Mathematical Model of Macromolecular Drug Transport in a Partially Liquefied Vitreous Humor.
Mathematical Model of Macromolecular Drug Transport in a Partially Liquefied Vitreous Humor.
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部分液化玻璃体液中大分子药物转运的数学模型。
DOI：
10.1115/1.4053197
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Sadhal,SatwindarSingh
中科院分区：
文献类型：
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作者：
Khoobyar,Anahid;Penkova,AnitaN;Humayun,MarkS;Sadhal,SatwindarSingh
本研究的目的是研究玻璃体房水的部分液化(由于老化)对眼部药物运输的影响。在我们的模型中，玻璃体的凝胶部分被视为达西型多孔介质。玻璃体多孔部分内的球形区域处于液体状态，出于计算目的，该区域也被视为多孔介质，但具有更高的渗透性。用有限元方法建立了一个含时的三维模型，用Petrov-Galerkin方法对玻璃体内注入的同时存在对流和扩散的大分子的输运过程进行了数值模拟。从流体物理和输运现象的角度来看，结果显示了许多有趣的特征。对于通过玻璃体的压力驱动的流动，当流动寻找最快的传播路径时，流线会聚到液化区。此外，正如预期的那样，随着液化程度的增加，对于给定的压降，总体流量会增加。出于各种几何方面的考虑，我们对这种影响进行了量化。液化区的汇流对对流输送具有重要意义。其中一个影响是，当药物到达液化区时，它会明显转移。在某些情况下，由于液化，药物在视网膜区域的入口点会略有移动。虽然该模型有许多近似和假设，但重点是说明液化作为构建块之一的影响，从而建立一个全面的模型。
The purpose of this study is to investigate the effect of partial liquefaction (due to ageing) of the vitreous humor on the transport of ocular drugs. In our model, the gel part of the vitreous is treated as a Darcy-type porous medium. A spherical region within the porous part of vitreous is in a liquid state which, for computational purposes, is also treated as a porous medium but with a much higher permeability. Using the finite element method, a time-dependent, three-dimensional model has been developed to computationally simulate (using the Petrov–Galerkin method) the transport of intravitreally injected macromolecules where both convection and diffusion are present. From a fluid physics and transport phenomena perspective, the results show many interesting features. For pressure-driven flow across the vitreous, the flow streamlines converge into the liquefied region as the flow seeks the fastest path of travel. Furthermore, as expected, with increased level of liquefaction, the overall flow rate increases for a given pressure drop. We have quantified this effect for various geometrical considerations. The flow convergence into the liquefied region has important implication for convective transport. One effect is the clear diversion of the drug as it reaches the liquefied region. In some instances, the entry point of the drug in the retinal region gets slightly shifted due to liquefaction. While the model has many approximations and assumptions, the focus is illustrating the effect of liquefaction as one of the building blocks toward a fully comprehensive model.