4.6 Article

Modelling stripe formation in zebrafish: an agent-based approach

Journal

JOURNAL OF THE ROYAL SOCIETY INTERFACE
Volume 12, Issue 112, Pages -

Publisher

ROYAL SOC
DOI: 10.1098/rsif.2015.0812

Keywords

zebrafish; pattern formation; agent-based model; growing domain

Funding

  1. NSF [DMS-1148284, DMS-0907904, DMS-1409742, DGE-0228243]
  2. Division Of Mathematical Sciences
  3. Direct For Mathematical & Physical Scien [1148284] Funding Source: National Science Foundation
  4. Division Of Mathematical Sciences
  5. Direct For Mathematical & Physical Scien [1408742] Funding Source: National Science Foundation

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Zebrafish have distinctive black stripes and yellow interstripes that form owing to the interaction of different pigment cells. We present a two-population agent-based model for the development and regeneration of these stripes and interstripes informed by recent experimental results. Our model describes stripe pattern formation, laser ablation and mutations. We find that fish growth shortens the necessary scale for long-range interactions and that iridophores, a third type of pigment cell, help align stripes and interstripes.

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