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探索最佳控制的化疗干细胞治疗对分数顺序癌症模型的综合效应
Kaushik Dehingia1,2, Sana Abdulkream Alharbi3, Awatif Jahman Alqarni4
1Department of Mathematics, Sonari College, Sonari, Assam, India.
PloS one
|February 13, 2025
概括
分数顺序微积分增强了化学疗法和干细胞治疗的新型癌症模型. 最佳化疗显著减少瘤细胞,而干细胞疗法单独是不太有效的.
科学领域:
- 数学瘤学数学瘤学
- 生物物理学的生物物理.
- 分数微积分的计算.
背景情况:
- 癌症治疗模式对于了解瘤动态至关重要.
- 化疗和干细胞治疗是癌症治疗的关键方式.
- 分数计算为模拟生物系统提供了一种更细致的方法.
研究的目的:
- 为了研究分数顺序对癌症治疗模型的影响.
- 分析化疗和干细胞治疗的联合作用.
- 确定癌症控制的最佳治疗策略.
主要方法:
- 开发一种新的癌症治疗模型,使用分数顺序导数 (卡普托感).
- 分析模型的存在,平衡和Ulam-Hyers稳定性.
- 实施组合疗法的最佳控制策略.
- 通过数值模拟来验证分析结果.
主要成果:
- 分数顺序显著影响癌症模型的动态.
- 干细胞治疗和效应细胞单独显示出在消灭瘤方面的有效性有限.
- 最佳控制的化疗显示出大量的瘤细胞减少.
- 正常和效应细胞种群在最佳化疗时会增加.
结论:
- 分数计算为癌症建模提供了一个强大的框架.
- 结合疗法,特别是最佳化疗,对于有效的瘤减少至关重要.
- 该模型强调了整合不同治疗方法对于改善癌症治疗结果的重要性.
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