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目的数值模拟研究放射治疗下放射敏感性系数、治疗频率、肿瘤细胞成熟年龄等因素对实体肿瘤放射治疗效果的影响。方法建立放射治疗下实体肿瘤演变的连续-离散混合数学模型,模型考虑肿瘤的微环境(氧、细胞外基质、基质降解酶)以及自身行为(增殖、凋亡、黏附)对肿瘤演变的影响,并引入线性二次模型描述肿瘤对放射治疗的响应,采用数值模拟方法模拟不同条件下肿瘤演变的过程,评价放射治疗的疗效。结果肿瘤的放射治疗效果与放射敏感性系数、肿瘤细胞成熟年龄正相关,而在放射剂量总量不变的情况下,高频治疗和低频治疗效果并没有特别明显的区别。结论模拟结果与临床结果相吻合,可为肿瘤放射治疗的理论及临床研究提供一种新的方法。
Objective To study the effects of radiosensitivity coefficient, frequency of treatment and age of tumor cells on radiotherapy effect of solid tumors under radiotherapy. Methods The continuous-discrete mixed mathematical model of solid tumor evolution under radiotherapy was established. The model considered the effect of tumor microenvironment (oxygen, extracellular matrix and matrix degrading enzyme) and its behavior (proliferation, apoptosis and adhesion) The linear quadratic model was introduced to describe the response of tumor to radiation therapy. The numerical simulation method was used to simulate the process of tumor evolution under different conditions to evaluate the effect of radiation therapy. Results The radiotherapy effect of tumor was positively correlated with radiosensitivity coefficient and maturation age of tumor cells. However, there was no significant difference between high-frequency treatment and low-frequency treatment in the case of constant total radiation dose. Conclusions The simulation results are in good agreement with the clinical results, which may provide a new method for the theoretical and clinical research of tumor radiotherapy.