Bulletin of Mathematical Biology

, Volume 61, Issue 5, pp 807–828

Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion

  • Toshio Sekimura
  • Mei Zhu
  • Julian Cook
  • Philip K. Maini
  • James D. Murray
Article

DOI: 10.1006/bulm.1998.0062

Cite this article as:
Sekimura, T., Zhu, M., Cook, J. et al. Bull. Math. Biol. (1999) 61: 807. doi:10.1006/bulm.1998.0062

Abstract

We present a model for the formation of parallel rows of scale cells in the developing adult wing of moths and butterflies. Precursors of scale cells differentiate throughout each epithelial monolayer and migrate into rows that are roughly parallel to the body axis. Grafting experiments have revealed what appears to be a gradient of adhesivity along the wing. What is more, cell adhesivity character is maintained after grafting. Thus we suggest that it is a cell’s location prior to migration that determines its interactions during migration. We use nonlinear bifurcation analysis to show that differential origin-dependent cell adhesion can result in the stabilization of rows over spots.

Copyright information

© Society for Mathematical Biology 1999

Authors and Affiliations

  • Toshio Sekimura
    • 1
  • Mei Zhu
    • 2
  • Julian Cook
    • 3
  • Philip K. Maini
    • 4
  • James D. Murray
    • 5
  1. 1.College of EngineeringChubu UniversityKasugai, AichiJapan
  2. 2.Department of MathematicsPacific Lutheran UniversityTacomaUSA
  3. 3.Biomathematics Department, AV-633 CHS, School of MedicineUniversity of CaliforniaLos AngelesUSA
  4. 4.Centre for Mathematical Biology, Mathematical InstituteUniversity of OxfordOxfordUK
  5. 5.Department of Applied MathematicsUniversity of WashingtonSeattleUSA