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Modelling Perspectives

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Abstract

Before we dwell on prospective modelling studies in the context of neuronal phase resetting, let us first recall the starting point of our modelling approach. The repetitive firing of a neuron in the Hodgkin and Huxley (1952) model for the squid axon corresponds to a motion along a limit cycle (cf. Murray 1989). As explained in Sect. 3.4 a limit cycle oscillator can be approximated by means of a phase oscillator (Winfree 1967, Kuramoto 1984), and, thus, a population of repetitively firing neurons can be modeled by a cluster of phase oscillators.

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© 1999 Springer-Verlag Berlin Heidelberg

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Tass, P.A. (1999). Modelling Perspectives. In: Phase Resetting in Medicine and Biology. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38161-7_9

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  • DOI: https://doi.org/10.1007/978-3-540-38161-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38159-4

  • Online ISBN: 978-3-540-38161-7

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