We have developed a spatial–temporal mathematical model (PDE) to capture fundamental aspects of the immune response to antigen. We have considered terms that broadly describe intercellular communication, cell movement, and effector function (activation or inhibition). The PDE model is robust to variation in antigen load and it can account for (1) antigen recognition, (2) an innate immune response, (3) an adaptive immune response, (4) the elimination of antigen and subsequent resolution of the immune response or (5) equilibrium of the immune response to the presence of persistent antigen (chronic infection) and the formation of a granuloma.

中文翻译：

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组织中免疫反应的数学模型

我们已经开发了一种时空数学模型（PDE），以捕获对抗原的免疫反应的基本方面。我们已经考虑了广泛描述细胞间通讯，细胞运动和效应子功能（激活或抑制）的术语。PDE模型对于抗原负载的变化具有鲁棒性，它可以解释（1）抗原识别，（2）先天免疫应答，（3）适应性免疫应答，（4）抗原消除和随后的免疫分解（5）对持续性抗原（慢性感染）的存在和肉芽肿形成的免疫反应的平衡。