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A New Approach to the Solution of Neurological Models: Application to the Hodgkin-Huxley and the Fitzhugh-Nagumo Equations

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Stochastic Processes and their Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 370))

Abstract

The solution of the Hodgkin-Huxley and the Fitzhugh-Nagumo equations are demonstrated as applications of the decomposition method [1–3] which can be used as a new and useful approach obtaining analytical and physically realistic solutions to neurological models and other biological problems without perturbation, linearization, discretization, or massive computation.

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Author information

Authors and Affiliations

  1. Center For Applied Mathematics, University of Georgia, USA

    George Adomian

  2. Department of Applications Research and Development, University of Texas System, 78758-4497, Austin, TX, USA

    Matthew Witten

  3. Center for High Performance Computing, Balcones Research Center, 78758-4497, Austin, TX, USA

    Matthew Witten

  4. Alfred E.Mann Foundation for Scientific Research, 91342, Sylmar, CA, USA

    Gerald E. Adomian

  5. Harbor-UCLA Medical Center, UCLA School of Medicine, USA

    Gerald E. Adomian

Authors
  1. George Adomian
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  2. Matthew Witten
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  3. Gerald E. Adomian
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Editor information

Editors and Affiliations

  1. Brown University, 02912, Providence, RI, USA

    M. J. Beckmann

  2. Institut für Angewandte Mathematik, Technische Universität München, München, Germany

    M. J. Beckmann

  3. Department of Mathematics, Indian Institute of Technology, Bombay, India

    M. N. Gopalan

  4. Department of Mathematics, Indian Institute of Technology, Madras, India

    R. Subramanian

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© 1991 Springer-Verlag Berlin Heidelberg

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Adomian, G., Witten, M., Adomian, G.E. (1991). A New Approach to the Solution of Neurological Models: Application to the Hodgkin-Huxley and the Fitzhugh-Nagumo Equations. In: Beckmann, M.J., Gopalan, M.N., Subramanian, R. (eds) Stochastic Processes and their Applications. Lecture Notes in Economics and Mathematical Systems, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58201-1_9

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  • DOI: https://doi.org/10.1007/978-3-642-58201-1_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54635-1

  • Online ISBN: 978-3-642-58201-1

  • eBook Packages: Springer Book Archive

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