要意义。在这项工作中，我们考虑的细胞相互作用对群体生长率$R$在肿瘤系统中的影响，并表明，在大多数情况下，特别是小的增殖概率，相互作用的调节作用将加强与内在的增殖概率的下降。对于个体的高复制率和协同作用，增殖概率几乎没有影响。我们计算了$R$对无血管肿瘤边缘最近邻近似下细胞间相互作用的依赖性。我们的结果有助于定性地理解种群系统中个体之间的相互作用对增长率的影响。
英文摘要：
The understanding of the macroscopic phenomenological models of the population growth at a microscopic level is important to predict the population behaviors emerged from the interactions between the individuals. In this work we consider the influence of the cell-cell interaction on the population growth rate $R$ in a tumor system, and show that, in most cases especially small proliferative probabilities, the regulative role of the interaction will be strengthened with the decline of the intrinsic proliferative probabilities. For the high replication rates of an individual and the cooperative interactions, the proliferative probability almost has no effect. We compute the dependences of $R$ on the interactions between the cells under the approximation of the nearest neighbor in the rim of an avascular tumor. Our results are helpful to qualitatively understand the influence of the interactions between the individuals on the growth rate in population systems.
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