On the pertinence of a numerical transmission model for neural information

Zoran Tiganj 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this thesis we bring together advanced mathematical tools and signal processing methods to address three very important problems in neuroscience: neural action potential (spike) detection, neural spike sorting and directly neural coding. Starting from extracellular neural recordings, we first address the question of spike detection. The spike time occurrences appear (as irregularities) explicitly in the distributional derivatives of the neural signal. The problem is seen as a change point detection problem. Using operational calculus, which provides a convenient framework to handle such distributional derivatives, we characterize the time occurrence of a spike by an explicit formula. After spike detection we address the spike sorting problem. We developed a simple algorithm for a case when multi-channel recordings are available. The algorithm uses an iterative application of ICA and a deflation technique in two nested loops. In each iteration of the external loop, the spiking activity of one neuron is singled out and then deflated from the recordings. The internal loop implements a sequence of ICA and spike detection for removing the noise and all the spikes that are not coming from the targeted neuron. Finally, we discuss on properties of the neural code. We investigate whether the nature of the neural code is discrete or continuous. Moreover, if it is discrete, whether the elements of the code are drawn from a finite alphabet. We particularly address pulse-position coding scheme, making a link between communication theory and neural code.
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Zoran Tiganj. On the pertinence of a numerical transmission model for neural information. Signal and Image Processing. Université des Sciences et Technologie de Lille - Lille I, 2011. English. ⟨tel-00699623⟩

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