Modelling the Molecular Transportation of Subcutaneously Injected Salubrinal

IF 2.3 Q3 ENGINEERING, BIOMEDICAL
Andy B. Chen, Ping Zhang, Z. Duan, Guofeng Wang, H. Yokota
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引用次数: 1

Abstract

For the subcutaneous administration of a chemical agent (salubrinal), we constructed a mathematical model of molecule transportation and subsequently evaluated the kinetics of diffusion, convection, and molecular turnover. Salubrinal is a potential therapeutic agent that can reduce cellular damage and death. The understanding of its temporal profiles in local tissue as well as in a whole body is important to develop a proper strategy for its administration. Here, the diffusion and convection kinetics was formulated using partial and ordinary differential equations in one- and three-dimensional (semi-spherical) coordinates. Several key parameters including an injection velocity, a diffusion coefficient, thickness of subcutaneous tissue, and a permeability factor at the tissue-blood boundary were estimated from experimental data in rats. With reference to analytical solutions in a simplified model without convection, numerical solutions revealed that the diffusion coefficient and thickness of subcutaneous tissue determined the timing of the peak concentration in the plasma, and its magnitude was dictated by the permeability factor. Furthermore, the initial velocity, induced by needle injection, elevated an immediate transport of salubrinal at t < 1h. The described analysis with a combination of partial and ordinary differential equations contributes to the prediction of local and systemic effects and the understanding of the transportation mechanism of salubrinal and other agents.
皮下注射Salubrinal的分子运输模型
对于化学制剂(salubrinal)的皮下给药,我们构建了分子运输的数学模型,并随后评估了扩散、对流和分子周转的动力学。Salubrinal是一种潜在的治疗药物,可以减少细胞损伤和死亡。了解其在局部组织和整个身体中的时间概况对于制定适当的管理策略非常重要。在这里,扩散和对流动力学用偏微分方程和常微分方程在一维和三维(半球面)坐标下表示。根据大鼠的实验数据,估计了注射速度、扩散系数、皮下组织厚度和组织-血液边界的渗透系数等几个关键参数。参考简化模型中无对流的解析解,数值解表明,扩散系数和皮下组织厚度决定了血浆中浓度峰值的时间,其大小由渗透因子决定。此外,针注射诱导的初始速度在t < 1h时增加了钠盐的即时转运。所描述的结合偏微分方程和常微分方程的分析有助于局部和系统效应的预测,以及对盐和其他物质的运输机制的理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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