Istituto per le Applicazioni del Calcolo, CNR, Via dei Taurini 19, 00185 Rome, Italy.
School of Mathematical Sciences, Queensland University of Technology (QUT), Brisbane, Australia.
Phys Rev E. 2020 Aug;102(2-1):023114. doi: 10.1103/PhysRevE.102.023114.
We present a mechanistic model of drug release from a multiple emulsion into an external surrounding fluid. We consider a single multilayer droplet where the drug kinetics are described by a pure diffusive process through different liquid shells. The multilayer problem is described by a system of diffusion equations coupled via interlayer conditions imposing continuity of drug concentration and flux. Mass resistance is imposed at the outer boundary through the application of a surfactant at the external surface of the droplet. The two-dimensional problem is solved numerically by finite volume discretization. Concentration profiles and drug release curves are presented for three typical round-shaped (circle, ellipse, and bullet) droplets and the dependency of the solution on the mass transfer coefficient at the surface analyzed. The main result shows a reduced release time for an increased elongation of the droplets.
我们提出了一种从多层乳液向外部环境流体中释放药物的机制模型。我们考虑了一个单一的多层液滴，其中药物动力学通过不同液体壳层的纯扩散过程来描述。多层问题通过一组扩散方程来描述，这些方程通过层间条件耦合在一起，从而强制药物浓度和通量的连续性。在外边界处施加质量阻力，通过在液滴的外表面施加表面活性剂来实现。二维问题通过有限体积离散化进行数值求解。针对三种典型的圆形（圆形、椭圆形和子弹形）液滴，给出了浓度分布和药物释放曲线，并分析了表面传质系数对解的依赖性。主要结果表明，随着液滴伸长率的增加，释放时间缩短。
