Modeling the uptake of fluorescent molecules into 3D cellular spheroids

Modeling the uptake of fluorescent molecules into 3D cellular spheroids
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DOI:
10.15388/na.2019.5.9
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发表时间:
2019-01-01
影响因子:
2
通讯作者:
Rotomskis, Ricardas
Rotomskis, Ricardas
中科院分区:
数学4区
文献类型:
--
作者:
Astrauskas, Rokas;Ivanauskas, Feliksas;Rotomskis, Ricardas

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三个数学模型被开发来分析荧光染料渗透到三维细胞球体的动力学。选择两种荧光染料验证数学模型:罗丹明6 G(R6 G)作为小分子,可自由穿透细胞;麦胚凝集素(WGA)与Alexa 488荧光标记物结合,与细胞质膜反应,其细胞穿透性明显较低。染料渗透和结合到细胞的非线性扩散反应方程建模。用数值方法求解微分方程组,与物理实验结果吻合良好。测定两种荧光染料在细胞外基质中的扩散系数,并分析反应参数对WGA渗透的影响。染料积累到细胞球体的动力学也被确定。
Three mathematical models were developed to analyze the dynamics of fluorescent dyes penetration into 3D cellular spheroids. Two fluorescent dyes were chosen to verify mathematical models: rhodamine 6G (R6G) as a small molecule, which can freely penetrate through the cells, and wheat germ agglutinin (WGA) conjugated with Alexa488 fluorescent label, which reacts with the cells plasma membrane, and its cellular penetration is significantly lower. Dye penetration and binding to cells were modeled with nonlinear diffusion-reaction equations. System of differential equations was solved using numerical methods, and good correspondence with physical experiment was shown. Diffusion coefficients in extracellular matrix were determined for both fluorescent dyes, and the influence of reactions parameters to WGA penetration was analyzed. Dynamics of dyes accumulation into cell spheroids were also determined.