放疗中肿瘤生长数学模型及放射敏感性分析
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上海理工大学医疗器械与食品学院

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Mathematical model of tumor growth and invasion in radiotherapy and radiosensitivity analysis
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    摘要:

    目的:建立放射治疗下肿瘤生长及浸润的数学模型,数值模拟放射治疗对肿瘤生长的影响及敏感性分析。 方法:建立放射治疗前后肿瘤生长和浸润随时间演变的数学模型,模型包括肿瘤浸润过程中四个关键变量:肿瘤细胞、ECM、MDES和氧,利用线性二次(LQ)模型来模拟放疗后的肿瘤细胞存活概率,探讨肿瘤放射治疗下不同放疗方案和系数对治疗效果的影响,并将传统放疗和术中靶向放射治疗进行对比分析。结果:在总剂量不变的前提下,放疗结果与放疗系数成正比,与放疗频率无关联;术中靶向放疗与标准治疗相比,治疗成效更好。结论:模拟结果和临床实验结果基本相符,术中靶向放疗作为一种更加高效的治疗手段,能够为临床肿瘤治疗提供一种新思路。

    Abstract:

    Objective: A mathematical model of tumor growth and invasion under the radiotherapy was established to simulate the effect of radiotherapy on tumor growth and sensitivity analysis. Methods: A mathematical model of tumor growth and invasion with time evolution before and after radiotherapy was established. The model included four key variables in the process of tumor invasion: tumor cells, ECM, MDEs and oxygen. The linear quadratic (LQ) model was used to simulate the survival probability of tumor cells after radiotherapy, and the effects of different radiotherapy schemes and radiotherapy coefficients on the treatment effect were discussed. Traditional radiotherapy and intraoperative targeted radiotherapy were compared. Results: under the premise of constant total dose, the results of radiotherapy were directly proportional to the radiotherapy coefficient, but not related to the radiotherapy frequency; the therapeutic effect of intraoperative targeted radiotherapy was better than that of standard treatment. Conclusion: Simulation results are basically consistent with the clinical experimental results. As a more efficient treatment method, intraoperative targeted radiotherapy can provide a new idea for clinical tumor treatment.

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  • 收稿日期:2021-03-04
  • 最后修改日期:2021-05-31
  • 录用日期:2021-06-02
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