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

TL;DR

This study compares how polar-polar and polar-nonpolar interactions influence motion ordering in cellular systems, revealing that mutual guiding in polar-polar interactions significantly enhances collective motion and ordering.

Contribution

It introduces a cellular Potts model to analyze the effects of different cell-cell interactions on motion ordering and collective movement in cellular systems.

Findings

Polar-polar interactions induce more efficient motion ordering than polar-nonpolar interactions.

Mutual guiding accelerates collective cell motion significantly.

Effectiveness of interactions depends on cell concentration and surface tension conditions.

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.