# American Institute of Mathematical Sciences

2014, 11(1): 27-48. doi: 10.3934/mbe.2014.11.27

## Cross nearest-spike interval based method to measure synchrony dynamics

 1 Department of Mathematics, Facultad de Informática, Campus de Elviña s/n, 15071, Universidade da Coruña, A Coruña, Spain, Spain 2 Interuniversity Institute for Biostatistics and statistical Bionformatics, Hasselt University and KULeuven, Hasselt, Belgium, Belgium 3 Neuroscience and Motor Control Group (NEUROcom), Department of Medicine, Facultad de Ciencias de la Salud, Campus de Oza s/n, 15006, Universidade da Coruña, A Coruña, Spain, Spain, Spain

Received  December 2012 Revised  June 2013 Published  September 2013

A new synchrony index for neural activity is defined in this paper. The method is able to measure synchrony dynamics in low firing rate scenarios. It is based on the computation of the time intervals between nearest spikes of two given spike trains. Generalized additive models are proposed for the synchrony profiles obtained by this method. Two hypothesis tests are proposed to assess for differences in the level of synchronization in a real data example. Bootstrap methods are used to calibrate the distribution of the tests. Also, the expected synchrony due to chance is computed analytically and by simulation to assess for actual synchronization.
Citation: Aldana M. González Montoro, Ricardo Cao, Christel Faes, Geert Molenberghs, Nelson Espinosa, Javier Cudeiro, Jorge Mariño. Cross nearest-spike interval based method to measure synchrony dynamics. Mathematical Biosciences & Engineering, 2014, 11 (1) : 27-48. doi: 10.3934/mbe.2014.11.27
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