控制药物从膨胀水凝胶释放到小肠的数学解

THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019) Pub Date : 2019-08-21 DOI:10.1063/1.5121074

Amanina Setapa, S. Mahali, U. M. Roslan, Nurshazamuzakkir Ibrahim

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引用次数: 1

摘要

移动边界装置对药物释放的研究是近年来研究人员关注的热点。一些关于药物在小肠中的释放的研究已经完成。在本文中，我们想建立一个控制药物从小肠肿胀水凝胶释放的数学模型。在这个项目中，我们正在考虑从肿胀水凝胶中释放药物和药物在小肠中的吸收参数。我们首先求解溶胀水凝胶中药物释放的分析解。我们导出了描述药物输运的平流-扩散方程。采用朗道变换去除对流项，采用分离变量法对模型进行求解。我们得到了溶胀水凝胶中药物释放质量的模型，并将该模型结合到小肠中药物释放质量的单室模型中。采用正演有限差分法对药物在小肠内的质量模型进行了数值求解。本文给出了模拟药物在小肠中的质量的图形。移动边界装置对药物释放的研究是近年来研究人员关注的热点。一些关于药物在小肠中的释放的研究已经完成。在本文中，我们想建立一个控制药物从小肠肿胀水凝胶释放的数学模型。在这个项目中，我们正在考虑从肿胀水凝胶中释放药物和药物在小肠中的吸收参数。我们首先求解溶胀水凝胶中药物释放的分析解。我们导出了描述药物输运的平流-扩散方程。采用朗道变换去除对流项，采用分离变量法对模型进行求解。我们得到了溶胀水凝胶中药物释放质量的模型，并将该模型结合到小肠中药物释放质量的单室模型中。采用前向方程对药物在小肠内的质量模型进行了数值求解。

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Mathematical solution for controlled drug release from a swelling hydrogel to the small intestine

Study on drug release from a moving boundary device has been quite popular among the researchers these days. Some research has been done pertaining to drug release in the small intestine. In this paper, we would like to develop a mathematical model for controlled drug release from a swelling hydrogel in the small intestine. For this project, we are considering drug release from a swelling hydrogel and a parameter of drug absorption in the small intestine. We start by solving the analytical solution for drug release from a swelling hydrogel. We derive the advection-diffusion equation to describe the drug transport. Landau transformation is applied onto the model to remove the convective term and the model is solved using the separation of variables method. We obtained a model of mass of drug release from a swelling hydrogel and the model is combined into a one-compartmental model of mass of drug in the small intestine. The model of mass of drugs in the small intestine is solved numerically using the forward finite difference method. The graph to simulate mass of drugs in the small intestine is presented in this paper.Study on drug release from a moving boundary device has been quite popular among the researchers these days. Some research has been done pertaining to drug release in the small intestine. In this paper, we would like to develop a mathematical model for controlled drug release from a swelling hydrogel in the small intestine. For this project, we are considering drug release from a swelling hydrogel and a parameter of drug absorption in the small intestine. We start by solving the analytical solution for drug release from a swelling hydrogel. We derive the advection-diffusion equation to describe the drug transport. Landau transformation is applied onto the model to remove the convective term and the model is solved using the separation of variables method. We obtained a model of mass of drug release from a swelling hydrogel and the model is combined into a one-compartmental model of mass of drug in the small intestine. The model of mass of drugs in the small intestine is solved numerically using the forwar...

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THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019)

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