Motion Ordering in Cellular Polar-polar and Polar-nonpolar Interactions

Katsuyoshi Matsushita, Taiko Arakaki, Koichi Fujimoto
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Abstract

We examine the difference in motion ordering between cellular systems with and without information transfer to evaluate the effect of the polar--polar interaction through mutual guiding, which enables cells to inform other cells of their moving directions. We compare this interaction with the polar--nonpolar interaction through cell motion triggered by cellular contact, which cannot provide information on the moving directions. We model these interactions on the basis of the cellular Potts model. We calculate the order parameter of the polar direction in the interactions and examine the cell concentration and surface tension conditions of ordering. The results suggest that the polar--polar interaction through mutual guiding efficiently induces the motion ordering in comparison with the polar-nonpolar interaction for contact triggering, except in cases of weak driving. The results also show that the polar--polar interaction efficiently accelerates the collective motion compared with the polar--nonpolar interaction.
细胞极性-极性和极性-非极性相互作用中的运动排序
我们研究了有信息传递和无信息传递的细胞系统在运动排序上的差异,以评估通过相互引导实现的极性-极性相互作用的效果,这种相互作用使细胞能够将其运动方向告知其他细胞。我们将这种相互作用与细胞接触引发的细胞运动所产生的极性-非极性相互作用进行了比较,后者不能提供运动方向的信息。我们在细胞波特斯模型的基础上建立了这些相互作用的模型。我们计算了相互作用中极性方向的有序参数,并研究了有序的细胞浓度和表面张力条件。结果表明,与接触触发的极性-非极性相互作用相比,通过相互引导的极性-极性相互作用能有效地诱导运动排序,但在弱驱动情况下除外。结果还表明,与极性-非极性相互作用相比,极性-极性相互作用能有效地加速集体运动。
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