Skip to main content
SpringerLink
Log in

A model of pre-programmed differentiation of the larval head region in limnaea stagnalis

  • Published:
Acta Biotheoretica Aims and scope Submit manuscript

Summary

A model is given of the development of a radialised larval head pattern inLimnaea stagnalis, as it occurs under certain experimental conditions. It is assumed that the differentiation of the pattern is entirely based on cell-internal factors, and that the internal state of each cell is dependent on that of its progenitor and on the direction of the division by which it is produced. This internal state determines the direction of the subsequent division or the nature of the cell's differentiation. Cell interactions, which are during this period of minor importance, are left out of consideration.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Apter, M. J. (1966). Cybernetics and development. Pergamon Press, Oxford.

    Google Scholar 

  • Lindenmayer, A. (1968a). Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs.- J. theor. Biol.18, 280.

    Google Scholar 

  • Lindenmayer, A. (1968b). Mathematical models for cellular interactions in development. II. Simple and branching filaments with two-sided inputs.- J. theor. Biol.18, 300.

    Google Scholar 

  • Raven, Chr. P. (1961). Oogenesis: The storage of developmental information. Pergamon Press, Oxford.

    Google Scholar 

  • Raven, Chr. P. (1964). Mechanisms of determinations in the development of gastropods.- Adv. in Morphogenesis3, 1.

    Google Scholar 

  • Raven, Chr. P. (1966). Morphogenesis. The analysis of molluscan development. 2nd ed. Pergamon Press, Oxford.

    Google Scholar 

  • Raven, Chr. P. (1968). Ontwikkeling als informatieverwerking. W. de Haan-J. M. Meulenhoff, Hilversum-Amsterdam.

    Google Scholar 

  • Verdonk, N. H. (1965). Morphogenesis of the head region inLimnaea stagnalis L. Thesis, Utrecht.

  • Verdonk, N. H. (1968). The determination of bilateral symmetry in the head region ofLimnaea stagnalis. Acta Embr. Morph. exp. (in the press).

Download references

Author information

Authors and Affiliations

  1. Zoological Laboratory, University of Utrecht, The Netherlands

    C. P. Raven

Authors
  1. C. P. Raven
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Raven, C.P. A model of pre-programmed differentiation of the larval head region in limnaea stagnalis. Acta Biotheor 18, 316–329 (1968). https://doi.org/10.1007/BF01556733

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01556733

Keywords

Search

Navigation