Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran.
Department of Electrical and Computer Engineering, University of Waterloo, 200 University Ave., Waterloo, ON, N2L3G1, Canada.
Sci Rep. 2021 Sep 29;11(1):19350. doi: 10.1038/s41598-021-98638-w.
One of the special features of solid tumors is the acidity of the tumor microenvironment, which is mainly due to the presence of hypoxic regions. Therefore, pH-responsive drug delivery systems have recently been highly welcomed. In the present study, a comprehensive mathematical model is presented based on extravascular drug release paradigm. Accordingly, drug delivery system using pH-responsive nanocarriers is taken into account to examine the impacts of hypoxic regions as well as the size of nanocarriers for cancerous cell-death. The extent of hypoxic regions is controlled by vascular density. This means that regions with very low vascular density represent regions of hypoxia. Using this mathematical model, it is possible to simulate the extracellular and intracellular concentrations of drug by considering the association/disassociation of the free drug to the cell-surface receptors and cellular uptake. Results show that nanocarriers with smaller sizes are more effective due to higher accumulation in the tumor tissue interstitium. The small size of the nanocarriers also allows them to penetrate deeper, so they can expose a larger portion of the tumor to the drug. Additionally, the presence of hypoxic regions in tumor reduces the fraction of killed cancer cells due to reduced penetration depth. The proposed model can be considered for optimizing and developing pH-sensitive delivery systems to reduce both cost and time of the process.
实体瘤的一个特点是肿瘤微环境的酸度,这主要是由于缺氧区域的存在。因此,最近人们高度欢迎 pH 响应型药物输送系统。在本研究中,提出了一个基于血管外药物释放范例的综合数学模型。相应地,考虑使用 pH 响应纳米载体的药物输送系统,以研究缺氧区域以及纳米载体的大小对癌细胞死亡的影响。缺氧区域的程度由血管密度控制。这意味着血管密度非常低的区域代表缺氧区域。使用这个数学模型,可以通过考虑游离药物与细胞表面受体的结合/解离以及细胞摄取来模拟细胞外和细胞内的药物浓度。结果表明,由于在肿瘤组织间质中的更高积累,较小尺寸的纳米载体更有效。纳米载体的小尺寸还允许它们更深入地穿透,因此它们可以使更大比例的肿瘤暴露于药物。此外,肿瘤中缺氧区域的存在由于穿透深度降低而降低了杀死的癌细胞的分数。可以考虑提出的模型来优化和开发 pH 敏感的输送系统,以降低该过程的成本和时间。