Upscaling diffusion and reaction processes in multicellular systems considering different cell populations
Upscaling diffusion and reaction processes in multicellular systems considering different cell populations
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DOI：
10.1016/j.ces.2015.11.031
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发表时间：
2016-03
影响因子：
4.7
通讯作者：
Raquel de los Santos-Sánchez;F. Valdés-Parada;Y. Chirino
中科院分区：
文献类型：
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作者：
Raquel de los Santos-Sánchez;F. Valdés-Parada;Y. Chirino
在这项工作中，我们推导了一个质量平衡模型来描述由不同细胞群组成的细胞簇中的扩散和反应过程。这项研究扩展了以前的研究，其中只考虑了一种细胞群的存在。用体积平均法推导了多细胞系统中扩散和反应的放大模型。通过求解简单二维单元胞的闭合问题，预测了放大方程中出现的有效扩散系数。这一有效系数取决于细胞的体积分数、细胞分布以及衡量活细胞物理性质差异的微观扩散率、渗透率和溶解度的比率。研究发现，这些参数值的范围很广，其中考虑不同细胞群的影响很重要，导致有效扩散率的预测与假设只有一种细胞群的预测结果存在误差。
In this work, we derive a mass equilibrium model to describe the diffusion and reaction processes in a cell cluster composed of different cell populations. This study extends previous ones in which the existence of only one type of cell population was considered. The microscopic description is used to derive an upscaled model for diffusion and reaction in multicellular systems using the method of volume averaging. The effective diffusivity coefficient that appears in the upscaled equation is predicted by solving a closure problem in simple 2D unit cells. This effective coefficient depends on the volumetric fraction of the cells, the cell distribution, and the ratios of microscopic diffusivities, permeabilities and solubilities that measure the differences between the physical properties of living cells. It was found that there is a wide range of these parameter values in which the effect of considering different cell populations is important, leading to errors in the predictions of the effective diffusivity with respect to those resulting from assuming that there is only one type of cell population.