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放疗过程中肿瘤演化的数理模型
Mathematical Model of Tumor Evolution in Radiotherapy
【摘要】 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。
【Abstract】 The schemes of dose fractionation play an important role in tumor radiotherapy.We used mathematical methods to describe the process of tumor cells evolution during radiotherapy,trying to find how the schemes of dose fractionation affect tumor cells.In clinical radiobiology,linear-quadratic(LQ) model is frequently used to describe radiation effects of tumor cells.We integrated LQ model with effect of oxygen,and with the phenomenon of repopulation and reoxygenation in the theory of radiation biology.While we considered the disappearing progress of doomed cells in tumor,we established the mathematical model of tumor evolution in radiotherapy.We simulated some common treatment schedules,and studied the change role of tumor cells during radiotherapy.These results can serve for the optimization of dose fractionation scheme based on tumor radiobiological characteristics.
【Key words】 Mathematical model; Tumor; Radiotherapy; Biological effect of radiation;
- 【文献出处】 生物医学工程学杂志 ,Journal of Biomedical Engineering , 编辑部邮箱 ,2012年06期
- 【分类号】R730.5
- 【被引频次】2
- 【下载频次】339