Reconstruction scheme for excitatory and inhibitory dynamics with quenched disorder: application to zebrafish imaging

• DOI: 10.1007/s10827-020-00774-1
• Publication Date: 2021-04-07T08:03:57Z
• Authors: Lorenzo Chicchi; Gloria Cecchini; Ihusan Adam; Giuseppe de Vito; Roberto Livi; Francesco Saverio...; Ludovico Silvestri; Lapo Turrini; Francesco Vanzi; Duccio Fanelli
• Keywords: Neurons; 0301 basic medicine; 0303 health sciences; disorder, zebrafish, light-sheet, two-photon; Models, Neurological; FOS: Physical sciences; Disordered Systems and Neural Networks (cond-mat.dis-nn); Condensed Matter - Disordered Systems and Neural Networks; Article; 03 medical and health sciences; Quantitative Biology - Neurons and Cognition; FOS: Biological sciences; Animals; Neurons and Cognition (q-bio.NC); Algorithms; Zebrafish

AbstractAn inverse procedure is developed and tested to recover functional and structural information from global signals of brains activity. The method assumes a leaky-integrate and fire model with excitatory and inhibitory neurons, coupled via a directed network. Neurons are endowed with a heterogenous current value, which sets their associated dynamical regime. By making use of a heterogenous mean-field approximation, the method seeks to reconstructing from global activity patterns the distribution of in-coming degrees, for both excitatory and inhibitory neurons, as well as the distribution of the assigned currents. The proposed inverse scheme is first validated against synthetic data. Then, time-lapse acquisitions of a zebrafish larva recorded with a two-photon light sheet microscope are used as an input to the reconstruction algorithm. A power law distribution of the in-coming connectivity of the excitatory neurons is found. Local degree distributions are also computed by segmenting the whole brain in sub-regions traced from annotated atlas.