Skip to main content

Finite-size corrections to scaling behavior in sorted cell aggregates

Abstract.

Cell sorting is a widespread phenomenon pivotal to the early development of multicellular organisms. In vitro cell sorting studies have been instrumental in revealing the cellular properties driving this process. However, these studies have as yet been limited to two-dimensional analysis of three-dimensional cell sorting events. Here we describe a method to record the sorting of primary zebrafish ectoderm and mesoderm germ layer progenitor cells in three dimensions over time, and quantitatively analyze their sorting behavior using an order parameter related to heterotypic interface length. We investigate the cell population size dependence of sorted aggregates and find that the germ layer progenitor cells engulfed in the final configuration display a relationship between total interfacial length and system size according to a simple geometrical argument, subject to a finite-size effect.

This is a preview of subscription content, access via your institution.

References

  1. M.S. Steinberg, Science 141, 401 (1963)

    Article  ADS  Google Scholar 

  2. M. Krieg, Y. Arboleda-Estudillo, P.-H. Puech, J. Käfer, F. Graner, D.J. Müller, C.-P. Heisenberg, Nat. Cell. Biol. 10, 429 (2008)

    Article  Google Scholar 

  3. J.C.M. Mombach, J.A. Glazier, R.C. Raphael, M. Zajac, Phys. Rev. Lett. 75, 2244 (1995)

    Article  ADS  Google Scholar 

  4. D.A. Beysens, G. Forgacs, J.A. Glazier, Proc. Natl. Acad. Sci. USA. 97, 9467 (2000)

    Article  ADS  Google Scholar 

  5. D. Duguay, R.A. Foty, M.S. Steinberg, Dev. Biol. 253, 309 (2003)

    Article  Google Scholar 

  6. E.E. Robinson, K.M. Zazzali, S.A. Corbett, R.A. Foty, J. Cell Sci. 116, 377 (2003)

    Article  Google Scholar 

  7. J.C.M. Mombach, D. Robert, F. Graner, G. Gillet, G.L. Thomas, M. Idiart, J.-P. Rieu, Physica A 352, 525 (2005)

    Article  ADS  Google Scholar 

  8. R.A. Foty, M.S. Steinberg, Dev. Biol. 278, 255 (2005)

    Article  Google Scholar 

  9. F. Graner, J.A. Glazier, Phys. Rev. Lett. 69, 2013 (1992)

    Article  ADS  Google Scholar 

  10. G.W. Brodland, J. Biomech. Eng. 124, 188 (2002)

    Article  Google Scholar 

  11. J.M. Belmonte, G.L. Thomas, L.G. Brunnet, R.M.C. de Almeida, H. Chaté, Phys. Rev. Lett. 100, 248702 (2008)

    Article  ADS  Google Scholar 

  12. M.S. Hutson, G.W. Brodland, J. Yang, D. Viens, Phys. Rev. Lett. 101, 148105 (2008)

    Article  ADS  Google Scholar 

  13. A.P. Napolitano, D.M. Dean, A.J. Man, J. Youssef, D.N. Ho, A.P. Rago, M.P. Lech, J.R. Morgan, Biotechniques 43, 494 (2007)

    Article  Google Scholar 

  14. J. Stühmer, Thesis, Technische Universität Dresden (2007)

  15. E.M. Schötz, R.D. Burdine, F. Jülicher, M.S. Steinberg, C.-P. Heisenberg, R.A. Foty, HFSP J. 2, 42 (2008)

    Article  Google Scholar 

Download references

Author information

Affiliations

Authors

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Klopper, A.V., Krens, G., Grill, S.W. et al. Finite-size corrections to scaling behavior in sorted cell aggregates. Eur. Phys. J. E 33, 99–103 (2010). https://doi.org/10.1140/epje/i2010-10642-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epje/i2010-10642-y

Keywords

  • Sorting
  • PDMS
  • Cell Sorting
  • System Size
  • Mesoderm Cell