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Firing map for periodically and almost-periodically driven integrate-and-fire models: a dynamical systems approach
Abstract
We consider the Leaky Integrate-and-Fire and Perfect Integrator models of neuron’s dynamics with the input function being periodic and almost-periodic (in the sense of Stepanov). In particular we analyze properties and dynamics of the so-called firing map, which iterations give timings of consecutive spikes of a neuron. In case of a periodic input function we provide a detailed description of the sequence of interspike-intervals, which is based on a study of displacement sequences along trajectories of circle homeomorphisms.
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- Category:
- Conference activity
- Type:
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Title of issue:
- Proceedings of the XVIII National Conference on Applications of Mathematics in Biology and Medicine strony 119 - 124
- Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Signerska-Rynkowska J.: Firing map for periodically and almost-periodically driven integrate-and-fire models: a dynamical systems approach// Proceedings of the XVIII National Conference on Applications of Mathematics in Biology and Medicine/ : , 2012, s.119-124
- Verified by:
- Gdańsk University of Technology
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