Department of Physics and Astronomy, University of Florence, Via Sansone, 1, 50019, Sesto Fiorentino, Florence, Italy.
Department of Experimental and Clinic Biomedical Sciences "Mario Serio", University of Florence, Viale G. Pieraccini, 6, 50139, Florence, Italy.
Math Biosci. 2020 Dec;330:108482. doi: 10.1016/j.mbs.2020.108482. Epub 2020 Oct 2.
Scratch assay is an easy and widely used "in vitro" technique to study cell migration and proliferation. In this work we focus on its modelling and on the capability to distinguish between these two phenomena that the simpler and common models are not able to disentangle. We adapted a model based on reaction-diffusion equation for being used with common microscopy instruments/data and therefore taking place in the gap between simpler modelling approaches and complex ones. An optimized image analysis pipeline and numerical least-squares fit provide estimates of the scratch proliferation and diffusion coefficients l and D. This work is intended as a first of a series in which the model is tested and its robustness and reproducibility are evaluated. Test samples were NIH3T3 cells scratch assays with proliferation and migration stimulated by varying the foetal bovine serum amount in the culture medium (10%, 7.5%, 5% and 2.5%). Results demonstrate, notwithstanding an expected l-D anticorrelation, the model capability to disentangle them. The 7.5% serum treatment can be identified as the model sensitivity limit. Treat-control l and D variations showed an intra-experiment reproducibility (∼±0.05∕h and ∼±200μm∕h respectively) consistent with single fit typical uncertainties (∼±0.02∕h and ∼±300μm∕h respectively).
划痕实验是一种简单且广泛应用的“体外”技术,用于研究细胞迁移和增殖。在这项工作中,我们专注于它的建模,并研究区分这两种现象的能力,而简单常见的模型无法区分这两种现象。我们对基于反应扩散方程的模型进行了改编,以便与常见的显微镜仪器/数据一起使用,因此位于更简单的建模方法和复杂方法之间的空白地带。优化的图像分析管道和数值最小二乘拟合提供了划痕增殖和扩散系数 l 和 D 的估计值。这项工作旨在作为一系列工作的第一篇,其中将对模型进行测试,并评估其稳健性和重现性。测试样本是 NIH3T3 细胞划痕实验,增殖和迁移是通过改变培养基中胎牛血清的量(10%、7.5%、5%和 2.5%)来刺激的。结果表明,尽管存在预期的 l-D 反相关,但该模型能够区分它们。7.5%血清处理可被视为模型的灵敏度极限。处理-对照 l 和 D 的变化显示出实验内的重现性(分别约为±0.05/h 和±200μm/h),与单个拟合的典型不确定性(分别约为±0.02/h 和±300μm/h)一致。