Reaction–Diffusion Systems

  • Philipp O. J. SchererEmail author
  • Sighart F. Fischer
Part of the Biological and Medical Physics, Biomedical Engineering book series (BIOMEDICAL)


Reaction-diffusion systems are described by nonlinear equations and show the formation of structures. Static as well as dynamic patterns found in biology can be very realistically simulated. We derive the equations for a coupled diffusion-reaction system and classify possible instabilities. The Fitzhugh-Nagumo model as a simplification of the Hodgkin Huxley model is analyzed in detail.

Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Physikdepartment T38Technische Universität MünchenGarchingGermany

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