Mathematical Modeling and Analysis on the Effects of Surgery and Chemotherapy on Lung Cancer

Md. Ahsan Ullah, Uzzwal Kumar Mallick
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Abstract

Lung cancer is the biggest cause of cancer mortality worldwide and a major impediment to extending life expectancy. In comparison to other cancers, it has a relatively poor survival rate. In this paper, we have developed a mathematical model for lung cancer based on biological phenomena using nonlinear ordinary differential equations and analyzed it both analytically and numerically. According to the findings, CD8+ T cells and dendritic cells have a role in tumor cell variety. Surgery and chemotherapy have been used as treatment options, and we have observed that three doses of chemotherapy after surgery had the greatest results after examining several treatment options. During the treatment period, the cycle of each chemotherapy has been taken every 4 weeks, and the first dose has been taken after 28 days of surgery. Finally, we have evaluated the various starting dates for the best treatment choice and discovered that the patient who begins treatment sooner has a better probability of surviving.
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肺癌手术与化疗效果的数学建模与分析
肺癌是全球癌症死亡的最大原因,也是延长预期寿命的主要障碍。与其他癌症相比,它的存活率相对较低。本文利用非线性常微分方程建立了基于生物现象的肺癌数学模型,并对其进行了解析和数值分析。根据研究结果,CD8+ T细胞和树突状细胞在肿瘤细胞的多样性中起作用。手术和化疗已被用作治疗方案,我们观察到,在检查了几种治疗方案后,手术后三次化疗的效果最好。治疗期间,每4周进行一次化疗周期,手术28天后进行第一次化疗。最后,我们评估了最佳治疗选择的各种开始日期,发现越早开始治疗的患者存活的可能性越大。
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