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Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 28))

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Abstract

A pulse is a traveling structure whose profile approaches the same limit at ±«. Thus, as distinguished from a front, the reacting medium returns to its original state after a pulse traverses it. Signals propagating along a nerve axon are very successfully modeled by pulse solutions of the Hodgkin-Huxley (HH) or FitzHugh-Nagumo (FHN) systems of reaction-diffusion equations, and this, in fact, is the context within which almost all the work on reaction-diffusion pulses has been performed. Excellent reviews of this work are available (Rinzel 1978a; Scott 1975, 1977; Hastings 1975; Troy 1978a; H. Cohen 1971), and so my comments here will be very brief.

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© 1979 Springer-Verlag Berlin Heidelberg

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Fife, P.C. (1979). References to Other Topics. In: Mathematical Aspects of Reacting and Diffusing Systems. Lecture Notes in Biomathematics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93111-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-93111-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09117-2

  • Online ISBN: 978-3-642-93111-6

  • eBook Packages: Springer Book Archive

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