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Mathematical analysis of competition between sensory ganglion cells for nerve growth factor in the skin

  • Part I: Coding and Learning in Biology
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Artificial Neural Networks — ICANN'97 (ICANN 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1327))

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Abstract

We model the competition between sensory axons for nerve growth factor (NGF) produced in the periphery. Previous models predicted the loss of all but one of the axons innervating a given region, owing to the unlimited growth of the “fittest” axon. We have imposed an upper limit to axon growth, thereby introducing new equilibria, and we show by LaSalle's theorem that, several axons can then survive, depending on the rate of NGF production.

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References

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Authors and Affiliations

  1. Ecole Polytechnique Fédérale de Lausanne, Département de mathématiques, CH-1015, Lausanne, Switzerland

    Raymond Kohli

  2. Université de Lausanne, Institut de biologie cellulaire et de morphologie, Rue du Bugnon 9, CH-1005, Lausanne, Switzerland

    Peter G. H. Clarke

Authors
  1. Raymond Kohli
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  2. Peter G. H. Clarke
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Editor information

Wulfram Gerstner Alain Germond Martin Hasler Jean-Daniel Nicoud

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© 1997 Springer-Verlag Berlin Heidelberg

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Kohli, R., Clarke, P.G.H. (1997). Mathematical analysis of competition between sensory ganglion cells for nerve growth factor in the skin. In: Gerstner, W., Germond, A., Hasler, M., Nicoud, JD. (eds) Artificial Neural Networks — ICANN'97. ICANN 1997. Lecture Notes in Computer Science, vol 1327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020145

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  • DOI: https://doi.org/10.1007/BFb0020145

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63631-1

  • Online ISBN: 978-3-540-69620-9

  • eBook Packages: Springer Book Archive

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