In this section
@article{Pausch:2020:10.1038/s41598-020-69705-5,
author = {Pausch, J and Garcia-Millan, R and Pruessner, G},
doi = {10.1038/s41598-020-69705-5},
journal = {Scientific Reports},
pages = {1--17},
title = {Timedependent branching processes: a model of oscillating neuronal avalanches},
url = {http://dx.doi.org/10.1038/s41598-020-69705-5},
volume = {10},
year = {2020}
}
TY - JOUR
AB - Recently, neuronal avalanches have been observed to display oscillations, a phenomenon regarded as the co-existenceof a scale-free behaviour (the avalanches close to criticality) and scale-dependent dynamics (the oscillations). Ordinarycontinuous-time branching processes with constant extinction and branching rates are commonly used as models of neuronalactivity, yet they lack any such time-dependence. In the present work, we extend a basic branching process by allowing theextinction rate to oscillate in time as a new model to describe cortical dynamics. By means of a perturbative field theory, wederive relevant observables in closed form. We support our findings by quantitative comparison to numerics and qualitativecomparison to available experimental results.
AU - Pausch,J
AU - Garcia-Millan,R
AU - Pruessner,G
DO - 10.1038/s41598-020-69705-5
EP - 17
PY - 2020///
SN - 2045-2322
SP - 1
TI - Timedependent branching processes: a model of oscillating neuronal avalanches
T2 - Scientific Reports
UR - http://dx.doi.org/10.1038/s41598-020-69705-5
UR - https://www.nature.com/articles/s41598-020-69705-5
UR - http://hdl.handle.net/10044/1/81429
VL - 10
ER -