@article{mor21,
author = {Rahimi-Majd M., and Seifi M. A., and de Arcangelis L., and Najafi M. N.,},
pages = {1-7},
title = {Role of anaxonic local neurons in the crossover to continuously varying exponents for avalanche activity},
volume = {103},
note = {Articolo in rivista},
issn = {2470-0045},
journal = {PHYSICAL REVIEW. E},
doi = {10.1103/PhysRevE.103.042402},
year = {2021},
abstract = {Local anaxonic neurons with graded potential release are important ingredients of nervous systems, present
in the olfactory bulb system of mammalians and in the human visual system, as well as in arthropods and
nematodes. We develop a neuronal network model including both axonic and anaxonic neurons and monitor
the activity tuned by the following parameters: the decay length of the graded potential in local neurons, the
fraction of local neurons, the largest eigenvalue of the adjacency matrix, and the range of connections of the
local neurons. Tuning the fraction of local neurons, we derive the phase diagram including two transition
lines: a critical line separating subcritical and supercritical regions, characterized by power-law distributions
of avalanche sizes and durations, and a bifurcation line. We find that the overall behavior of the system is
controlled by a parameter tuning the relevance of local neuron transmission with respect to the axonal one. The
statistical properties of spontaneous activity are affected by local neurons at large fractions and on the condition
that the graded potential transmission dominates the axonal one. In this case the scaling properties of spontaneous
activity exhibit continuously varying exponents, rather than the mean-field branching model universality
class.}
}