Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (10): 1341-1349 .doi: https://doi.org/10.1007/s10483-008-1009-y

• Articles • 上一篇    下一篇

磁性靶向药物递送中铁磁流体的动力学建模

刘菡萏1;徐威1;王石刚1;柯遵纪2   

  1. 1上海交通大学机械与动力工程学院 上海 200240;
    2中国科学院上海生命科学研究院 上海 200031
  • 收稿日期:2007-10-11 修回日期:2008-08-25 出版日期:2008-10-01 发布日期:2008-10-01
  • 通讯作者: 王石刚

Hydrodynamic modeling of ferrofluid flow in magnetic targeting drug delivery

LIU Han-dan1;XU Wei1;WANG Shi-gang1;KE Zun-ji2   

  1. 1. School of Mechanical Engineering, Shanghai Jiaotong University,Shanghai 200240, P. R. China; 2. Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences,Shanghai 200031, P. R. China
  • Received:2007-10-11 Revised:2008-08-25 Online:2008-10-01 Published:2008-10-01
  • Contact: WANG Shi-gang

摘要: 在所有人体内进行的药物递送技术中,磁性药物靶向递送治疗由于其非入侵性和高靶向性而成为主要的方法。磁性药物靶向递送是将药物装载到磁性纳米颗粒上,利用外部磁场使其移动并聚焦在靶部位的方法。它能提高靶部位药物的浓度,降低药物对正常组织的毒副作用。尽管已经有不少磁性靶向药物递送的理论分析,但是很少有人研究磁流体在血管里的流体动力学模型。文章提出了一个数学模型来描述作为药物载体的铁磁流体在外磁场作用下在血管里的流体动力学特性,并在模型中增加了磁场力以及由此产生的不对称应力,增加了磁性纳米颗粒在磁场作用下的角动量方程。由于运动方程的数学复杂性,文章通过保留数学模型里物理特性最显著项来获得工程近似。用计算流体力学(CFD)进行数值仿真,分析了铁磁流体在一个模拟动脉瘤血管的三维管道里的流动状况,来进一步理解铁磁流体的临床应用。仿真结果和动物实验相一致。分析结果对于磁性靶向药物递送的各种应用提供了可参考的数据。

关键词: 磁性靶向药物递送, 铁磁流体, 磁性纳米颗粒, 动力学建模, CFD仿真

Abstract: Among the proposed techniques for delivering drugs to specific locations within human body, magnetic drug targeting prevails due to its non-invasive character and its high targeting efficiency. Magnetic targeting drug delivery is a method of carrying drug-loaded magnetic nanoparticles to a target tissue target under the applied magnetic field. This method increases the drug concentration in the target while reducing the adverse side-effects. Although there have been some theoretical analyses for magnetic drug targeting, very few researchers have addressed the hydrodynamic models of magnetic fluids in the blood vessel. A mathematical model is presented to describe the hydrodynamics of ferrofluids as drug carriers flowing in a blood vessel under the applied magnetic field. In this model, magnetic force and asymmetrical force are added, and an angular momentum equation of magnetic nanoparticles in the applied magnetic field is modeled. Engineering approximations are achieved by retaining the physically most significant items in the model due to the mathematical complexity of the motion equations. Numerical simulations are performed to obtain better insight into the theoretical model with computational fluid dynamics. Simulation results demonstrate the important parameters leading to adequate drug delivery to the target site depending on the magnetic field intensity, which coincident with those of animal experiments. Results of the analysis provide important information and suggest strategies for improving delivery in clinical application.

Key words: ferrofluids, magnetic nanoparticles, hydrodynamic modeling, CFD simulation, magnetic targeting drug delivery

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