Abstract

Collective migration of eukaryotic cells plays a fundamental role in tissue growth, wound healing and immune response. The motion, arising spontaneously or in response to chemical and mechanical stimuli, is also important for understanding life-threatening pathologies, such as cancer and metastasis formation. We present a phase-field model to describe the movement of many self-organized, interacting cells. The model takes into account the main mechanisms of cell motility – acto-myosin dynamics, as well as substrate-mediated and cell-cell adhesion. It predicts that collective cell migration emerges spontaneously as a result of inelastic collisions between neighboring cells: collisions lead to a mutual alignment of the cell velocities and to the formation of coherently-moving multi-cellular clusters. Small cell-to-cell adhesion, in turn, reduces the propensity for large-scale collective migration, while higher adhesion leads to the formation of moving bands. Our study provides valuable insight into biological processes associated with collective cell motility.

Highlights

  • Collective migration of eukaryotic cells plays a fundamental role in tissue growth, wound healing and immune response

  • It predicts that collective cell migration emerges spontaneously as a result of inelastic collisions between neighboring cells: collisions lead to a mutual alignment of the cell velocities and to the formation of coherently-moving multi-cellular clusters

  • W hile a significant effort was focused on understanding the mechanics, dynamics and motility of individual cells, the processes determining collective cell migration remain elusive to a large extent

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Summary

Introduction

Collective migration of eukaryotic cells plays a fundamental role in tissue growth, wound healing and immune response. There is a variety of modeling approaches to collective cell migration, including Vicsek-type models of selfpropelled particles without[24] or with inter-particle adhesion[25,26,27,28], particle-based approaches[29], lattice models[5,30] and elastic spring models[31] of epithelial spreading/wound healing, as well as phenomenological continuum theories focusing on various aspects[32,33,34,35,36,37,38,39] All these approaches neglect the crucial dynamics associated with individual cell deformations Intermediate cell adhesion leads to transient multi-cell clusters and to an overall suppression of collective migration

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