- Poster presentation
- Open Access
Periodically stimulated piecewise linear adaptive exponential integrate-and-fire neuron
© Shiau and Laing; licensee BioMed Central Ltd. 2013
- Published: 8 July 2013
- Hair Cell
- Lyapunov Exponent
- Piecewise Linear
- Maximal Lyapunov Exponent
- Periodic Stimulus
Although variability is a ubiquitous characteristic of the nervous system, under appropriate conditions neurons can generate precisely timed action potentials. Thus considerable attention has been given to the study of a neuron's output in relation to its stimulus. Frequency selectivity of mode locking exhibits in clinical studies of human cardiorespiratory systems , experimental sensory processing in the auditory nerve  and hair cells in cochlea , and experimental brain study in thalamocortical relay neuron response . To understand the mechanisms behind these functional features, spiking neuron models are used in studying the precise timing of firing events that is thought to underlie the frequency mode locking. In this study, we consider an increasingly popular model, the adaptive exponential integrate- and-fire (aEIF) neuron, and, for analytical tractability, its piecewise linear variant is adopted to understand the responses of such neurons to periodic stimuli.
The aEIF model includes a subthreshold and a spike-triggered adaptation parameters which can be related to the M-current and the afterhyperpolarization current, respectively, both producing spike-frequency adaptation. We observe similar tongue structures when either adaptation value is increased. It consists with the finding shown  that higher values of input current are required to maintain the same spiking frequency with an increase of either adaptation parameter. The theoretical analysis is in excellent agreement with numerical simulations, and this study can be used to further understand the functional features related to responses of such neurons to biologically realistic stimuli.
- McGuinness M, Hong Y, Galletly D, Larsen P: Arnold tongues in human cardiorespiratory systems. Chaos. 2004, 14 (1): 1-6. 10.1063/1.1620990.View ArticlePubMedGoogle Scholar
- Moller A: Frequency selectivity of phase locking of complex sounds in the auditory nerve of the rat. Hearing Research. 1983, 11: 267-284. 10.1016/0378-5955(83)90062-X.View ArticlePubMedGoogle Scholar
- Koch C: Biophysics of computation: Information processing in single neurons. 1999, Oxford University PressGoogle Scholar
- Smith GD, Cox CL, Sherman SM, Rinzel J: Fourier analysis of sinusoidally driven thalamocortical relay neurons and a minimal integrate-and-fire-or-burst model. J Neurophysiol. 2000, 83 (1): 588-610.PubMedGoogle Scholar
- Ladenbauer J, Augustin M, Shiau L, Obermayer K: Impact of adaptation currents on synchronization properties of coupled exponential integrate-and-fire neurons. PLoS Comput Biol. 2012, 8 (4): e1002478-10.1371/journal.pcbi.1002478. doi: 10.1371 /journal.pcbi.1002478, 2012PubMed CentralView ArticlePubMedGoogle Scholar
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