Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada.
Comput Math Methods Med. 2011;2011:790721. doi: 10.1155/2011/790721. Epub 2011 Mar 8.
The combination of cytotoxic therapies and antiangiogenic agents is emerging as a most promising strategy in the treatment of malignant tumors. However, the timing and sequencing of these treatments seem to play essential roles in achieving a synergic outcome. Using a mathematical modeling approach that is grounded on available experimental data, we investigate the spatial and temporal targeting of tumor cells and neovasculature with a nanoscale delivery system. Our model suggests that the experimental success of the nanoscale delivery system depends crucially on the trapping of chemotherapeutic agents within the tumor tissue. The numerical results also indicate that substantial further improvements in the efficiency of the nanoscale delivery system can be achieved through an adjustment of the temporal targeting mechanism.
细胞毒性疗法和抗血管生成药物的联合应用正在成为治疗恶性肿瘤最有前途的策略。然而,这些治疗的时间和顺序似乎在实现协同效果方面起着至关重要的作用。我们使用基于现有实验数据的数学建模方法,研究了纳米递药系统对肿瘤细胞和新生血管的时空靶向作用。我们的模型表明,纳米递药系统的实验成功在很大程度上取决于化疗药物在肿瘤组织内的捕获。数值结果还表明,通过调整时间靶向机制,可以显著提高纳米递药系统的效率。