Inferring network structure and local dynamics from neuronal patterns with quenched disorder

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

“…As mentioned above, individual excitability acts as a key component of the dynamics and yields irregular patterns of activity like those displayed in real measurements. The reconstruction scheme was applied in Adam et al (2020) to longitudinal wide-field fluorescence microscopy data of cortical functionality in groups of awake mice and enabled us to identify altered distributions in neuron excitability immediately after the stroke, and in agreement with earlier observation (Schiene et al 1996;Neumann-Haefelin et al 1995;Berger et al 2019). Conversely, rehabilitation allowed to recover a distribution similar to pre-stroke conditions.…”

“…Motivated by this, in Adam et al (2020) we proposed and tested against both synthetic and real data, an inverse scheme to quantify the statistics of neurons' excitability, while inferring, from global activity measurements, the, a priori unknown, distribution of network connectivities. The method employs an extended model of Leaky-Integrate and Fire (LIF) neurons, with short-term plasticity.…”

“…The method employs an extended model of Leaky-Integrate and Fire (LIF) neurons, with short-term plasticity. Only excitatory neurons are accounted for in Adam et al (2020). These are assumed to be coupled via a directed network and display a degree of heterogeneity in the associated current, which sets the firing regime in which a neuron operates.…”

“…In Adam et al (2020) the approach was generalized so as to account for the dynamical heterogeneity, as stemming from the intrinsic degree of individual neurons' excitability. As mentioned above, individual excitability acts as a key component of the dynamics and yields irregular patterns of activity like those displayed in real measurements.…”

“…The goal of this work is to push forward the reconstruction algorithm by accounting for the simultaneous presence of both excitatory and inhibitory neurons, in a refined variant of the inversion scheme proposed in Adam et al (2020). Notice that already in di Volo et al (2016) intertangled families of excitatory and inhibitory neurons have been considered, but only in a simplified setting where currents were assumed to be homogeneous.…”