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基于酶动力学的免疫监视下肿瘤细胞生长,在其Logistic生长模型中分别引入乘性噪声、免疫效应及治疗性外力等综合作用,考察肿瘤细胞的定量演化规律.肿瘤细胞生长动力学方程的仿真模拟计算表明:(ⅰ)在治疗强度与治疗占空比组成的参数空间中存在一个区分有效治疗与无效治疗的临界治疗边界,其变化规律具有指数衰减特征;(ⅱ)治疗强度的减小使临界治疗占空比显著增加;(ⅲ)免疫作用增强使临界治疗强度下降.初步的临床观察结果与动力学理论模拟计算结果在变化趋势上基本一致.
Based on the enzyme kinetics surveillance of tumor cell growth under immune surveillance, multiple effects such as multiplicative noise, immune effects, and therapeutic external forces were introduced into their logistic growth models to investigate the quantitative evolution of tumor cells. Simulation of tumor cell growth kinetics equations Simulation calculations show that: (i) There is a boundary of critical treatment that distinguishes between effective treatment and ineffective treatment in the parameter space composed of therapeutic intensity and treatment duty cycle, and its changing law has exponential decay characteristics; (ii) reduction of treatment intensity makes Significant increase in the critical treatment duty cycle; (iii) enhanced immune response to reduce the critical treatment intensity. Preliminary clinical observations and dynamics theoretical simulation results are basically consistent with the change trend.