Skip to main content

Dendritic Branching Patterns

  • Chapter
Chaos in Biological Systems

Part of the book series: NATO ASI Series ((NSSA,volume 138))

Abstract

Collicular neurones impress strongly by the specific branching mode of their dendrites. In dependence on localization within the superior colliculus (SC) generalized (isodendritic) and specialized (allodendritic) branching patterns can be found in the deep and superficial layers, respectively. These structural differences are correlated with distinct functional roles in information processing: deep layer neurones (TRSNs) get multimodal afferences, whereas superficial layer neurones (SLNs) receive exclusively unimodal (visual) inputs [11,12]. As in biology in general, the structure-function relationship is the central question in neurobiology. The paradigm of self-organization currently being discovered in physics and biology should allow to overcome the undialectic separation of structure (or form) and function which arose historically in biology due to the absence of precise concepts [7]. The unity of structure and function is a fundamental of any theory of self-organization: the developing structure corresponds to its function, and vice versa.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. R.C. Ball, R.M. Brady, G. Rossi and B.R. Thompson, Anisotropy and cluster growth by diffusion-limited aggregation, Phys. Rev. Lett. 55: 1406–1409 (1985).

    Article  PubMed  CAS  Google Scholar 

  2. M. Berry, P. McConnel and J. Sievers, Dendritic growth and the control of neuronal form, in ‘Current Topics in Developmental Biology’, Vol. 15, ed. K. Hunt, pp. 67–101, Academic Press, New York (1980).

    Google Scholar 

  3. W.M. Cowan, Aspects of neural development, in International Review of Physiology, Neurophysiology III, Vol. 17, ed. R. Porter, pp. 149–191, University Park Press, Baltimore (1978).

    Google Scholar 

  4. B.C. Goodwin, What are the causes of morphogenesis? Bioessays 3: 32–36 (1986).

    Article  Google Scholar 

  5. S. Havlin, Z.V. Djordjevic, I. Majid, H.E. Stanley and G.H. Weiss, Relation between dynamic transport properties and static topological structure for the lattice-animal model of branched polymers, Phys. Rev. Lett. 53: 178–181 (1984).

    Article  CAS  Google Scholar 

  6. J.J.B. Jack, D. Noble and R.W. Tsien, Electric Current Flow in Excitable Cells, Clarendon Press, Oxford (1975).

    Google Scholar 

  7. R. Levins and R. Lewontin, ‘The Dialectical Biologist’, Harvard University Press, Cambridge, Mass. and London, England (1985).

    Google Scholar 

  8. B.B. Mandelbrot, ‘The Fractal Geometry of Nature’, Freeman, and Co., San Francisco (1983).

    Google Scholar 

  9. P. Meakin, A new model for biological pattern formation, J. theor. Biol. 118: 101–113 (1986).

    Article  PubMed  CAS  Google Scholar 

  10. A. Prochiantz, Neuronal growth and shape, Dev. Neurosci. 7: 189–198 (1985).

    Article  PubMed  CAS  Google Scholar 

  11. A. Schierwagen, Segmental cable modelling of electronic transfer properties of deep superior colliculus neurons in the cat. J. Hirnforsch. 27: 679–690 (1986).

    PubMed  CAS  Google Scholar 

  12. A. Schierwagen and R. Grantyn, Quantitative morphological analysis of deep superior colliculus neurons stained intracellularly with HRP in the cat. J. Hirnforsch. 27: 611–623 (1986).

    PubMed  CAS  Google Scholar 

  13. T.A. Witten and M.E. Cates, Tenuous structures from disorderly growth processes, Science 232: 1607–1612 (1986).

    Article  PubMed  CAS  Google Scholar 

  14. T.A. Witten and L.M. Sander, Diffusion-limited aggregation, a kinetic critical phenomenon, Phys. Rev. Lett. 47: 1400–1403 (1981).

    Article  CAS  Google Scholar 

  15. L. Wolpert, Positional information and the spatial pattern of cellular differentiation, J. theor. Biol. 25: 1–47 (1969).

    Article  PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer Science+Business Media New York

About this chapter

Cite this chapter

Schierwagen, A.K. (1987). Dendritic Branching Patterns. In: Degn, H., Holden, A.V., Olsen, L.F. (eds) Chaos in Biological Systems. NATO ASI Series, vol 138. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9631-5_22

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9631-5_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9633-9

  • Online ISBN: 978-1-4757-9631-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics