# Cell Motion Alignment as Polarity Memory Effect

## TL;DR

This paper investigates how polarity memory in cells influences their collective motion alignment, using a theoretical cellular Potts model, revealing that polarity memory can cause cells to align their movement when persistence exceeds average cell spacing.

## Contribution

It introduces a theoretical framework demonstrating that polarity memory effects can lead to cell motion alignment, expanding understanding of collective cell migration mechanisms.

## Key findings

- Polarity memory can align cell motion in collective migration.
- Alignment occurs when trajectory persistence exceeds average cell-cell distance.
- The study provides a theoretical basis for polarity-driven collective behavior.

## Abstract

The clarification of the motion alignment mechanism in collective cell migration is an important issue commonly in physics and biology. In analogy with the self-propelled disk, the polarity memory effect of eukaryotic cell is a fundamental candidate for this alignment mechanism. In the present paper, we theoretically examine the polarity memory effect for the motion alignment of cells on the basis of the cellular Potts model. We show that the polarity memory effect can align motion of cells. We also find that the polarity memory effect emerges for the persistent length of cell trajectories longer than average cell-cell distance.