Reconstruction scheme for excitatory and inhibitory dynamics with quenched disorder: application to zebrafish imaging
arXiv:2007.04370 · doi:10.1007/s10827-020-00774-1
Abstract
An 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.
References in corpus (9)
- Epidemic spreading in scale-free networks
- Critical phenomena in complex networks
- Weak pairwise correlations imply strongly correlated network states in a neural population
- Dynamic Balance of Excitation and Inhibition in Human and Monkey Neocortex
- Effects of excitation light polarization on fluorescence emission in two-photon light-sheet microscopy
- Heterogeneous Mean Field for neural networks with short term plasticity
- Neural networks with excitatory and inhibitory components: direct and inverse problems by a mean-field approach
- Three cooperative mechanisms required for recovery after brain damage
- Reactive explorers to unravel network topology