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| 基于免疫检查点抑制剂的肿瘤免疫模型动力学分析 |
| Dynamic Analysis of a Tumor-Immune Model Based on Immune Checkpoint Inhibitors |
| 投稿时间：2024-12-21 修订日期：2025-01-09 |
| DOI： |
| 中文关键词: 肿瘤免疫模型 免疫检查点抑制剂anti-PD-1 动力学 |
| 英文关键词:Tumor immune model Immunocheckpoint inhibitor anti-PD-1 Dynamics |
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| 中文摘要: |
| 免疫检查点抑制剂anti-PD-1治疗是一种新兴的对抗肿瘤免疫逃逸机制的免疫疗法。本文提出了一个由三维常微分方程构成的具免疫检查点抑制剂anti-PD-1的肿瘤-免疫模型。通过对模型的动力学分析，发现在无治疗情况下模型始终存在唯一的无肿瘤平衡点，并且最多存在两个肿瘤平衡点。借助Dulac函数，证明了在无治疗的情况下模型不存在非平凡正周期轨道，进而得到模型无治疗情况下的全局动力学性质。本文的研究结果表明，增大T细胞杀伤肿瘤细胞的可能性P, 或使用anti-PD-1抑制剂激活T细胞, 都能有效消除肿瘤细胞。 |
| 英文摘要: |
| Anti-PD-1, an immune checkpoint inhibitor, is an emerging immunotherapy aimed at counteracting tumor immune evasion mechanisms. This paper presents a tumor-immune model that incorporates anti-PD-1, formulated as a system of three-dimensional ordinary differential equations. Through dynamic analysis of the model, it is observed that, in the absence of treatment, the system always has a unique tumor-free equilibrium point and at most two tumor equilibrium points. By applying the Dulac function, it is rigorously demonstrated that no nontrivial positive periodic orbits exist under untreated conditions, thereby establishing the global dynamical behavior of the system in the absence of therapeutic intervention. The findings of this study suggest that increasing the likelihood (P) of T cells killing tumor cells or using anti-PD-1 inhibitors to activate T cells can effectively eliminate tumor cells. |
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