The neuron's response at extended timescales

Abstract

Many systems are modulated by unknown slow processes. This hinders analysis in highly non-linear systems, such as excitable systems. We show that for such systems, if the input matches the sparse `spiky' nature of the output, the spiking input-output relation can be derived. We use this relation to reproduce and interpret the irregular and complex 1/f response observed in isolated neurons stimulated over days. We decompose the neuronal response into contributions from its long history of internal noise and its short (few minutes) history of inputs, quantifying memory, noise and stability.

1) Soudry D and Meir R (2014) The neuronal response at extended timescales: a linearized spiking input--output relation. Front. Comput. Neurosci. 8:29. doi: 10.3389/fncom.2014.00029 2) Soudry, D., and Meir, R. (2014). The neuronal response at extended timescales: long term correlations without long memory. Front. Comput. Neurosci. 8:35. doi: 10.3389/fncom.2014.00035. This is an obsolete version of the manuscript. The complete updated version was published on two papers - see in comments