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Nonlinear Oscillations in Biology and Chemistry pp 19–33Cite as

On Different Mechanisms for Membrane Potential Bursting

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Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 66))

Abstract

A number of mathematical models have been proposed to describe the electrical bursting activity of biological excitable membrane systems. Many of these models have been formulated for specific applications [4,5,14]. One of our goals has been to understand the basic underlying qualitative structure of these models and to distinguish, possibly different, classes of models for bursting. In this paper we contrast two examples which illustrate different mathematical mechanisms.

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Author information

Authors and Affiliations

  1. Mathematical Research Branch, NIADDK, National Institutes of Health, Bethesada, MD, 20205, USA

    John Rinzel & Young Seek Lee

Authors
  1. John Rinzel
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  2. Young Seek Lee
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA

    Hans G. Othmer

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© 1986 Springer-Verlag Berlin Heidelberg

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Rinzel, J., Lee, Y.S. (1986). On Different Mechanisms for Membrane Potential Bursting. In: Othmer, H.G. (eds) Nonlinear Oscillations in Biology and Chemistry. Lecture Notes in Biomathematics, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93318-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-93318-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16481-4

  • Online ISBN: 978-3-642-93318-9

  • eBook Packages: Springer Book Archive

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