Cell-cell adhesion cannot sustain extended follower streams in a minimal non-local model of leader-follower migration
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917414308937728 |
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| author | Jewell, Thomas Jun Johnson, Samuel W. S. Baker, Ruth E. Maini, Philip K. |
| author_facet | Jewell, Thomas Jun Johnson, Samuel W. S. Baker, Ruth E. Maini, Philip K. |
| contents | Cell-cell adhesion is widely hypothesised to maintain cohesion within the long streams of follower cells that trail leader subpopulations during collective migration, including in neural crest cell migration, angiogenesis, and cancer cell invasion. Mathematically, non-local advection-diffusion equations provide the canonical continuum framework within which to study such adhesive cell-cell interactions. Here, we study a minimal model of leader-follower migration within this framework, in which leaders migrate at constant velocity while followers are attracted to leaders and to one another over a finite spatial interaction range. Numerical simulations reveal that, although the model can maintain small cohorts of travelling follower cells, the size of these cohorts is limited by the adhesive interaction lengthscale, and is far below what is needed to reproduce the extended streams observed in vivo. This points to a structural limitation of the standard non-local adhesion formulation and highlights the need for the development of extended continuum models capable of sustaining long, coherent migratory streams through purely mass-conserving collective cell movement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15283 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cell-cell adhesion cannot sustain extended follower streams in a minimal non-local model of leader-follower migration Jewell, Thomas Jun Johnson, Samuel W. S. Baker, Ruth E. Maini, Philip K. Cell Behavior Adaptation and Self-Organizing Systems Cell-cell adhesion is widely hypothesised to maintain cohesion within the long streams of follower cells that trail leader subpopulations during collective migration, including in neural crest cell migration, angiogenesis, and cancer cell invasion. Mathematically, non-local advection-diffusion equations provide the canonical continuum framework within which to study such adhesive cell-cell interactions. Here, we study a minimal model of leader-follower migration within this framework, in which leaders migrate at constant velocity while followers are attracted to leaders and to one another over a finite spatial interaction range. Numerical simulations reveal that, although the model can maintain small cohorts of travelling follower cells, the size of these cohorts is limited by the adhesive interaction lengthscale, and is far below what is needed to reproduce the extended streams observed in vivo. This points to a structural limitation of the standard non-local adhesion formulation and highlights the need for the development of extended continuum models capable of sustaining long, coherent migratory streams through purely mass-conserving collective cell movement. |
| title | Cell-cell adhesion cannot sustain extended follower streams in a minimal non-local model of leader-follower migration |
| topic | Cell Behavior Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2604.15283 |