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2001 Fiscal Year Final Research Report Summary

Pattern formation in developmental biology and cell-cell interaction

Research Project

Project/Area Number 12834010
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

MOCHIZUKI Atsushi  Faculty of Science, KYUSHU UNIVERSITY, Assistant Professor, 大学院・理学研究院, 助手 (10304726)

Co-Investigator(Kenkyū-buntansha) IWASA Yo  Faculty of Science, KYUSHU UNIVERSITY, Professor, 大学院・理学研究院, 教授 (70176535)
Project Period (FY) 2000 – 2001
KeywordsMathematical Biology / Developmental Biology / Theoretical biology / Applied Mathematics / Biophysics
Research Abstract

In fish retinas, cone photoreceptor cells are arranged in two-dimensional regular patterns, called cone mosaics. In the zebrafish retina, four subtypes of cone cells, which are maximally sensitive to different wave length of light, appear in quasi-periodic patterns. The pattern formation mechanism is unknown. Here, I develop a mathematical model to examine whether cell adhesion can explain the formation of the zebrafish mosaic. I assume that the movement of differentiated cells is responsible for generating the pattern, and that the movement rate is modified by cell adhesion. The pattern is formed if the magnitudes of cell adhesion between cell types are chosen appropriately. I determine the conditions of cell adhesion for generating the pattern. I also compare this cell rearrangement model with a previously studied model in which the pattern is formed by transitions of cell fate. The condition for obtaining the focal pattern is looser in the cell rearrangement model than in the fate transition model.
Formation of periodic patterns in animal skins has been explained by the reaction-diffusion (RD) system proposed by Turing (1). However, there is no explanation for mechanism of directionality of stripes. Here, we propose a hypothesis that anisotropy of diffusion may be caused by skin-structure. We compared the pattern formation of two species of Genicanthus that share almost identical shapes except for direction. Computational analysis shows that adding diffusion-anisotropy to the RD model can explain all the features observed in Genicanthus. From the analyses, a small change in skin-structure is enough to cause a marked change in stripe-direction.

  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] Shoji, H., Mochizuki, A., Iwasa, Y., Kondo, S.: "Directionality of Stripes Formed by Anisotropic Reaction-Diffusion Models"J.Theor. Biol.. 214. 549-561 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Honda, H., Mochizuki, A.: "Formation and maintenance of distinctive cell patterns by co-expression of membrane-bound ligands and their receptors"Dev. Dyn.. 223. 180-192 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Mochizuki, A.: "attern formation of cone mosaic in zebrafish retina : A Cell rearrangement model"Journal of Theoretical Biology. (In press).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kurosawa, G., Mochizuki, A., Iwasa, Y.: "Processes promoting oscillations --comparative study of circadian clock models"Journal of Theoretical Biology. (In press).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Shoji, H., Mochizuki, A., Iwasa, Y. and Kondo, S.: "Directionality of Stripes Formed by Anisotropic Reaction-Diffusion Models"J. Theor. Biol.. 214. 549-561 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Honda, H. and Mochizuki, A.: "Formation and maintenance of distinctive cell patterns by co-expression of membrane-bound ligands and their receptors"Dev. Dyn.. 223. 180-192 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Mochizuki, A.: "Pattern formation of cone mosaic in zebraflsh retina: A Cell rearrangement model"J. Theor. Biol.. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kurosawa, G., Mochizuki, A. and Iwasa, Y.: "Processes promoting oscillations - comparative study of circadian clock models"J. Theor. Biol.. (in press).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2003-09-17  

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