用混合疗法进行癌症的分量建模
Shumaila Javeed1,2,3, Zain Ul Abdeen1, Dumitru Baleanu4,5,6
1Department of Mathematics, COMSATS University Islamabad, 45550 Islamabad, Pakistan.
Frontiers in bioscience (Landmark edition)
|September 4, 2023
概括
这项研究引入了分数建模,以模拟使用免疫疗法和化疗的癌症治疗动态. 这些发现提供了一个曲线适配方法,以帮助医疗从业者治疗癌症患者.
科学领域:
- 在瘤学瘤学.
- 数学生物学 数学生物学
- 计算科学 计算科学
背景情况:
- 癌症是全球主要的死亡原因,全球约有六分之一的死亡是癌症造成的.
- 常见的癌症包括乳腺癌,肺癌,结肠癌,直肠癌和前列腺癌,这凸显了迫切需要有效的治疗策略.
研究的目的:
- 开发和分析分数数学模型,以了解癌症治疗动态.
- 研究免疫疗法和化疗对癌细胞群控制的联合作用.
- 为模拟和分析癌症治疗结果提供数值方法.
主要方法:
- 利用分数微分方程 (FDE) 系统与卡普托分数导数来建模癌症生长.
- 采用亚当斯-巴什福斯-穆尔顿方法来计算分数模型的数值解.
- 分析了平衡点和稳定性,并证明了解决方案的积极性和有限性.
主要成果:
- 发现 β = 0.6 和 β = 0.9 之间的分数顺序对于模型是合理的.
- 稳定性分析和图形表示表明了癌症治疗动态的行为.
- 该研究证实了拟议的分数模型的可行性和稳定性.
结论:
- 开发的分数模型为涉及混合疗法的癌症治疗动态提供了洞察力.
- 介绍了一种曲线拟合程序,可能有助于医疗从业者优化癌症患者治疗计划.
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