Department of Mathematics, Harvey Mudd College Claremont, CA, USA.
Front Oncol. 2013 Mar 19;3:56. doi: 10.3389/fonc.2013.00056. eCollection 2013.
Dendritic cells are a promising immunotherapy tool for boosting an individual's antigen-specific immune response to cancer. We develop a mathematical model using differential and delay-differential equations to describe the interactions between dendritic cells, effector-immune cells, and tumor cells. We account for the trafficking of immune cells between lymph, blood, and tumor compartments. Our model reflects experimental results both for dendritic cell trafficking and for immune suppression of tumor growth in mice. In addition, in silico experiments suggest more effective immunotherapy treatment protocols can be achieved by modifying dose location and schedule. A sensitivity analysis of the model reveals which patient-specific parameters have the greatest impact on treatment efficacy.
树突状细胞是一种有前途的免疫疗法工具,可以增强个体对癌症的抗原特异性免疫反应。我们使用微分和时滞微分方程开发了一个数学模型,以描述树突状细胞、效应免疫细胞和肿瘤细胞之间的相互作用。我们考虑了免疫细胞在淋巴、血液和肿瘤隔室之间的运输。我们的模型反映了树突状细胞运输和在小鼠中抑制肿瘤生长的实验结果。此外,计算机模拟实验表明,通过修改剂量位置和方案,可以实现更有效的免疫治疗治疗方案。对模型的敏感性分析表明,哪些患者特定参数对治疗效果有最大影响。