A linear uncertain pharmacokinetic model driven by Liu process
A linear uncertain pharmacokinetic model driven by Liu process
复制标题
Liu过程驱动的线性不确定药代动力学模型
DOI：
10.1016/j.apm.2020.08.061
复制
发表时间：
2021-01-01
影响因子：
5
通讯作者：
Yang, Xiangfeng
中科院分区：
文献类型：
--
作者：
Liu, Zhe;Yang, Xiangfeng
药物动力学过程中不可避免地存在动力学噪声，确定性方法不能很好地描述动力学噪声。此外，概率论框架下的随机药代动力学模型在分布函数（无论我们如何得到）足够接近真实的频率的前提下是有效的。但由于世界的复杂多变性、经济和技术的原因，这一前提在某些情况下无法得到满足。在这种情况下，本文首先基于不确定微分方程推导出一个线性不确定药代动力学模型，以合理地模拟动态噪声。研究了几个基本的药代动力学指标。还给出了该线性不确定药代动力学模型中未知参数的广义矩估计。通过一个数值例子和两个真实的数据的案例分析说明了我们的方法，并将Liu过程驱动的线性不确定药代动力学模型与确定性药代动力学模型进行了比较。可以看出，Liu过程驱动的线性不确定药代动力学模型给出了令人满意的结果，适用于实际药代动力学建模。(C)2020爱思唯尔公司All rights reserved.
There are inevitably dynamic noises in the pharmacokinetics, which can not be depicted well by deterministic methods. In addition, stochastic pharmacokinetic models under the framework of probability theory are valid under the premise that the distribution function (no matter how we get it) is close enough to the real frequency. However, due to the complexity and changeability of the world, economic and technological reasons, this premise can not be satisfied in some cases. Under these situations, this paper first deduces a linear uncertain pharmacokinetic model based on uncertain differential equations to rationally model dynamic noises. Several essential pharmacokinetic indexes are investigated. Generalized moment estimations for unknown parameters in this linear uncertain pharmacokinetic model are also given. A numerical example and two case studies using real data illustrate our method and compare the linear uncertain pharmacokinetic model driven by Liu process with deterministic pharmacokinetic model. As we can see, the linear uncertain pharmacokinetic model driven by Liu processes gives satisfactory results, and is suitable to model pharmacokinetics in reality. (C) 2020 Elsevier Inc. All rights reserved.