Rhodes Adam, Hillen Thomas
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada.
J Math Biol. 2020 Sep;81(3):799-843. doi: 10.1007/s00285-020-01521-x. Epub 2020 Aug 13.
Metastatic seeding of distant organs can occur in the very early stages of primary tumor development. Once seeded, these micrometastases may enter a dormant phase that can last decades. Curiously, the surgical removal of the primary tumor can stimulate the accelerated growth of distant metastases, a phenomenon known as metastatic blow-up. Recent clinical evidence has shown that the immune response can have strong tumor promoting effects. In this work, we investigate if the pro-tumor effects of the immune response can have a significant contribution to metastatic dormancy and metastatic blow-up. We develop an ordinary differential equation model of the immune-mediated theory of metastasis. We include both anti- and pro-tumor immune effects, in addition to the experimentally observed phenomenon of tumor-induced immune cell phenotypic plasticity. Using geometric singular perturbation analysis, we derive a rather simple model that captures the main processes and, at the same time, can be fully analyzed. Literature-derived parameter estimates are obtained, and model robustness is demonstrated through a time dependent sensitivity analysis. We determine conditions under which the parameterized model can successfully explain both metastatic dormancy and blow-up. The results confirm the significant active role of the immune system in the metastatic process. Numerical simulations suggest a novel measure to predict the occurrence of future metastatic blow-up in addition to new potential avenues for treatment of clinically undetectable micrometastases.
远处器官的转移播种可发生在原发性肿瘤发展的非常早期阶段。一旦播种,这些微转移灶可能进入一个可以持续数十年的休眠期。奇怪的是,原发性肿瘤的手术切除可刺激远处转移灶的加速生长,这一现象被称为转移爆发。最近的临床证据表明,免疫反应可具有强大的肿瘤促进作用。在这项工作中,我们研究免疫反应的促肿瘤作用是否对转移休眠和转移爆发有重大贡献。我们建立了转移的免疫介导理论的常微分方程模型。除了肿瘤诱导的免疫细胞表型可塑性这一实验观察到的现象外,我们还纳入了抗肿瘤和促肿瘤免疫效应。使用几何奇异摄动分析,我们推导了一个相当简单的模型,该模型捕捉了主要过程,同时可以进行全面分析。获得了源自文献的参数估计,并通过时间依赖性敏感性分析证明了模型的稳健性。我们确定了参数化模型能够成功解释转移休眠和爆发的条件。结果证实了免疫系统在转移过程中的重要积极作用。数值模拟提出了一种预测未来转移爆发发生的新方法,以及治疗临床上无法检测到的微转移灶的新潜在途径。