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The growth dynamics of tumor subject to both immune surveillance and external therapy intervention

机译:免疫监测和外部治疗干预共同作用下的肿瘤生长动力学

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摘要

Considering the growth of tumor cells modeled by an enzyme dynamic process under an immune surveillance, we studied in anti-tumor immunotherapy the single-variable growth dynamics of tumor cells subject to a multiplicative noise and an external therapy intervention simultaneously. The law of tumor growth of the above anti-tumor immunotherapy model was revealed through numerical simulations to the relevant stochastic dynamic differential equation. Two simulative parameters of therapy, i.e., therapy intensity and therapy duty-cycle, were introduced to characterize a treatment process similar to a tumor clinic therapy. There exists a critical therapy boundary which, in an exponent-decaying form, divides the parameter region of therapy into an invalid and a valid treatment zone, respectively. A greater critical therapy duty-cycle is necessary to achieve a valid treatment for a lower therapy intensity while the critical therapy intensity decreases accordingly with an enhancing immunity. A primary clinicobservation of the patients with the typical non-hodgekin's lymphoma was carried out, and there appears a basic agreement between clinic observations and dynamic simulations.
机译:考虑到在免疫监视下通过酶动力学过程模拟的肿瘤细胞的生长,我们在抗肿瘤免疫治疗中研究了同时受到乘性噪声和外部疗法干预的肿瘤细胞的单变量生长动力学。通过对相关随机动态微分方程的数值模拟,揭示了上述抗肿瘤免疫治疗模型的肿瘤生长规律。引入治疗的两个模拟参数,即治疗强度和治疗占空比,以表征类似于肿瘤临床治疗的治疗过程。存在一个关键的治疗边界,该边界以指数衰减的形式分别将治疗的参数区域划分为无效和有效治疗区域。为了在较低的治疗强度下实现有效治疗,需要更大的关键治疗工作周期,而关键治疗强度会相应降低,从而增强免疫力。对典型的非霍奇金淋巴瘤患者进行了初步的临床观察,临床观察与动态模拟之间基本达成一致。

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