Changes in the state of the microenvironment in organisms can affect cellular interactions. In this paper, we introduce the microenvironmental feedback mechanism to the growth dynamics of multicellular organisms, where microenvironmental feedback can affect the growth of multicellular organisms by changing the cellular competitive ability. We show that the microenvironmental feedback mechanism can delay aging, but cancer cells will grow uncontrollably due to the emergence of the tumor microenvironment(TME). We investigate the effect of the feedback rate of cancer cell fitness to the microenvironment and find the average lifespan shortened is close to the data for non-Hodgkin lymphoma in Canada from 1980 to 2015. We also study the impact of the competitive ability of cancer cells on the lifespan of the organism and find that there is an optimal value of cancer cell competitive ability that makes the organism live the longest under the same conditions. These results will provide mathematical theoretical help for targeted therapies aimed at TME.

中文翻译：

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具有微环境反馈的细胞间竞争性生长动力学

生物体内微环境状态的变化会影响细胞相互作用。在本文中，我们将微环境反馈机制引入到多细胞生物的生长动力学中，微环境反馈可以通过改变细胞竞争能力来影响多细胞生物的生长。我们表明微环境反馈机制可以延缓衰老，但癌细胞会由于肿瘤微环境（TME）的出现而不受控制地生长。我们研究了癌细胞适应性对微环境的反馈率的影响，发现平均寿命缩短与加拿大 1980 年至 2015 年非霍奇金淋巴瘤的数据接近。我们还研究了癌细胞竞争能力对机体寿命的影响，发现在相同条件下，癌细胞竞争能力存在一个最优值，使机体寿命最长。这些结果将为针对TME的靶向治疗提供数学理论帮助。