通过使用Caputo衍生物的 dostarlimab和化疗治疗,对子宫内膜癌进行最佳控制的数学模型
Kalimuthu Ramalakshmi1, Mohammad Esmael Samei2
1Department of Mathematics, Alagappa University, Karaikudi, 630 004, India.
Scientific reports
|November 11, 2025
概括
这项研究模拟了子宫内膜癌的治疗方法,发现联合delarlimab和化疗是最有效的. 分数微分方程通过平衡瘤减少和药物使用,提供成本有效的治疗方法.
科学领域:
- 数学瘤学数学瘤学
- 免疫疗法建模模型
- 医学上的分数计算.
背景情况:
- 子宫内膜癌的治疗反应是复杂的.
- 了解药物相互作用和免疫系统动态是至关重要的.
- 数学模型可以模拟治疗疗效.
研究的目的:
- 开发和比较用于子宫内膜癌治疗的数学模型.
- 为了研究达拉利马布和化疗的疗效,单独和联合.
- 探索分数微分方程在捕捉治疗记忆效应方面的好处.
主要方法:
- 使用非线性普通微分方程 (ODEs) 和使用卡普托导数的分数微分方程 (FDEs).
- 使用巴纳赫定点定理和罗斯-赫尔维茨标准建立了解决方案的存在,独特性和稳定性.
- 制定了一个最佳的控制框架,并在MATLAB中进行了数值模拟.
主要成果:
- 联合治疗显示了最大的癌细胞减少和CD8+T细胞激活.
- 多斯塔利马布单一治疗的效果优于单独的化疗.
- 与ODE相比,FDE模型显示瘤减少速度更快,免疫激活率更高,治疗成本更低.
结论:
- 最佳控制策略,特别是联合疗法,显示出对子宫内膜癌管理的重大前景.
- 分数微分方程为建模治疗动态和优化治疗策略提供了有价值的方法.
- 该研究提供了关于平衡治疗疗效与减少药物使用以实现成本效益的见解.
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