Skip to main content
Log in

Ordre quasicristallin dans les matrices extracellulaires

  • Published:
Acta Biotheoretica Aims and scope Submit manuscript

Abstract

In this note we argue that the theoretical approach, developed in the field of quasicrystals, may prove to be useful in a completely different area, namely biology, and more precisely for the transmission electron microscopy observation of biological structures this sections. Whenever the real three-dimensional structure is periodic, a generic cut will produce a quasiperiodic pattern. This is illustrated in a “theoretical” example inspired by the 3D organization of annelid cuticle. In addition, we discuss recent results on dislocations in quasicrystals, and their possible consequence about observation in biology. Finally, this analysis could be extended to images obtained from other technics, like freeze-fracture, and other materials, provided that certain length scale relations be satisfied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References Please make the list of references complete.

  • Bohsung, J. et H.R. Trebin (1989). Title. In: M.V. Jarie, ed. Aperiodicity and Order. New York, Academic Press.

    Google Scholar 

  • Bouligand, Y. (1965). Title. C. R. Acad. Sci. Pris 261: 3665-....

    Google Scholar 

  • Bouligand, Y. (1972). Title. Tiss. cell 4: 189-....

    Article  Google Scholar 

  • Bouligand, Y. (1981a). Title. In: R. Balian et al., eds. Physics of Defects, p.667-.... Amsterdam, NorthHolland Publ. Comp.

    Google Scholar 

  • Bouligand, Y. (19816). Title. In: R. Balian et al., eds. Physics of Defects, p.779-.... Amsterdam, NorthHolland Publ. Comp.

    Google Scholar 

  • Devaud-Rzepski, J., M. Cormier-Quinquandon and D. Gratias (sous presse). Title. In: Name editor(s). 3° Conference on Quasicrystals, Mexico 1989. Town, Publisher.

  • Duneau, M. and A. Katz (1985). Title. Phys. Rev. Lett 54: 2688-...

    Article  Google Scholar 

  • Gaill, F. et Y. Bouligand (1987a). Title. Tiss Cell 19: 625-....

    Article  Google Scholar 

  • Gaill, F. et Y. Bouligand (1987b). Title. Mol. Cryst. Liq. Cryst. 153: 31-....

    Google Scholar 

  • Giraud-Guille, M.M. (1989). Title. Biol. Cell 67: 97-...

    Article  Google Scholar 

  • Grand, M.M., J. Castanet, F.J. Meunier and Y. Bouligand (1978). Title. Tiss. cell 10: 671-...

    Article  Google Scholar 

  • Kleman, M. (1987). Points, Lignes, Parois. Town, Ed. Physiques.

    Google Scholar 

  • Kleman, M. (1988). Title. In: C. Janot & J.M. Dubois, eds. Quasicrystalline materials III-Codest Workshop. Town, World Scientific.

    Google Scholar 

  • Lepescheux, L. (1988). Title. Biol. Cell 62: 17-...

    Article  Google Scholar 

  • Lepescheux, L. (1989). Le collagène cuticulaire des annélides, organisation tridimensionnelle et autoassemblage. Thèse Paris.

  • Livolant, F. (1986). Title. J. Physique 47: 1605-....

    Article  Google Scholar 

  • Livolant, F., A.M. Levelut, J. Doucet and J.P. Denoit (1989). Title. Nature 339: 6227-....

    Article  Google Scholar 

  • Mosseri, R. (1988). Title. In: Name editor(s). Universalities in condensed Matter. Berlin, Springer.

    Google Scholar 

  • Roland, J.C., D. Reis, B. Vian and S. Roy (1989). Title. Biol. Cell 67: 209-....

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Cette note reprend le contenu d'une note présentée à L'Académie des Sciences à paraître en 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gaill, F., Mosseri, R. Ordre quasicristallin dans les matrices extracellulaires. Acta Biotheor 40, 261–267 (1992). https://doi.org/10.1007/BF00168154

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00168154

Navigation