In-Silico Modeling of Tumor Spheroid Formation and Growth.
In-Silico Modeling of Tumor Spheroid Formation and Growth.
复制标题
肿瘤球体形成和生长的计算机模拟。
DOI：
10.3390/mi12070749
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发表时间：
2021-06-25
期刊：
影响因子：
3.4
通讯作者：
Nadler B
中科院分区：
文献类型：
--
作者：
Amereh M;Edwards R;Akbari M;Nadler B
数学建模对于理解癌症的生物学模型和加速癌症治疗的跨学科方法的进展具有重要的潜力。在数学生物学中，实体肿瘤球体经常被作为无血管肿瘤的初步体外模型来研究。球体的大小和细胞数量很容易追踪，这使它们成为定量研究肿瘤行为的简单体外模型。实体瘤的生长主要由三个阶段组成：瞬时形成阶段、单调生长阶段和平台期。最后两个阶段得到了广泛的研究。然而，文献中通常缺少初始瞬时形成阶段。这一阶段在早期的生长动力学、克隆亚群的形成等方面是重要的。在本工作中，这一瞬时形成由细胞浓度的反应扩散偏微分方程(PDE)和球体半径的常微分方程(ODE)来模拟。得到了肿瘤球体半径随时间变化的耦合方程的解析解和数值解。对人胶质母细胞瘤(HGB)癌细胞(U251和U87)进行了球状培养，以验证模型的预测。这项研究的结果为了解实体瘤早期形成的机制提供了洞察力。
Mathematical modeling has significant potential for understanding of biological models of cancer and to accelerate the progress in cross-disciplinary approaches of cancer treatment. In mathematical biology, solid tumor spheroids are often studied as preliminary in vitro models of avascular tumors. The size of spheroids and their cell number are easy to track, making them a simple in vitro model to investigate tumor behavior, quantitatively. The growth of solid tumors is comprised of three main stages: transient formation, monotonic growth and a plateau phase. The last two stages are extensively studied. However, the initial transient formation phase is typically missing from the literature. This stage is important in the early dynamics of growth, formation of clonal sub-populations, etc. In the current work, this transient formation is modeled by a reaction–diffusion partial differential equation (PDE) for cell concentration, coupled with an ordinary differential equation (ODE) for the spheroid radius. Analytical and numerical solutions of the coupled equations were obtained for the change in the radius of tumor spheroids over time. Human glioblastoma (hGB) cancer cells (U251 and U87) were spheroid cultured to validate the model prediction. Results of this study provide insight into the mechanism of development of solid tumors at their early stage of formation.
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影响因子：
3.4
作者：
Jiang, Y;Pjesivac-Grbovic, J;Freyer, JP
通讯作者：
Freyer, JP
DOI：
10.1146/annurev-bioeng-071910-124729
发表时间：
2011-08-15
影响因子：
9.7
作者：
Deisboeck TS;Wang Z;Macklin P;Cristini V
通讯作者：
Cristini V
影响因子：
3.5
作者：
Crampin, EJ;Hackborn, WW;Maini, PK
通讯作者：
Maini, PK
DOI：
10.1093/imammb/dqr002
发表时间：
2012-03-01
影响因子：
1.1
作者：
Gu, Stanley;Chakraborty, Gargi;Swanson, Kristin R.
通讯作者：
Swanson, Kristin R.
影响因子：
5.6
作者：
CASCIARI, JJ;SOTIRCHOS, SV;SUTHERLAND, RM
通讯作者：
SUTHERLAND, RM