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Nerve impulse equations

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Structural Stability, the Theory of Catastrophes, and Applications in the Sciences

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 525))

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References

  1. G. Carpenter, “Traveling Wave Solutions of Nerve Impulse Equations”, Ph.D. Thesis, Univ. of Wisconsin (1974).

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  2. G. Carpenter, “Periodic Solutions of Nerve Impulse Equations”, in preparation (1975).

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  3. G. Conley and R. Easton, “Isolated Invariant Sets and Isolating Blocks”, TAMS 158 (1971), 35–61.

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  4. R. FitzHugh, “Impulses and Physiological States in Theoretical Models of Nerve Membrane”, Biophys. J. 1 (1961) 445–466.

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  5. A. L. Hodgkin and A. F. Huxley, “A Quantitative Description of Membrane Current and its Application to Conduction and Excitation in Nerve”, J. Physiol. 117 (1952) 500–544.

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  6. J. Nagumo, S. Arimoto, and S. Yoshizawa, “An Active Pulse Transmission Line Simulating Nerve Axon”, Proc. IRE 50 (1964) 2061–2070.

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  7. I. Tasaki and S. Hagiwara, “Demonstration of Two Stable Potential States in the Giant Squid Axon under Tetraethylammonium Chloride”, J. Gen. Physiol. 40 (1957) 859–885.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts

    Gail A. Carpenter

Authors
  1. Gail A. Carpenter
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Peter Hilton

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© 1976 Springer-Verlag

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Carpenter, G.A. (1976). Nerve impulse equations. In: Hilton, P. (eds) Structural Stability, the Theory of Catastrophes, and Applications in the Sciences. Lecture Notes in Mathematics, vol 525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077843

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  • DOI: https://doi.org/10.1007/BFb0077843

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07791-6

  • Online ISBN: 978-3-540-38254-6

  • eBook Packages: Springer Book Archive

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