Modeling Stripe Formation on Growing Zebrafish Tailfins

Bull Math Biol. 2020 Apr 30;82(5):56. doi: 10.1007/s11538-020-00731-0.

Abstract

As zebrafish develop, black and gold stripes form across their skin due to the interactions of brightly colored pigment cells. These characteristic patterns emerge on the growing fish body, as well as on the anal and caudal fins. While wild-type stripes form parallel to a horizontal marker on the body, patterns on the tailfin gradually extend distally outward. Interestingly, several mutations lead to altered body patterns without affecting fin stripes. Through an exploratory modeling approach, our goal is to help better understand these differences between body and fin patterns. By adapting a prior agent-based model of cell interactions on the fish body, we present an in silico study of stripe development on tailfins. Our main result is a demonstration that two cell types can produce stripes on the caudal fin. We highlight several ways that bone rays, growth, and the body-fin interface may be involved in patterning, and we raise questions for future work related to pattern robustness.

Keywords: Agent-based model; Growing domain; Pattern formation; Self-organization; Tailfin; Zebrafish.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Animal Fins / anatomy & histology
  • Animal Fins / cytology
  • Animal Fins / growth & development
  • Animals
  • Body Patterning / genetics
  • Body Patterning / physiology
  • Cell Communication / physiology
  • Cell Differentiation / physiology
  • Cell Movement / physiology
  • Computer Simulation
  • Epithelium / growth & development
  • Mathematical Concepts
  • Models, Biological*
  • Mutation
  • Skin Pigmentation / genetics
  • Skin Pigmentation / physiology
  • Systems Analysis
  • Zebrafish / genetics
  • Zebrafish / growth & development*
  • Zebrafish / physiology