数学模型定量TGF对癌细胞的增殖和运动作用
A mathematical model quantifies proliferation and motility effects of TGF--$β$ on cancer cells
摘要：
已知转化生长因子（TGF）$β$具有肿瘤抑制剂和肿瘤促进剂的性质。在抑制细胞增殖的同时，它还增加细胞运动性并降低细胞-细胞黏附。结合数学模型和实验，我们研究了表达癌基因的人乳腺上皮细胞在TGF-β- $β$作用下的生长和运动。我们使用一个版本的著名的Fisher-Kolmogorov方程，并规定其参数化的程序。我们量化了TGF-β- $β$的同时作用，以增加单个细胞和细胞簇随机移动的趋势，并降低总体群体生长。我们证明，在用TGF-β- $β$处理的细胞\textit{in vitro}的实验中，与未处理的细胞相比，TGF-β- $β$使细胞运动性增加2倍，并使细胞增殖减少1/2倍。
英文摘要：
Transforming growth factor (TGF) $β$ is known to have properties of both a tumor suppressor and a tumor promoter. While it inhibits cell proliferation, it also increases cell motility and decreases cell--cell adhesion. Coupling mathematical modeling and experiments, we investigate the growth and motility of oncogene--expressing human mammary epithelial cells under exposure to TGF--$β$. We use a version of the well--known Fisher--Kolmogorov equation, and prescribe a procedure for its parametrization. We quantify the simultaneous effects of TGF--$β$ to increase the tendency of individual cells and cell clusters to move randomly and to decrease overall population growth. We demonstrate that in experiments with TGF--$β$ treated cells \textit{in vitro}, TGF--$β$ increases cell motility by a factor of 2 and decreases cell proliferation by a factor of 1/2 in comparison with untreated cells.
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