Department of Mathematics, Konkuk University, Seoul, Republic of Korea.
Mathematical Biosciences Institute, Ohio State University, Columbus, Ohio, United States of America.
PLoS One. 2018 Oct 4;13(10):e0204865. doi: 10.1371/journal.pone.0204865. eCollection 2018.
The cellular dispersion and therapeutic control of glioblastoma, the most aggressive type of primary brain cancer, depends critically on the migration patterns after surgery and intracellular responses of the individual cancer cells in response to external biochemical cues in the microenvironment. Recent studies have shown that miR-451 regulates downstream molecules including AMPK/CAB39/MARK and mTOR to determine the balance between rapid proliferation and invasion in response to metabolic stress in the harsh tumor microenvironment. Surgical removal of the main tumor is inevitably followed by recurrence of the tumor due to inaccessibility of dispersed tumor cells in normal brain tissue. In order to address this complex process of cell proliferation and invasion and its response to conventional treatment, we propose a mathematical model that analyzes the intracellular dynamics of the miR-451-AMPK- mTOR-cell cycle signaling pathway within a cell. The model identifies a key mechanism underlying the molecular switches between proliferative phase and migratory phase in response to metabolic stress in response to fluctuating glucose levels. We show how up- or down-regulation of components in these pathways affects the key cellular decision to infiltrate or proliferate in a complex microenvironment in the absence and presence of time delays and stochastic noise. Glycosylated chondroitin sulfate proteoglycans (CSPGs), a major component of the extracellular matrix (ECM) in the brain, contribute to the physical structure of the local brain microenvironment but also induce or inhibit glioma invasion by regulating the dynamics of the CSPG receptor LAR as well as the spatiotemporal activation status of resident astrocytes and tumor-associated microglia. Using a multi-scale mathematical model, we investigate a CSPG-induced switch between invasive and non-invasive tumors through the coordination of ECM-cell adhesion and dynamic changes in stromal cells. We show that the CSPG-rich microenvironment is associated with non-invasive tumor lesions through LAR-CSGAG binding while the absence of glycosylated CSPGs induce the critical glioma invasion. We illustrate how high molecular weight CSPGs can regulate the exodus of local reactive astrocytes from the main tumor lesion, leading to encapsulation of non-invasive tumor and inhibition of tumor invasion. These different CSPG conditions also change the spatial profiles of ramified and activated microglia. The complex distribution of CSPGs in the tumor microenvironment can determine the nonlinear invasion behaviors of glioma cells, which suggests the need for careful therapeutic strategies.
脑胶质瘤是最具侵袭性的原发性脑癌,其细胞扩散和治疗控制取决于手术后的迁移模式和癌细胞对微环境中外源生化信号的细胞内反应。最近的研究表明,miR-451 通过调节下游分子 AMPK/CAB39/MARK 和 mTOR 来决定在恶劣的肿瘤微环境中应对代谢应激时快速增殖和侵袭之间的平衡。由于正常脑组织中分散的肿瘤细胞无法到达,因此手术切除主要肿瘤后,肿瘤必然会复发。为了解决细胞增殖和侵袭的这一复杂过程及其对常规治疗的反应,我们提出了一个数学模型,该模型分析了细胞内 miR-451-AMPK-mTOR 细胞周期信号通路的动力学。该模型确定了分子开关的关键机制,这些分子开关在代谢应激下响应波动的葡萄糖水平在增殖期和迁移期之间转换。我们展示了这些通路中的成分上调或下调如何影响在没有和存在时间延迟和随机噪声的情况下,在复杂的微环境中浸润或增殖的关键细胞决策。糖基化软骨素硫酸蛋白聚糖(CSPGs)是大脑细胞外基质(ECM)的主要成分,有助于局部脑微环境的物理结构,但通过调节 CSPG 受体 LAR 的动力学以及驻留星形胶质细胞和肿瘤相关小胶质细胞的时空激活状态,也可以诱导或抑制胶质瘤的侵袭。使用多尺度数学模型,我们通过 ECM-细胞黏附的协调以及基质细胞的动态变化来研究 CSPG 诱导的侵袭性和非侵袭性肿瘤之间的转换。我们表明,富含 CSPG 的微环境与通过 LAR-CSGAG 结合的非侵袭性肿瘤病变有关,而缺乏糖基化 CSPGs 则诱导关键的胶质瘤侵袭。我们说明了高分子量 CSPGs 如何调节局部反应性星形胶质细胞从主要肿瘤病变中迁出,导致非侵袭性肿瘤的包裹和肿瘤侵袭的抑制。这些不同的 CSPG 条件也改变了分枝状和激活的小胶质细胞的空间分布。肿瘤微环境中 CSPG 的复杂分布可以决定神经胶质瘤细胞的非线性侵袭行为,这表明需要谨慎的治疗策略。