肿瘤1期延迟免疫肿瘤模型的稳定性研究

A. Devi, Aditya Ghosh
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引用次数: 3

摘要

建立了一个数学模型,描述了肿瘤细胞在免疫细胞存在下的生长延迟及其固有行为。在免疫肿瘤模型中加入一项延迟因子。对肿瘤细胞生长方程中延迟项的引入进行了分析,发现I-T-D模型的稳定性既取决于正常肿瘤细胞,也取决于延迟项中的肿瘤细胞。在平衡条件下分析了免疫细胞和肿瘤细胞在延迟条件下的稳定性,得到了免疫细胞和肿瘤细胞在延迟条件下的稳定性条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the stability of immune-tumor model with one term delay in tumor (I-TD)
A mathematical model is presented that describes the growth of the tumor cells with delayand intrinsic behavior of it in the presence of immune cells.The immune-tumor model is modi¯ed withinclusion of one term delay factor. The introduction of delay term in the growth equation of the tumorcell has been analyzed and found that the stability of I-T-D model is depending on both the termnormal tumor cell and tumor cell in delay term. The stability of both immune and tumor cell withdelay has been analyzed under equilibrium condition and found the condition for stabilities of both immune and tumor cell under delay.
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