Near-infrared light-controlled transdermal drug delivery (NIRTDD) has several advantages over traditional delivery methods, and it is now undergoing extensive research. One prominent aspect of NIRTDD is the possibility of keeping the drug concentration in its optimal therapeutic window using a suitable near-infrared light protocol. The problem is that this ideal protocol is usually unknown. In this paper, we propose a computational tool that aims at solving this issue. The computational tool relies on an optimization problem involving the numerical simulation of a two-dimensional mathematical model for NIRTDD. We also analyze the convergence and stability of a finite difference spatial scheme for a generalized version of this mathematical model.

近红外光控透皮给药 (NIRTDD) 与传统给药方式相比具有多项优势，目前正在开展广泛的研究。NIRTDD 的一个突出方面是使用合适的近红外光协议将药物浓度保持在其最佳治疗窗口的可能性。问题是这个理想的协议通常是未知的。在本文中，我们提出了一种旨在解决此问题的计算工具。该计算工具依赖于一个优化问题，该问题涉及 NIRTDD 的二维数学模型的数值模拟。我们还分析了该数学模型的广义版本的有限差分空间方案的收敛性和稳定性。