Department of Mathematics, Konkuk University, Seoul, Republic of Korea.
Institute of Mathematics, University of the Philippines Diliman, Quezon City, Philippines.
PLoS One. 2019 Apr 22;14(4):e0215547. doi: 10.1371/journal.pone.0215547. eCollection 2019.
Glioblastoma multiforme is one of the most invasive type of glial tumors, which rapidly grows and commonly spreads into nearby brain tissue. It is a devastating brain cancer that often results in death within approximately 12 to 15 months after diagnosis. In this work, optimal control theory was applied to regulate intracellular signaling pathways of miR-451-AMPK-mTOR-cell cycle dynamics via glucose and drug intravenous administration infusions. Glucose level is controlled to activate miR-451 in the up-stream pathway of the model. A potential drug blocking the inhibitory pathway of mTOR by AMPK complex is incorporated to explore regulation of the down-stream pathway to the cell cycle. Both miR-451 and mTOR levels are up-regulated inducing cell proliferation and reducing invasion in the neighboring tissues. Concomitant and alternating glucose and drug infusions are explored under various circumstances to predict best clinical outcomes with least administration costs.
多形性胶质母细胞瘤是最具侵袭性的神经胶质瘤之一,其生长迅速,通常会扩散到附近的脑组织。这是一种破坏性很强的脑癌,通常在诊断后 12 到 15 个月内导致死亡。在这项工作中,最优控制理论被应用于通过葡萄糖和药物静脉输注来调节 miR-451-AMPK-mTOR-细胞周期动力学的细胞内信号通路。通过控制葡萄糖水平来激活模型上游通路中的 miR-451。通过 AMPK 复合物抑制 mTOR 的抑制途径的潜在药物被纳入,以探索对细胞周期下游通路的调控。miR-451 和 mTOR 水平的上调诱导细胞增殖,并减少邻近组织的侵袭。在各种情况下,同时和交替的葡萄糖和药物输注被探索,以预测最佳的临床结果和最少的管理成本。