Biology – Quantitative Biology – Neurons and Cognition
Scientific paper
2006-12-13
Biology
Quantitative Biology
Neurons and Cognition
33 pages. LaTeX + 12 figures. Submitted to Neural Computation
Scientific paper
White noise methods are a powerful tool for characterizing the computation performed by neural systems. These methods allow one to identify the feature or features that a neural system extracts from a complex input, and to determine how these features are combined to drive the system's spiking response. These methods have also been applied to characterize the input/output relations of single neurons driven by synaptic inputs, simulated by direct current injection. To interpret the results of white noise analysis of single neurons, we would like to understand how the obtained feature space of a single neuron maps onto the biophysical properties of the membrane, in particular the dynamics of ion channels. Here, through analysis of a simple dynamical model neuron, we draw explicit connections between the output of a white noise analysis and the underlying dynamical system. We find that under certain assumptions, the form of the relevant features is well defined by the parameters of the dynamical system. Further, we show that under some conditions, the feature space is spanned by the spike-triggered average and its successive order time derivatives.
Arcas Blaise Aguera y.
Fairhall Adrienne L.
Hong Sungho
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