In this seminar, four issues will be discussed
- spike sorting,
- spike train analysis,
- neuronal networks modeling and simulations—for models on which mathematicians can work,
- the analysis of fluorescence data used to measure free calcium concentration
The first issue recently came back in the spotlight with the development of MEA (Multi-Electrode Arrays). It requires "classical" clustering techniques together with some additional ones for dealing with superposition—co-occurrences of action potentials (spikes) from several neurons in a short time interval.
The second issue follows once a "satisfying" answer has been found to the first. It requires what probabilists call point processes or counting processes, but still stumbles over a pervasive feature of (extracellular) neuronal data: only a tiny fraction of the neurons of a given network is actually observed. This is what motivates the third issue: develop models allowing to say something about the whole network from the observation of a sample of its members.
The fourth issue could be seen as a "trivial" non-linear regression problem, but it clearly shows the improvements in model parameters estimation that can be gained from dealing properly with the measuring apparatus properties—the data recorded by a CCD chip follow a Poisson distribution.
Finally, "reproducible research"—more precisely, "reproducible data analysis"—is a methodological theme common to all these issues that will be present in the background of the discussion.
References
- C. Pouzat (2016) "Analysis of Extracellular Recordings" (http://xtof.perso.math.cnrs.fr/pdf/Chapter08.pdf)
- C. Pouzat et A. Chaffiol (2009) "Automatic Spike Train Analysis and Report Generation. An Implementation with R, R2HTML and STAR", Journal of Neuroscience Methods, 181: 119-144
- A. Galves, E. Löcherbach, C. Pouzat, E. Presutti (2019) "A system of interacting neurons with short term plasticity" (arXiv:1903.01270, https://arxiv.org/abs/1903.01270)
- S. Hess, C. Pouzat, L. Paeger, P. Kloppenburg (2019) "A comparison of beta-escin and whole-cell for the added buffer approach (Version v1.2)." Zenodo. http://doi.org/10.5281/zenodo.3238248
- A. Legrand, K. Hinsen, C. Pouzat (2019) Mooc "Reproducible research: Methodological principles for a transparent science" (https://learninglab.inria.fr/en/mooc-recherche-reproductible-principes-methodologiques-pour-une-science-transparente/)
Invited by
Dr. Christophe Pouzat is invited by Laura-Adela Harsan, IMIS Team, ICube.