优化和可变性分析的药物动力学模型与双随机性引起的药物不依附的药物
Peiyao Wang1, Xiaotian Wu2, Sanyi Tang1
1School of Mathematics and Statistics, Shaanxi Normal University, Xi'an, 710119, P. R. China.
Journal of mathematical biology
|October 6, 2025
概括
药物不服药,包括随机剂量时间和可变剂量,会影响治疗. 本研究引入了一种药理动力学模型来分析对药物度的双随机效应,并提出剂量调整以有效治疗疾病.
科学领域:
- 药理动力学 药理动力学
- 数学建模的数学建模
- 药物治疗是药物治疗.
背景情况:
- 药物不服药是疾病治疗的一个主要挑战.
- 现有的模型往往过于简化了不遵守,无法捕捉其复杂性.
- 这项研究解决了对更现实的药理动力学模型的需求.
研究的目的:
- 开发一种随机的药理动力学模型,在剂量时间和剂量方面具有双随机性.
- 分析双随机性对药物度可变性的影响.
- 提出剂量调整策略,以达到所需的药物度.
主要方法:
- 开发了一个单隔间的随机药理动力学模型.
- 采用更新过程和沃尔特拉积分方程来实现内置的双随机性.
- 药物度的衍生统计性质,包括特征功能,预期和差异.
主要成果:
- 在一般分配下药物度的衍生统计属性,用于剂量时间和剂量.
- 获得统计特征的显式表达式,具有均和指数分布.
- 理论上提出的剂量调整策略,以达到所需药物度.
结论:
- 建立了一个理论基础,以了解在双随机的情况下药物度的变化.
- 为药物治疗中的风险预防和过程控制提供了关键的见解.
- 该模型为研究药物不服药提供了更现实的方法.
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