2014/06/02 by Julien Chevallier, Chevallier, Julien, Thomas Laloë +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Neuroscience · Physics and Astronomy · #FOS: Biological sciences #FOS: Mathematics #Gene Regulatory Network Analysis #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Statistics Theory (math.ST) #stochastic dynamics and bifurcation
paper · doi:10.48550/arxiv.1406.0476
openalex publication_date 2014/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Unitary Events (UE) method is a popular and efficient method used this last decade to detect dependence patterns of joint spike activity among simultaneously recorded neurons. The first introduced method is based on binned coincidence count \citepGrun1996 and can be applied on two or more simultaneously recorded neurons. Among the improvements of the methods, a transposition to the continuous framework has recently been proposed in \citepmuino2014frequent and fully investigated in \citepMTGAUE for two neurons. The goal of the present paper is to extend this study to more than two neurons. The main result is the determination of the limit distribution of the coincidence count. This leads to the construction of an independence test between L≥ 2 neurons. Finally we propose a multiple test procedure via a Benjamini and Hochberg approach \citepBenjamini1995. All the theoretical results are illustrated by a simulation study, and compared to the UE method proposed in \citepGrun2002. Furthermore our method is applied on real data.