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On bees, splines and fractional integration - an approach to modelling calcium imaging data

Olfactory coding is an interesting branch of neurobiology with challenging statistical problems. In this talk, calcium imaging data measuring reactions to olfactory stimuli in the antennal lobe of honeybees is considered. Specific biological questions lead to a combination of regression splines, fractional processes and errors-in-variables regression. Asymptotic results for spline estimators are based on fractional calculus and integration with respect to fractional Brownian motion or Hermite processes. Test statistics for examining the effect of neurotransmitters are derived taking into account errors-in-variables and previously derived limit theorems. This is joint work with Arno Weiershäuser (Department of Mathematics and Statistics, University of Konstanz) and several colleagues from neurobiology (Giovanni Galizia, Julia Rein, Martin Strauch, Brian H. Smith).


Speaker: Jan Beran (Fachbereich für Mathematik und Statistik, Universität Konstanz)

When and where?

Tuesday, Nov 23, 2010, 4.30 pm, M / E25