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A model for a myelinated nerve axon

Part of the Lecture Notes in Mathematics book series (LNM,volume 1151)

Keywords

  • Comparison Principle
  • Unmyelinated Axon
  • Linear Parabolic Equation
  • Periodic Differential Equation
  • Scottish Academic

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References

  1. D.G. Aronson and H.F. Weinberger, Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation, in partial differential equations and related topics, Lecture Notes in Mathematics, Vol. 446, Springer Verlag, 1975.

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  2. J. Bell and C. Cosner, Threshold conditions for a diffusive model of a myelinated axon, J. Math. Biol. 18, 1983.

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  3. M.S.P. Eastham, The spectral theory of periodic differential equations, Scottish Academic Press, 1973.

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  4. P. Grindrod and B.D. Sleeman, A Model of a myelinated nerve axon with discrete finite nodes: threshold behaviour and propagation (in preparation).

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  5. D. Henry, Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics Vol. 840, Springer-Verlag, 1981.

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© 1985 Springer-Verlag

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Grindrod, P. (1985). A model for a myelinated nerve axon. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074727

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  • DOI: https://doi.org/10.1007/BFb0074727

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

  • eBook Packages: Springer Book Archive