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,并进行敏感性分析。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4个关键变量:肿瘤细胞、细胞外基质、基质降解酶和氧,利用线性二次(LQ)模型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有效的治疗手段,能够为临床肿瘤治疗提供一种新思路。
Objective To establish a mathematical model of tumor growth and invasion under radiotherapy,so as to numerically simulate the effect of radiotherapy on tumor growth and make sensitivity analysis.Methods The 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,extracellular matrix(ECM),matrix-degradative enzymes(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.Conclusions Simulation results are basically consistent with clinical experimental results.As a more efficient treatment method,intraoperative targeted radiotherapy can provide new ideas for clinical tumor treatment.
作者
张萌
赵改平
夏费一
许海飞
俞晓立
ZHANG Meng;ZHAO Gaiping;XIA Feiyi;XU Haifei;YU Xiaoli(School of Health Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Department of Radiology,Fudan University Shanghai Cancer Center,Shanghai 200032,China)
出处
《医用生物力学》
CAS
CSCD
北大核心
2022年第2期292-298,共7页
Journal of Medical Biomechanics
基金
国家自然科学基金项目(11502146)
上海市自然科学基金项目(15ZR1429600)。
关键词
放射治疗
肿瘤生长浸润
数学模型
放射敏感性
radiotherapy
tumor growth and infiltration
mathematical model
radiosensitivity