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肿瘤放疗剂量分割方案对放疗的疗效起到了重要作用,本研究采用数学方法描述放疗中肿瘤细胞的变化过程,研究剂量分割方案如何影响肿瘤细胞。在临床放射生物学中的线性-二次(LQ)模型常被用于描述细胞的辐射生物效应,将LQ模型结合氧效应与肿瘤放射生物学理论中的再增殖和再氧合现象,同时考虑死亡肿瘤细胞的消亡过程,建立肿瘤放疗演化的数学模型,模拟几种常用的剂量分割方案,分析放疗过程中肿瘤的变化规律,为根据放射生物学的特性而优化肿瘤放疗计划的分割方案服务。
Tumor radiotherapy dose division scheme plays an important role in the efficacy of radiotherapy. In this study, mathematical methods were used to describe the course of tumor cells in radiotherapy and to study how the dose division scheme affects tumor cells. The linear-quadratic (LQ) model in clinical radiobiology is often used to describe the radiobiological effects of cells by combining the LQ model with the reoxygenation effect of repression and reoxygenation in the theory of tumor radiology, taking into account To establish a mathematical model for the evolution of tumor radiotherapy and to simulate several commonly used dose division programs to analyze the variation of tumors during radiotherapy and to optimize the radiotherapy plan for radiotherapy based on radiobiological characteristics.