文章摘要
曹发坤,张立成,李胜.免疫疗法联合病毒疗法治疗癌症的数学模型[J].高技术通讯(中文),2025,35(2):157~166
免疫疗法联合病毒疗法治疗癌症的数学模型
Mathematical model of immunotherapy combined with virotherapy for cancer treatment
  
DOI:10. 3772 / j. issn. 1002-0470. 2025. 02. 005
中文关键词: 病毒疗法; 溶瘤病毒; 免疫疗法; 癌症建模; 常微分方程
英文关键词: virotherapy, oncolytic virus, immunotherapy, cancer modeling, ordinary differential equation
基金项目:
作者单位
曹发坤 (浙江工业大学信息工程学院杭州 310023) 
张立成  
李胜  
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中文摘要:
      建立了一个包含肿瘤细胞、免疫细胞和溶瘤病毒的数学模型。不考虑治疗,验证了模型的有效性,找到了模型3个符合生物学意义的平衡点,对模型进行了参数敏感性分析。模型中引入了2种治疗方法,分别为细胞免疫治疗和溶瘤病毒治疗(oncolytic virus therapy,OVT)。病毒治疗需要周期性给药,成本较高且有一定危害。免疫治疗可以有效地消除小肿瘤,但对于大肿瘤杀伤作用不明显。本文假设病毒治疗改为单次注射,同时在不同时间使用免疫治疗,并模拟和讨论了不同治疗方案下的肿瘤细胞生长趋势。数值模拟证明了2种治疗单一使用都无法完全消除肿瘤,而联合治疗方法可以完全消除肿瘤,同时证明了合适的注射时间可以达到更好的效果。
英文摘要:
      A mathematical model is developed to study the dynamics of tumor cells, immune cells, and oncolytic viruses. Without considering treatment, the validity of the model is confirmed by identifying three equilibrium points that are biologically meaningful and conducting a sensitivity analysis. Two treatments are investigated: cellular immunotherapy and oncolytic virus therapy (OVT). Viral therapy requires repeated dosing, which is costly and poses certain risks, while immunotherapy is effective against low tumor burdens but less effective against high levels of tumors. This paper assumes a single injection of the virus and varied the timing of immunotherapy administration to simulate the growth of tumor cells under different treatment regimens. Numerical simulation results show that neither therapy adopted alone is sufficient to eliminate the tumor completely, but the combination of both therapies is able to achieve complete elimination of the tumor. It also proves that the right timing of the injection can achieve better results.
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