树突状细胞（DCs）是目前已知的功能最为强大的专职抗原提呈细胞（APCs），在启动和放大固有免疫以及适应性免疫应答中起到重要的作用。在其发挥免疫功能的过程中，DCs 的迁移能力以及 DCs 活化初始 T 细胞的能力与其发挥免疫功能的效率有着密切关系。然而，由于免疫系统的复杂性，对于皮肤炎症引起 DCs 免疫应答的过程中细胞数量的动态变化依然知之甚少。因此，本研究利用数学模型对该过程进行数值模拟以及动态预测。通过设置函数和参数初始条件并构建常微分方程，模拟炎症引起免疫应答的初始阶段。结果显示，该方程能够较好地模拟 DCs 的迁移以及诱导初始 T 细胞特异性增殖的免疫应答过程，符合实际情况下免疫应答的持续时间、DCs 和 T 细胞的增殖率和迁移率等生理学特性，并且能够对不同时间点 DCs 与 T 细胞的数量进行预测，可为研究 DCs 的免疫学功能提供理论参考，进一步为临床治疗免疫相关疾病提供实践指导
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