Otto H. York Department of Chemical, Biological and Pharmaceutical Engineering, New Jersey Institute of Technology, Newark, NJ 0702, USA.
Math Biosci. 2013 Jul;244(1):58-67. doi: 10.1016/j.mbs.2013.04.004. Epub 2013 Apr 26.
A transient percutaneous drug absorption model was solved in two dimensions. Clearance of the topically-applied pharmaceutical occured at the skin-capillary boundary. Timolol penetration profiles in the dermal tissue were produced revealing concentration gradients in the directions normal and parallel to the skin surface. Ninety-eight percent of the steady-state flux was reached after 85 h or four time constants. The analytical solution procedure agreed with published results. As the clearance rate increased relative to diffusion, the delivery rate and amount of drug absorbed into the bloodstream increased while the time to reach the equilibrium flux decreased. Researchers can apply the closed-form expressions to simulate the process, estimate key parameters and design devices that meet specific performance requirements.
建立了一个二维瞬态经皮药物吸收模型。药物在皮肤-毛细血管边界处经皮清除。产生的 timolol 在真皮组织中的渗透分布显示出垂直和平行于皮肤表面的浓度梯度。98%的稳态通量在 85 小时或四个时间常数后达到。分析解程序与已发表的结果一致。随着清除率相对于扩散的增加，输送速率和吸收到血液中的药物量增加，而达到平衡通量的时间减少。研究人员可以应用封闭形式的表达式来模拟这个过程，估计关键参数并设计满足特定性能要求的装置。
