一种用于化学免疫疗法治疗的数学模型。
A mathematical model for treatment using chemo-immunotherapy.
作者信息
Nave Ophir
机构信息
Department of Mathematics, Jerusalem College of Technology, Israel.
出版信息
Heliyon. 2022 Apr 26;8(4):e09288. doi: 10.1016/j.heliyon.2022.e09288. eCollection 2022 Apr.
In this study, we investigated a mathematical model for chemoimmunotherapy (a combination of chemotherapy and immunotherapy) for brain cancer. In most cases, the standard protocol for cancer treatment is fixed in terms of treatment time intervals and dosages. We offer a wide range of non-fixed protocols, which essentially vary in terms of time intervals and dosages (i.e., personalised medicine). The functions that describe this treatment are explicit and analytical. Hence, the parameters of the function can be easily changed and a new protocol can be obtained. We compared different protocols and obtained an optimal solution. In addition, we applied the singular perturbed vector field (SPVF) method to determine the hierarchy of the system of equations, which enabled us to identify the equilibrium points of the mathematical model and investigate their stability.
在本研究中，我们研究了一种用于脑癌化学免疫疗法（化疗与免疫疗法相结合）的数学模型。在大多数情况下，癌症治疗的标准方案在治疗时间间隔和剂量方面是固定的。我们提供了广泛的非固定方案，这些方案在时间间隔和剂量方面（即个性化医疗）本质上有所不同。描述这种治疗的函数是显式且解析的。因此，可以轻松更改函数的参数并获得新的方案。我们比较了不同的方案并获得了最优解。此外，我们应用奇异摄动向量场（SPVF）方法来确定方程组的层次结构，这使我们能够识别数学模型的平衡点并研究其稳定性。
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